Answered: Kelly’s batting average is .30 (they…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

Kelly’s batting average is .30 (they hit 3 out of every 10 pitches). Let’s assume there are 120 pitches thrown in the first 8 games.

A) True or False. This is a normal binomial distribution.

B) What is the standard deviation of hits you expect for Kelly to have by the end of the first 8 games?

C) What is the likelihood of them hitting at least 40 pitches by the end of the first 8 games? The answer is in percentage(%).

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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