If np 25 and nq 2 5, estimate P(fewer than 3) with n= 13 and p = 0.4 by using the normal distribution as an approximation to the binomial distribution; if np < 5 or nq < 5, then state that the normal approximation is not suitable. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. P(fewer than 3) = | (Round to four decimal places as needed.) O B. The normal approximation is not suitable.
If np 25 and nq 2 5, estimate P(fewer than 3) with n= 13 and p = 0.4 by using the normal distribution as an approximation to the binomial distribution; if np < 5 or nq < 5, then state that the normal approximation is not suitable. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. P(fewer than 3) = | (Round to four decimal places as needed.) O B. The normal approximation is not suitable.
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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![### Using Normal Distribution as an Approximation to the Binomial Distribution
**Task:**
If \( np \geq 5 \) and \( nq \geq 5 \), estimate \( P(\text{fewer than 3}) \) with \( n = 13 \) and \( p = 0.4 \) by using the normal distribution as an approximation to the binomial distribution. If \( np < 5 \) or \( nq < 5 \), then state that the normal approximation is not suitable.
**Instructions:**
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
**Options:**
- **A.** \( P(\text{fewer than 3}) = \) ______
(Round to four decimal places as needed.)
- **B.** The normal approximation is not suitable.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff155f08f-104b-4fb6-bd8e-f073462ae35a%2Fc902d674-21f3-4eef-8055-a60a503a509c%2Fmrbdjg.png&w=3840&q=75)
Transcribed Image Text:### Using Normal Distribution as an Approximation to the Binomial Distribution
**Task:**
If \( np \geq 5 \) and \( nq \geq 5 \), estimate \( P(\text{fewer than 3}) \) with \( n = 13 \) and \( p = 0.4 \) by using the normal distribution as an approximation to the binomial distribution. If \( np < 5 \) or \( nq < 5 \), then state that the normal approximation is not suitable.
**Instructions:**
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
**Options:**
- **A.** \( P(\text{fewer than 3}) = \) ______
(Round to four decimal places as needed.)
- **B.** The normal approximation is not suitable.
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