**Question:** A high school baseball player has a 0.22 batting average. In one game, he gets 8 at bats. What is the probability he will get at least 4 hits in the game?**Explanation:** To solve this problem, we'll use the binomial probability formula. We need to calculate the probability of getting at least 4 hits out of 8 at-bats with a success probability of 0.22 for each at-bat.**Binomial Probability Formula:** \[ P(X = k) = \binom{n}{k} p^k (1-p)^{n-k} \] Where: - \( n \) = number of trials (8 in this case) - \( k \) = number of successful outcomes - \( p \) = probability of success on a single trial (0.22 here) - \( \binom{n}{k} \) = combination of n items taken k at a time Calculate for \( P(X \geq 4) \): - This involves summing the probabilities for 4, 5, 6, 7, and 8 hits. \[ P(X \geq 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) \]This calculation requires using the binomial formula for each value of \( k \) from 4 to 8 and summing the results.This is typically solved using a statistical calculator or software for accuracy.

Answered: A high school baseball player has a…

A high school baseball player has a 0.22 batting average. In one game, he gets 8 at bats. What is the probability he will get at least 4 hits in the game?

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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