Women’s Health Magazine surveyed 1187 readers to find out how often people wash their sheets (womenshealthmag.com/health/dirty-sheets, March 26, 2015, retrieved May 2, 2017). They found that even though microbiologists recommend that you wash your sheets at least once a week, only 44% said that they wash their sheets that often. Suppose this group is representative of adult Americans and define the random variable x to be the number of adult Americans you would have to ask  efore you found someone that washes his or her sheets at least once a week.

a. Is the probability distribution of x binomial or geometric? Explain.

b. What is the probability that you would have to ask three people before finding one who washes sheets at least once a week?

c. What is the probability that fewer than four people would have to be asked before finding one who washes sheets at least once a week?

d. What is the probability that more than three people would have to be asked before finding one who washes sheets at least once a week?