It is known that 10% of the calculators shipped from a particular factory are defective. What is the probability that at least one in a random sample of four calculators is defective? **Homework Question 5 for Exam 2 Review****Question 5:**It is known that 10% of the calculators shipped from a particular factory are defective. What is the probability that at least one in a random sample of four calculators is defective?**Multiple Choice Options:**- (A) 0.0010- (B) 0.2916- (C) 0.3439- (D) 0.6561**Navigation:**- Prev (Previous question): Question 4 of 90- Next (Next question): Question 6 of 90**Additional Resources:**- eBook- Print- ReferencesNote: This homework question is provided by McGraw Hill Education.**Explanation:**To solve this problem, use the complement rule of probability. Calculate the probability that none of the calculators are defective and subtract it from 1 to find the probability that at least one is defective.Let \( p = 0.10 \) be the probability that a calculator is defective. The probability that a calculator is not defective is \( 1 - p = 0.90 \).For four calculators, the probability that none are defective is \( 0.90^4 \).Therefore, the probability that at least one is defective is \( 1 - 0.90^4 \).

p= 10% = 0.10 q = 1- p = 1- 0.10 = 0.90 N= 4 P(x≥1)=? P(X=x) NCx *px* q(n- x)P(x≥1) = 1- P(x=0) = 1 - [4C0 * (0.10)⁰ * (0.90)⁴ ] = 1 - [1*1*0.6561] = 0.3439 Answer : 3rd option is correct : P(at least 1) = 0.3439

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It is known that 10% of the calculators shipped from a particular factory are defective. What is the probability that at least one in a random sample of four calculators is defective?

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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