Concept explainers
Baseball A baseball fan examined the record of a favorite baseball player’s performance during his last season. The numbers of games in which the player had zero, one, two, three, and four hits are recorded in the table shown below.
Number of hits | 0 | 1 | 2 | 3 | 4 |
Frequency | 31 | 58 | 45 | 19 | 5 |
(a) Complete the table below, where x is the number of hits.
x | 0 | 1 | 2 | 3 | 4 |
P(x) |
(b) Use the table in part (a) to sketch the graph of the probability distribution.
(c) Use the table in part (a) to find
(d) Determine the mean and interpret the result in the context of the problem.
(e) Determine the variance and standard deviation.
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Chapter 9 Solutions
Calculus: An Applied Approach (MindTap Course List)
- Running In 1987, Canadian Ben Johnson set a world record in the 100-m sprint.The record was later taken away when he was found to have used an anabolic steroid to enhance his performance. His speed at various times in the race is given in the following table . Source: Information Graphics. Timesec Speedmph 0 0 1.84 12.9 3.80 23.8 6.38 26.3 7.23 26.3 8.96 26.0 9.83 25.7 a. Use the information in the table and left endpoints to estimate the distance that Johnson ran in miles. You will first need to calculate t for each interval. At the end, you will need to divide by 3600 the number of seconds in an hour, since the speed is in miles per hour. b. Repeat part a, using right endpoints. c. Wait a minute, we know that the distance Johnson ran is 100m. Divide this by 1609, the number of meters in a mile, to find how far Johnson ran in miles. Is your answer from part a or part b closer to the true answer? Briefly explain why you think this answer should be more accurate. d.arrow_forwardOTHER APPLICATIONS Car Accidents The tables in the next columns give the death rates, per million person trips, for male and female drivers for various ages and number of passengers. Male Drivers Number of Passengers Age 0 1 2 3 16 2.61 4.39 6.29 9.08 17 1.63 2.77 4.61 6.92 30-59 0.92 0.75 0.62 0.54 Female Drivers Number of Passengers Age 0 1 2 3 16 1.38 1.72 1.94 3.31 17 1.26 1.48 2.82 2.28 30-59 0.41 0.33 0.27 0.40 a. Write a matrix for death rate of male drivers. b. Write a matrix for death rate of female drivers. c. Use the matrices from parts a and b to write a matrix showing the difference between the death rates of males and females. d. Analyze the results of part c and make some suggestions on how to reduce the rates.arrow_forwardSeating Capacity Determine the seating capacity of an auditorium with 36 rows of seats when there are 15 seats in the first row, 18 seats in the second row, 21 seats in the third row, and so on.arrow_forward
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