# Question

The table shows the probability distribution of the number of bases for a randomly selected time at bat for a San Francisco Giants player in 2010 (excluding times when the player got on base because of a walk or being hit by a pitch). In 74.29% of the at-bats the player was out, 17.04% of the time the player got a single (one base), 5.17% of the time the player got a double (two bases), 0.55% of the time the player got a triple, and 2.95% of the time the player got a home run.

a. Verify that the probabilities give a legitimate probability distribution.

b. Find the mean of this probability distribution.

c. Interpret the mean, explaining why it does not have to be a whole number, even though each possible value for the number of bases is a whole number.

San Francisco Giants Hitting

Number of Bases Probability

0................ 0.7429

1................ 0.1704

2................ 0.0517

3................ 0.0055

4................ 0.0295

a. Verify that the probabilities give a legitimate probability distribution.

b. Find the mean of this probability distribution.

c. Interpret the mean, explaining why it does not have to be a whole number, even though each possible value for the number of bases is a whole number.

San Francisco Giants Hitting

Number of Bases Probability

0................ 0.7429

1................ 0.1704

2................ 0.0517

3................ 0.0055

4................ 0.0295

## Answer to relevant Questions

A new roller coaster at an amusement park requires individuals to be at least 4' 8" (56 inches) tall to ride. It is estimated that the heights of 10-year-old boys are normally distributed with μ = 54.5 inches and σ = 4.5 ...Construct a graph similar to that in Figure 6.1 for each of the following binomial distributions: a. n = 4 and p = 0.50. b. n = 4 and p = 0.30. c. n = 4 and p = 0.10. d. Which if any of the graphs in parts a–c are ...A balanced die with six sides is rolled 60 times. a. For the binomial distribution of X = number of 6s, what is n and what is p? b. Find the mean and the standard deviation of the distribution of X. Interpret. c. If you ...Let X represents the number of homes a real estate agent sells during a given month. Based on previous sales records, she estimates that P(0) = 0.68, P(1) = 0.19, P(2) = 0.09, P(3) = 0.03, P(4) = 0.01, with negligible ...Female heights in North America follow a normal distribution with μ = 65 inches and σ = 3.5 inches. Find the proportion of females who are a. Under five feet. b. Over six feet. c. Between 60 and 70 inches. d. Repeat parts ...Post your question

0