Q1. Consider an experiment that results in a positive outcome with probability 0.38 and a negative outcome with probability 0.62. Create a new experiment consisting of repeating the original experiment 3 times.
Assume each repetition is independent of the others. What is the probability of three successes?
A. 0.055
B. 0.238
C. 0.762
D. 1.14
Q2. Which of the following is correct concerning the Poisson distribution?
A. The mean is usually smaller than the variance.
B. Each event being studied must be statistically dependent on the previous event.
C. The mean is usually larger than the variance.
D. The event being studied is restricted to a given span of time, space, or distance.
Q3. The Burger Bin fast-food restaurant sells a mean of 24 burgers an hour and its burger sales are normallydistributed. If hourly sales fall between 24 and 42 burgers 49.85% of the time, the standard deviation is_______ burgers.
A. 6
B. 3
C. 18
D. 9
Q4. A credit card company decides to study the frequency with which its cardholders charge for items froma certain chain of retail stores. The data values collected in the study appear to be normally distributed witha mean of 25 charged purchases and a standard deviation of 2 charged purchases. Out of the total numberof cardholders, about how many would you expect are charging 27 or more purchases in this study?
A. 47.8%
B. 94.8%
C. 68.3%
D. 15.9%
Q5. If the mean number of hours of television watched by teenagers per week is 12 with a standard deviation of 2 hours, what proportion of teenagers watch 16 to 18 hours of TV a week? (Assume a normal distribution.)
A. 0.3%
B. 2.1%
C. 4.5%
D. 4.2%