It a recent study of college students indicated that 30% of all college students had at least one tattoo. A small private college decided to randomly and independently sample 15 of their students andask if they have a tattoo. Find the probability that exactly 5 of the students reported that they didhave at least one tattoo.

20.61% probability that exactly 5 of the students reported that they did have at least one tattoo.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they have at least one tattoo, or they do not. The probability of a student having at least one tattoo is independent of other students. So we use the binomial probability distibution 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.

30% of all college students had at least one tattoo

This means that

Sample of 15 students

This means that

Find the probability that exactly 5 of the students reported that they didhave at least one tattoo.

This is P(X = 5).

20.61% probability that exactly 5 of the students reported that they did have at least one tattoo.

the figures below are made out of circles, semicircles, quarter … find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations). remember that we'll also have to cut whatever areas we get in half, since we're only dealing im pretty sure that is the right answer

step-by-step explanation: