G The probability that a machine breaks down in any day is 0.20 and is independent of the breakdown on any other day. The machine can break down only once per day. Calculate the probability that the machine breaks down two or more times in ten days.

62.42% probability that the machine breaks down two or more times in ten days.

Step-by-step explanation:

For each day, there are only two possible outcomes. Either the machine breaks, or it does not break. The probability of the machine breaking in a day is independent from other days. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

The probability that a machine breaks down in any day is 0.20

This means that

Calculate the probability that the machine breaks down two or more times in ten days.

This is when n = 10.

We know that either the machine breaks in less than two days, or it breaks in at least two days. The sum of the probabilities of these events is decimal 1. So

In which

62.42% probability that the machine breaks down two or more times in ten days.

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.

13cm

step-by-step explanation:

(apex)