Question

In a manufacturing plant that produces new computers, a 0.15 probability exists that a computer will be defective. if five computers are manufactured, what's the probability that all of them will be defective?

Answer 1

we need to find the probability of bad sound cards.

we are having 1000 computers so 1000 sound card will be there.

manager found that 4 sounds are defective out of 1000 sound cards.

of defective sound cards=

we know that 1 is the total probability.out of 0.004 is the failure.

Explanation:

Answer 2

The probability that all of them will be defective is 0.0000759375

Explanation

The general Binomial Probability formula is....

`P= ^nC_(r)*p^r*(1-p)^n^-^r`, where p is the probability of success, n is the total number of trials and r is the desired numbers of trials.

Given, the probability that a computer will be defective is 0.15 , so p = 0.15

Five computers are manufactured and we need to find the probability that all of them will be defective. That means, n = 5 and r = 5

Now according to the above formula....

`P= ^5C_(5)*(0.15)^5*(1-0.15)^5^-^5 \\ \\ P= 1*(0.15)^5* (0.85)^0\\ \\ P=(0.15)^5 =0.0000759375`

So, the probability that all of them will be defective is 0.0000759375