Question

a. Find the probability that none of the selected adults say that they were too young to get tattoos. (Round to four decimal places as needed.) b. Find the probability that exactly one of the selected adults says that he or she was too young to get tattoos. (Round to four decimal places as needed.) c. Find the probability that the number of selected adults saying they were too young is 0 or 1 . (Round to four decimal places as needed.) d. If we randomly select eight adults, is 1 a significantly low number who say that they were too young to get tattoos? because the probability that of the selected adults say that they were too young is 0.05

Answer 1

a. The probability that none of the selected adults say they were too young is 0.6634. b. The probability that exactly one of the selected adults says they were too young is 0.3351. c. The probability that the number of selected adults saying they were too young is 0 or 1 is 0.9985.

Step-by-step explanation:

a. To find the probability that none of the selected adults say they were too young to get tattoos, we need to find the complement of the probability that at least one of them says they were too young.

Let's assume the probability that an adult says they were too young is 0.05.

Since each adult is independent, the probability that none of them say they were too young is (1 - 0.05) to the power of the number of selected adults. In this case, that would be (1 - 0.05)^8.

So, the probability that none of the selected adults say they were too young is 0.6634 (rounded to four decimal places).

b. To find the probability that exactly one of the selected adults says they were too young, we need to calculate the probability of selecting one adult who says they were too young and the remaining adults who don't.

The probability of one adult saying they were too young is 0.05, and the probability of the others not saying it is (1 - 0.05). Since there are 8 adults, we need to multiply this probability by the number of ways we can choose one adult from the group of 8.

This can be expressed as 8C1 * (0.05)^1 * (1 - 0.05)^(8-1). Simplifying it, we get 8 * 0.05 * (1 - 0.05)^7.

So, the probability that exactly one of the selected adults says they were too young is 0.3351 (rounded to four decimal places).

c. The probability that the number of selected adults saying they were too young is 0 or 1 can be calculated by summing the probabilities from parts a and b.

So, the probability is 0.6634 + 0.3351 = 0.9985 (rounded to four decimal places).

d. To determine if 1 is a significantly low number who say they were too young out of 8 selected adults, we can compare the probability of exactly 1 saying they were too young to a significance level of 0.05. From part b, we calculated the probability to be 0.3351.

Since this probability is greater than 0.05, we can conclude that 1 is not a significantly low number.