Compute P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If so, approximate P(X) using the normal distribution and compare the result with the exact probability. n=40, p=0.3, and X=15 P(X)=nothing (Round to four decimal places as needed.) Can the normal distribution be used to approximate this probability? A. No, the normal distribution cannot be used because np(1−p)<10. B. No, the normal distribution cannot be used because np(1−p)≥10. C. Yes, the normal distribution can be used because np(1−p)<10. D. Yes, the normal distribution can be used because np(1−p)≥10. Approximate P(X) using the normal distribution. Use a standard normal distribution table. Select the correct choice below and fill in any answer boxes in your choice. A. P(X)=nothing (Round to four decimal places as needed.) B. There is no solution. By how much do the exact and approximated probabilities differ? Select the correct choice below and fill in any answer boxes in your choice. A. nothing (Round to four decimal places as needed.) B. There is no solution.

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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Compute P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If so, approximate P(X) using the normal distribution and compare the result with the exact probability.

n=40,

p=0.3,

and

X=15

P(X)=nothing

(Round to four decimal places as needed.)

Can the normal distribution be used to approximate this probability?

No, the normal distribution cannot be used because

np(1−p)<10.

No, the normal distribution cannot be used because

np(1−p)≥10.

Yes, the normal distribution can be used because

np(1−p)<10.

Yes, the normal distribution can be used because

np(1−p)≥10.

Approximate P(X) using the normal distribution. Use a standard normal distribution table. Select the correct choice below and fill in any answer boxes in your choice.

P(X)=nothing

(Round to four decimal places as needed.)

There is no solution.

By how much do the exact and approximated probabilities differ? Select the correct choice below and fill in any answer boxes in your choice.

nothing

(Round to four decimal places as needed.)

There is no solution.

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