Question

If 3% of the electric bulbs manufactured by a company are defective find the probability that in a sample of 100 bulbs exactly 5 bulbs are defective.

Answer 1

Answer:

Before leaving, he wants to test whether his friend Captain Haddock is wise enough. So he

places three boxes A,B,C contain initially 0, 0, 27 balls respectively. He tells that he wants

equality among the boxes, and at every ith move you make, you must transfer exactly i balls

from one box to another. And you cannot transfer balls between A and B. How many minimum steps( If possible) will Captain take to get to equal number of balls in each box?

Step-by-step explanation:

Answer 2

The probability that in a sample of 100 bulbs exactly 5 bulbs are defective is 0.1013 .

Explanation:

Given : The proportion of electric bulbs manufactured by a company are defective : p=0.03

Sample size : n= 100

Let X = number of defective bulbs

Then by binomial distribution formula, the probability that in a sample of 100 bulbs exactly 5 bulbs are defective :-

$P(X=5)=^{n}C_xp^{x}(1-p)^{n-x}$

$=^{100}C_5(0.03)^5(1-0.03)^{100-5}\\\\=\dfrac{100!}{5!95!}(0.03)^5(0.97)^{95}\\\\\approx0.1013$

Hence, the probability that in a sample of 100 bulbs exactly 5 bulbs are defective is 0.1013 .

# Learn more :

In a box containing 100 bulbs, 10 are defective. What is the probability that out of a sample of 5 bulbs, none is defective?

https://brainly.in/question/8278692