Elementary Statistics
12th Edition
ISBN: 9780321837936
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 5, Problem 2CRE
Ohio Pick 4 In Ohio’s Pick 4 game, you pay $1 to select a sequence of four digits, such as 7709. If you buy only one ticket and win, your prize is $5000 and your net gain is $4999.
- a. If you buy one ticket, what is the
probability of winning? - b. Construct a table describing the probability distribution corresponding to the purchase of one Pick 4 ticket.
- c. If you play this game once every day, find the mean number of wins in years with exactly 365 days.
- d. If you play this game once every day, find the probability of winning exactly once in 365 days.
- e. Find the
expected value for the purchase of one ticket.
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One estimate of the proportion of children with autism in the United States is 1 in 100 (Source: http://www.cbsnews.com/stories/2009/10/05/health/main5363192.shtml). Suppose you are interested in the rate of autism among current school-aged children in Utah. You collect a sample of 400 children between the ages of 5 and 18 and find that three have had a previous diagnosis of an autism disorder. You plan to calculate a 95% confidence interval estimator of the proportion of school-aged children in Utah who have ever had a diagnosis of an autism disorder.
Which of the following is the most likely reason you would use a Wilson estimator to calculate the confidence interval estimator?
It is uncomfortable to define having been diagnosed with autism as a success.
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Chapter 5 Solutions
Elementary Statistics
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