MATH 302 TEST 2026-2027 WITH CORRECT ANSWERS
Find P(Z ≤ 2.76). Round answer to 4 decimal places. Answer:
.9971
Arm span is the physical measurement of the length of an individual's arms from fingertip to
fingertip. A man's arm span is approximately normally distributed with mean of 68 inches
with a standard deviation of 3.7 inches. Find length in inches of the 97th percentile for a
man's arm span. Round answer to 2 decimal places. Answer:
74.96
Find P(1.47 ≤ Z ≤ 2.11). Round answer to 4 decimal places. Answer:
.0534
Which type of distribution does the graph illustrate?
Poisson Distribution
Right skewed Distribution
Uniform Distribution
Normal Distribution
Question 1/1
5 point
The cost of unleaded gasoline in the Bay Area once followed a normal distribution with a
mean of $4.74 and a standard deviation of $0.16. Fifteen gas stations from the Bay area are
, MATH 302 TEST 2026-2027 WITH CORRECT ANSWERS
randomly chosen. We are interested in the average cost of gasoline for the 15 gas stations.
What is the approximate probability that the average price for 15 gas stations is over $4.99?
0.1587
0.0943
.0256
0.0000
The caller times at a customer service center has an exponential distribution with an average
of 22 seconds. Find the probability that a randomly selected call time will be less than 30
seconds? (Round to 4 decimal places.) Answer:
.7443
Suppose that the longevity of a light bulb is exponential with a mean lifetime of 7.6 years.
85% of all light bulbs last at least how long?
15.67
14.42
9.6318
10.678
11.34
The life of an electric component has an exponential distribution with a mean of 7.2 years.
What is the probability that a randomly selected one such component has a life less than 4
years? Answer: (round to 4 decimal places)
.4262
Find P(Z ≤ 2.76). Round answer to 4 decimal places. Answer:
.9971
Arm span is the physical measurement of the length of an individual's arms from fingertip to
fingertip. A man's arm span is approximately normally distributed with mean of 68 inches
with a standard deviation of 3.7 inches. Find length in inches of the 97th percentile for a
man's arm span. Round answer to 2 decimal places. Answer:
74.96
Find P(1.47 ≤ Z ≤ 2.11). Round answer to 4 decimal places. Answer:
.0534
Which type of distribution does the graph illustrate?
Poisson Distribution
Right skewed Distribution
Uniform Distribution
Normal Distribution
Question 1/1
5 point
The cost of unleaded gasoline in the Bay Area once followed a normal distribution with a
mean of $4.74 and a standard deviation of $0.16. Fifteen gas stations from the Bay area are
, MATH 302 TEST 2026-2027 WITH CORRECT ANSWERS
randomly chosen. We are interested in the average cost of gasoline for the 15 gas stations.
What is the approximate probability that the average price for 15 gas stations is over $4.99?
0.1587
0.0943
.0256
0.0000
The caller times at a customer service center has an exponential distribution with an average
of 22 seconds. Find the probability that a randomly selected call time will be less than 30
seconds? (Round to 4 decimal places.) Answer:
.7443
Suppose that the longevity of a light bulb is exponential with a mean lifetime of 7.6 years.
85% of all light bulbs last at least how long?
15.67
14.42
9.6318
10.678
11.34
The life of an electric component has an exponential distribution with a mean of 7.2 years.
What is the probability that a randomly selected one such component has a life less than 4
years? Answer: (round to 4 decimal places)
.4262
