Answered: baseball player’s batting average is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

A baseball player’s batting average is 0.320 (32%). This player batted 100 times.

4. Evaluate np and n(1 – p). Is it appropriate to use the normal distribution to approximate the binomial distribution? (Round to two decimal places)

np =_____

n(1 – p) =_______

_______=Enter Y or N

If your answer to part (d) above is “yes” answer the following questions. Use your rounded answers for standard deviation to calculate z-scores

5. What is the mean and standard deviation of the approximating normal distribution? (Round to two decimal places)

µ = ______

σ = _______

6. Find the probability that the player will get at most 26 hits.=_____ (Round to four decimal places)

7. Find the probability that the player will get exactly 26 hits=_____ (Round to four decimal places)

8. Find the probability that the player will get at least 26 hits=_____ (Round to four decimal places)

9. Find the probability that the player will get less than 26 hits=_____ (Round to four decimal places)

10. Find the probability that the player will get more than 26 hits=_____ (Round to four decimal places)

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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