Question

A stock brokerage has four computers that are used for making trades on the New York Stock Exchange. The probability that a computer fails on any single day is 0.005. Failures occur independently. Any failed computers are repaired after the exchange closes, so each day can be considered an independent trial. (a) What is the probability that all four computers fail on one day

Answer 1

Answer:

625/100,000,000 or 6.25 out of one million

Step-by-step explanation:

(0.005)^4 = .000000000625  =  625/100,000,000

Answer 2

The probability that all four computers fail on one day is =6.3*$10^{-10}$.

What is probability?

It is a branch of mathematics that deals with the occurrence of a random event.

The probability that a computer fails on any single day is 0.005.

Let X denotes no. of computers fail on day

So, n = 4 , p = 0.05, q= 1-0.05=0.995

P (X = x) = $^{n} C_x \;p^{x} \;q^{n-x}$

P (X = 4)

= $^{4} C_4 \;(0.005)^{4} \;(0.995)^{4-4}$

=1* 0.00000000063*1

=0.00000000063

=6.3*$10^{-10}$

Hence, the probability that all four computers fail on one day is

=6.3*$10^{-10}$.

Learn more about probability here:

https://brainly.com/question/15055443

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