T is known that 50% of adult workers have a high school diploma. If a random sample of 5 adult workers is selected, what is the probability that more than 3 of them have a high school diploma?

18.75% probability that more than 3 of them have a high school diploma

Step-by-step explanation:

For each adult worker, there are only two possible outcomes. Either they have a high school diploma, or they do not. The adults are chosen at random, which means that the probability of an adult having a high school diploma is independent from other adults. 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.

It is known that 50% of adult workers have a high school diploma.

This means that

If a random sample of 5 adult workers is selected, what is the probability that more than 3 of them have a high school diploma?

This is P(X > 3) when

So

In which

18.75% probability that more than 3 of them have a high school diploma

The probability that high school diploma is possessed by more than 3 is 0.1875.

Step-by-step explanation:

It is given that 50% of adult workers have a high school diploma.

Therefore we can write p = 0.5.

We are given to find that if a random sample of 5 adult workers is selected what is the probability that more than 3 of them have a high school diploma.

Therefore we can say that the sample size, n = 8.

This is a problem that will be solved using Binomial Theorem.

We have to find p(X > 3) which can be written as

  p(X > 3) = p(X = 4) + P(X = 5)

=  

= (6)()

= 0.1875

The probability that high school diploma is possessed by more than 3 is 0.1875.

4

step-by-step explanation:

depends on how many days you are talking about

step-by-step explanation: