MATH 302 MIDTERM EXAM
MATH 302
MATH 302 MIDTERM
MATH 302
MIDTERM EXAM
Part 1 of 9 -
Question 1 of 25 1.0/ 1.0 Points
Gender and State
... [Show More] are examples of which type of data?
A.Ordinal data
B.Discrete data
C.Categorical data
D.Continuous data
Answer Key: C
Part 2 of 9 - 2.0/ 2.0 Points
Question 2 of 25 1.0/ 1.0 Points
What type of probability uses sample spaces to determine the numerical probability that an event will occur?
A.classical probability
B.subjective probability
C.empirical probability
D.conditional probability
Answer Key: A
Question 3 of 25 1.0/ 1.0 Points
The formal way to revise probabilities based on new information is to use:
A.conditional probabilities
B.complementary probabilities
C.unilateral probabilities
D.common sense probabilities
Answer Key: A
Part 3 of 9 - 3.0/ 3.0 Points
Question 4 of 25 1.0/ 1.0 Points
The following data were obtained from a survey of college students. The variable X represents the number of non- assigned books read during the past six months.
x 0 1 2 3 4 5
P (X=x) 0.20 0.25 0.20 0.15 0.10 0.10
Find P( X 3)
A.0.20
B.0.15
C.0.85
D.0.80
Answer Key: D
Question 5 of 25 1.0/ 1.0 Points
A researcher surveyed college students to study their opinion about the proposed change in smoking rules. The researcher asked a group of 30 students: 12 of them supported the change, 13 of them did not, and 5 had no opinion. This is not a binomial model because...
A. less than half of the students supported the change.
B there are 3 possible outcomes, not 2.
C.30 students are not enough for a good sample
D. the students who strongly supported the change and those who only mildly
supported the change are counted the same.
Answer Key: B
Question 6 of 25 1.0/ 1.0 Points
A pet supplier has a stock of parakeets of which 10% are blue parakeets. A pet store orders 3 parakeets from this supplier. If the supplier selects the parakeets at random, what is the chance that the pet store gets exactly one blue parakeet?
A.0.081
B.0.243
C.0.027
D.0.003
Answer Key: B
Part 4 of 9 - 5.0/ 6.0 Points
Question 7 of 25 1.0/ 1.0 Points
The continuous distribution characterized by a symmetric, bell-shaped curve is the:
A.exponential distribution
B.binomial distribution
C.normal distribution
D.Poisson distribution
Answer Key: C
Question 8 of 25 1.0/ 1.0 Points
Given that Z is a standard normal variable, the value z for which P(Z < z) = 0.2580 is
A.-0.70
B.0.758
C.0.242
D.-0.65
Answer Key: D
Question 9 of 25 0.0/ 1.0 Points
The mean of a probability distribution is a:
A.measure of relative likelihood
B.measure of skewness of the distribution
C.measure of variability of the distribution
D.measure of central location
Answer Key: D
Question 10 of 25 1.0/ 1.0 Points
The average height of flowering cherry trees in a nursery is 11 feet. If the heights are normally distributed with a standard deviation of 1.6, find the probability that a randomly selected cherry tree in this nursery is less than 13 feet tall.
A. 0.67
B.0.89
C.0.95
D.0.11
Answer Key: B
Question 11 of 25 1.0/ 1.0 Points
Given that Z is a standard normal random variable, P(-1.0 < Z < 1.5) is
A.0.8413
B.0.9332
C.0.7745
D.0.0919
Answer Key: C
Question 12 of 25 1.0/ 1.0 Points
The theorem that states that the sampling distribution of the sample mean is approximately normal when the sample size n is reasonably large is known as the:
A.central limit theorem
B.central tendency theorem
C.point estimate theorem
D.simple random sample theorem
Answer Key: A
Part 5 of 9 - 1.0/ 1.0 Points
Question 13 of 25 1.0/ 1.0 Points
Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
The following data are the base salaries, in thousands of dollars, of 50 chief executive officers for a sample of companies doing business with the state of Connecticut. That is, the first entry in the table below corresponds to a salary of $125,000. A copy of this data set can be found in the Excel Workbook called CEOSalaries.xls.
125 157 113 127 201
165 145 119 148 158
148 168 117 105 136
136 125 148 108 178
179 191 225 204 104
205 197 119 209 157
209 205 221 178 247
235 217 222 224 187
265 148 165 228 239
245 152 148 115 150
Find the median of the CEO salaries, in thousands of dollars, rounded to 2 decimal places. Do not use a dollar sign. Note: $177,760 should be recorded as 177.76. 165.00
CEOSalaries.xls
Answer Key: 160.00|170.00
Part 6 of 9 - 2.0/ 2.0 Points
Question 14 of 25 1.0/ 1.0 Points
Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. Find the mean of the following probability distribution?
1 0.20
2 0.10
3 0.35
4 0.05
5 0.30
Place your answer, rounded to two decimal places, in the blank. 3.15 When entering your answer do not use any labels or symbols other than a decimal point. Simply provide the numerical value. For example, 1.23 would be a legitimate entry.
Answer Key: 3.15
Question 15 of 25 1.0/ 1.0 Points
Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE:
For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
If a gambler rolls two dice and gets a sum of four, he wins $10; and if he gets a sum of three, he wins $25. The cost to play the game is $5. What is the expectation of this game?
Place your answer, rounded to two decimal places, in the blank. -2.78 When entering your answer do not use a dollar sign. However, if the expected payoff is negative be sure to use a minus sign. For example, -1.23 would be a legitimate entry.
Answer Key: -2.88|-2.68
Part 7 of 9 - 0.0/ 2.0 Points
Question 16 of 25 0.0/ 1.0 Points
Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
Suppose that a marketing firm sends questionnaires to two different companies. Based on historical evidence, the marketing research firm believes that each company, independently of the other, will return the questionnaire with a probability of 0.30. What is the probability that neither of the questionnaires will be returned? Place your answer, rounded to 2 decimal places, in the blank. For example, 0.23 is a legitimate entry. 0.09
Answer Key: 0.49
Question 17 of 25 0.0/ 1.0 Points
Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
An ice cream vendor sells three flavors: chocolate, strawberry, and vanilla. Forty five percent of the sales are chocolate, while 30% are strawberry, with the rest vanilla flavored. Sales are by the cone or the cup. The percentages of cones sales for chocolate, strawberry, and vanilla, are 75%, 60%, and 40%, respectively. For a randomly selected sale, define the following events:
= chocolate chosen
= strawberry chosen
= vanilla chosen
= ice cream on a cone
ice cream in a cup
Find the probability that the ice cream was chocolate flavor, given that it was sold on a cone. Place your answer, rounded to 4 decimal places, in the blank. For exampe, 0.3456 would be a legitimate entry. 0.6175
Answer Key: 0.5466
Part 8 of 9 - 6.0/ 6.0 Points
Question 18 of 25 1.0/ 1.0 Points
Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
A set of final exam scores in an organic chemistry course was found to be normally distributed, with a mean of 73 and a standard deviation of 8.
What is the probability of getting a score higher than 71 on this exam? Place your answer, rounded to 4 decimal places in the blank. For example, 0.3456 would be a legitimate entry. 0.5487
Answer Key: 0.5487|0.6487
Question 19 of 25 1.0/ 1.0 Points
Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
A set of final exam scores in an organic chemistry course was found to be normally distributed, with a mean of 73 and a standard deviation of 8.
What is the probability of getting a score of 68 or less on this exam? Place your answer, rounded to 4 decimal places in the blank. For example, 0.3456 would be a legitimate entry. 0.2160
Answer Key: 0.2160|0.3160
Question 20 of 25 1.0/ 1.0 Points
Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
Scores on a mathematics examination appear to follow a normal distribution with mean of 65 and standard deviation of 15. The instructor wishes to give a grade of “C” to students scoring between the 60th and 70th percentiles on the exam.
What score represents the 70th percentile score on the mathematics exam? Place your answer in the blank, rounded to a whole number. For example, 62 would be a legitimate entry. 71
Answer Key: 70.87|74.87
Question 21 of 25 1.0/ 1.0 Points
Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
It has been observed that electrical connectors manufactured by Jolt Electrical Supply Company last an average of 18.2 months and follow a normal distribution with a standard deviation of 1.7 months. Jolt agrees to replace any connector that fails within 19 months. Out of 500 connectors sold, how many does Jolt expect to replace, on average? Place your answer,
rounded to the nearest whole number, in the blank. For example, 123 would be a legitimate answer. 335
Answer Key: 335|345
Question 22 of 25 1.0/ 1.0 Points
Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
A set of final exam scores in an organic chemistry course was found to be normally distributed, with a mean of 73 and a standard deviation of 8.
What is the probability of getting a score of 91 or less on this exam? Place your answer, rounded to 4 decimal places in the blank. For example, 0.3456 would be a legitimate entry. 0.9378
Answer Key: .9378|1.0000
Question 23 of 25 1.0/ 1.0 Points
Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
A Wendy’s fast-food restaurant sells hamburgers and chicken sandwiches. On a typical weekday, the demand for hamburgers is normally distributed with a mean of 450 and standard deviation of 80 and the demand for chicken sandwiches is normally distributed with a mean of 120 and standard deviation of 30.
How many chicken sandwiches must the restaurant stock to be 99% sure of not running out on a given day? Place you answer, rounded to the nearest whole number in the blank. For example, 345 would be a legitimate entry. 185
Answer Key: 185|195
Part 9 of 9 - 2.0/ 2.0 Points
Question 24 of 25 1.0/ 1.0 Points
A random variable X is normally distributed with a mean of 175 and a standard deviation of
50. Given that X = 150, its corresponding Z- score is –0.50.
True False
Answer Key: True
Question 25 of 25 1.0/ 1.0 Points
The sampling distribution of the mean will have the same mean as the original population from which the samples were drawn.
True False
Answer Key: True [Show Less]