Question

A study determined that 8% of children under 18 years old lived with their father only. Find the probability that none of the children selected at random from 11 children under 18 years old lived with her father only The probability that none of the children lived with their father only (Do not round until the final w ww. Then found to the nearest thousandth as needed.)

Answer 1

To find the probability that none of the children selected at random from 11 children under 18 years old lived with their father only, use the complement rule. Multiply the individual probabilities together.

Step-by-step explanation:

To find the probability that none of the children selected at random from 11 children under 18 years old lived with their father only, we can use the complement rule. The complement rule states that the probability of an event not occurring is equal to 1 minus the probability of the event occurring.

Given that 8% of children under 18 years old live with their father only, the probability of a child not living with their father only is 1 - 8% = 92%. Since we want to find the probability that none of the 11 children live with their father only, we can multiply the individual probabilities together: (92%)^11.

The probability that none of the children live with their father only is approximately 67.737%, rounded to the nearest thousandth.