QUESTION 17
MC1703: A test consists of 10 multiple choice questions, each with four possible answers, one of which is correct. To pass, a student must get at least 5 correct on the test. If a student randomly guesses at every question, what is the probability that the student fails the test?
a. 
1.6% 

b. 
5.8% 

c. 
75% 

d. 
92.2% 

e. 
98.0% 

f. 
None of these 
1 points
QUESTION 18
MC1802: Each child born to a particular set of parents has probability 0.25 of having blood type O. If these parents have 5 children, what is the probability that at most 2 of them have type O blood?
a. 
10.4% 

b. 
26.4% 

c. 
36.7% 

d. 
63.3% 

e. 
65.9% 

f. 
89.6% 
1 points
QUESTION 19
MC1901: Corinne is a basketball player who makes 75% of her free throws over the course of a season. If she shoots 12 free throws in a game, what is the probability that she makes less than 7 of them?
a. 
5.4% 

b. 
10.3% 

c. 
15.8% 

d. 
84.2% 

e. 
89.7% 

f. 
94.6% 
1 points
QUESTION 20
MC2005: You operate a restaurant. You read that a sample survey by the National Restaurant Association shows that 40% of adults are committed to eating nutritious food when eating out. 12 adult customers come to the restauarant. What is the probability that at least 5 of them are committed to eating nutritious food? Assume that the conditions for the binomial distribution are met.
a. 
22.7% 

b. 
33.5% 

c. 
43.8% 

d. 
56.2% 

e. 
66.5% 

f. 
77.3% 
1 points
QUESTION 21
MC2102: What is true about the normal distribution?
I: It is a discrete distribution
II: It is a continuous distribution
III: It may be symmetric or skewed.
a. 
I only 

b. 
II only 

c. 
III only 

d. 
I and II only 

e. 
I and III only 

f. 
II and III only 

g. 
I, II, and III 

h. 
None of these 
1 points
QUESTION 22
MC2204: Which of the following are true about zscores?
I: They are positive whenever X is less than the mean in a normal distribution.
II: The standard normal distribution, which is the distribution of all zscores, has a mean of 0 and standard deviation of 1.
III: They can be found by taking X, dividing by the standard deviation, and then subtracting the mean from the result.
a. 
I only 

b. 
II only 

c. 
III only 

d. 
I and II only 

e. 
I and III only 

f. 
II and III only 

g. 
I, II, and III 

h. 
None of these 
QUESTION 17
Sol: option d.
92.2%
Binomial Problem with n = 10 and p = 1/4 = 0.25

5 correct on the test

Solve using a TI84 calculator:
P(X >= 5) = P(5<= x <=10) = P(X = 5, 6, 7, 8, 9, 10)
= P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X =
10)
= 0.0584+ 0.0162+ 0.0031+ 0.0004+ 0+ 0
= 0.0781 or 92.2 %

QUESTION 18
Sol:
f. 89.6%
Binomial Problem with n = 5 and p = 0.25
P(X<= 2) = 1P(X = 2)
= 0.8964 or 89.6%
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