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Suppose a large bin of fruit contains 92% tangerines. From the bin, you select 94 fruit at random. Using the normal approximation to the binomial distribution, estimate the probability that you select fewer than 84 tangerines. O 0.0087 0.1736 0.6597 0.9714

Suppose a large bin of fruit contains 92% tangerines. From the bin, you select 94 fruit at random. Using the normal approximation to the binomial distribution, estimate the probability that you select fewer than 84 tangerines. O 0.0087 0.1736 0.6597 0.9714

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Suppose a large bin of fruit contains 92% tangerines. From the bin, you select 94 fruit at random. Using the normal approximation to the binomial distribution, estimate the probability that you select fewer than 84 tangerines. 0.0087 0.1736 0.6597 0.9714
Transcribed Image Text:Suppose a large bin of fruit contains 92% tangerines. From the bin, you select 94 fruit at random. Using the normal approximation to the binomial distribution, estimate the probability that you select fewer than 84 tangerines. 0.0087 0.1736 0.6597 0.9714
Expert Solution
Step 1: Information given is

Probability that a large bin of fruit contains tangerines(p)=0.92

sample size(n)=94

Let "x" be the no. tangerines will select

x~Binomial(n=94,p=0.92)

P(X=x)=open parentheses table row straight n row straight x end table close parentheses cross times straight p to the power of straight x cross times left parenthesis 1 minus straight p right parenthesis to the power of straight n minus straight x end exponent space space space space space space semicolon space straight x equals 0 comma 1 comma... straight n


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