**Title: Using Binomial and Normal Distributions for Probability Calculations****Problem Statement:**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.Given:- \( n = 60 \)- \( p = 0.2 \)- \( X = 25 \)**Question 1: Can the normal distribution be used to approximate the probability?**- **A.** Yes, the normal distribution can 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 \( np(1-p) \geq 10 \).- **D.** No, the normal distribution cannot be used because \( np(1-p) \geq 10 \).*Correct Answer:*- **B.** No, the normal distribution cannot be used because \( np(1-p) < 10 \).**Question 2: 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) = [ ] (Round to four decimal places as needed.)- **B.** There is no solution.*Correct Answer:*- **B.** There is no solution.**Question 3: 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.** [ ] (Round to four decimal places as needed.)- **B.** There is no solution.*Correct Answer:*- **B.** There is no solution.

Answered: Compute P(X) using the binomial…

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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