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
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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
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
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
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