Use the following table to answer questions 1 and 2: Light colors Dark colors Vibrant colors Female XXXXXXXXXX Male XXXXXXXXXX 1. Find the probability that a randomly chosen person is male or prefers...

Use the following table to answer questions 1 and 2:
Light colors Dark colors Vibrant colors
Female 20 22 28
Male 10 30 8
1. Find the probability that a randomly chosen person is male or prefers light colors.
a. 68/118
b. 10/118
c. 10/48
d. 48/118
2. Find the probability that a randomly chosen person is male given that he prefers dark colors.
a. 30/48
b. 30/118
c. 30/52
d. 22/118
Let X = number of siblings. Use the following table to answer questions 3 and 4:
x P(x)
0 2/40
1 5/40
2
3 14/40
4 7/40
5 4/40
3. Find the probability that a person has two siblings.
a. 8/40
b. 8
c. 2
d. 6/40
4. Find the expected number of siblings a person has.
a. 2.78
b. 15
c. 3.13
d. 1.0
Use the following table to answer question 5:
Running Time School Average Running Time School Standard Deviation
Kia 4.9 5.2 0.15
Alejandra 4.2 4.6 0.25
Iris 4.5 4.9 0.12
5. Which person is the fastest runner relative to her school?
a. Alejandra
b. Kia
c. Tie between Alejandra and Kia
d. Iris
6. Suppose that the lifespan of a laptop battery is normally distributed with a mean of 2500 hours
and a standard deviation of 60 hours. What is the probability that a randomly chosen battery
will last at most 2560 hours?
a. 0.1587
b. 0.8413
c. 0.6539
d. 0.3461
7. A random sample of 123 college professors were surveyed to determine the proportion who
owned a pet. 86 reported owning pets. Construct a 98% confidence interval for the true
population proportion of college professors who own a pet.
a. (0.6181, 0.7802)
b. (0.6030, 0.7954)
c. (0.6312, 0.7672)
d. (0.5927, 0.8057)
8. The population proportion of college professors who own a pet is an example of a:
a. parameter.
b. statistic.
c. variable.
d. population.
9. A sorority only accepts sisters who have a GPA in the top one percent of students. Suppose that
GPA at their university is normally distributed with a mean of 2.5 and a standard deviation of
0.5. What is the minimum GPA necessary to become a sister in the sorority?
a. 1.34
b. 3.99
c. 3.66
d. 3.00