Research has shown that approximately 1 woman in 700 carries a mutation of a particular gene. About 66​% of women with this mutation develop skin cancer. Find the probability that a randomly selected woman will carry the mutation of this gene and will develop skin cancer.

According to the Turkish Ministry of Health, the probability of a woman developing breast cancer over a lifetime period is 1/5. What is the probability that 3 women out of 15 will develop breast cancer over a lifetime?

A survey showed that 76​% of adults need correction​ (eyeglasses, contacts,​ surgery, etc.) for their eyesight. If 14 adults are randomly​ selected, find the probability that at least 13 of them need correction for their eyesight. Is 13 a significantly high number of adults requiring eyesight​ correction?

Researchers have determined that children under 2 years old who sleep with the lights on have a 36% chance of becoming myopic (bad eyesight) before they are 16 years old. Children who sleep in darkness have a 21% chance of becoming myopic. A survey indicates that 28% of children under 2 years old sleep with some light on. Find the probability that a child under 16 years old is myopic.

Sixty percent of clowns aren’t funny.   If you randomly encounter three different clowns, what is the probability that none of them are funny?

A survey showed that 71​% of adults need correction​ (eyeglasses, contacts,​ surgery, etc.) for their eyesight. If 8 adults are randomly​ selected, find the probability that at least 7 of them need correction for their eyesight. Is 7 a significantly high number of adults requiring eyesight​ correction?

Suppose that 40% of Tulane undergraduates intend to continue on to graduate school after completing their undergraduate degrees. Suppose we randomly select 20 Tulane undergraduates. Find the probability that at least 11 of the students in the sample intend to continue on to graduate school.

Suppose that 20% of fruit flies possess a certain gene.  If we randomly select 20 fruit flies, find the probability that at least 5 flies in the sample possess the gene.  You may assume sampling with replacement.

Based on observation 85% of the population of adult males wash their hands in a public restroom. In a survey of 523 adult males, 518 reported they washed their hands when using a public restroom. Find the probability that among 523 randomly selected adult males 518 or more wash their hands in a public. restroom. Does it appear that all the people who claimed they washed their hands were telling the truth?

Suppose that 40% of Tulane undergraduates intend to continue on to graduate school after completing their undergraduate degrees. Suppose we randomly select 20 Tulane undergraduates. Find the probability that at least 10 of the students in the sample intend to continue on to graduate school.