The fielding percentage for a major league baseball team is a measure of how well defensive players handle a batted ball (without error) and is based on total chances (putouts 1 assists 1 errors). One quarter into the 2013 baseball season, the Boston Red Sox fielding percentage was 0.984.24 Suppose 150 chances are randomly selected.
a. Find the distribution of the sample proportion of chances handled without error.
b. Find the probability that the sample proportion is less than 0.97.
c. Find a value f such that P(P = # f ) 5 0.05.
d. If the team fielding percentage for these random chances is greater than 0.99, then everyone on the team receives a bonus. What is the probability of a team bonus?
Many Americans own a DVR or subscribe to a special TV recording service. For example, the Hopper from DISH network allows users to record up to six HD programs at once. Despite this increased recording flexibility, Motorola Mobility recently announced that for U.S. TV viewers, 41% of the recorded content on DVRs is never watched.25 Suppose 425 programs recorded on DVRs in the United States are randomly selected.
a. Find the probability that the sample proportion of programs never watched is less than 0.37.
b. Find the probability that the sample proportion is between 0.42 and 0.43.
c. Find a value w such that P(P = $ w) 5 0.01