The May 26, 2009, USA Today Snapshot “Overcoming identity theft” reported the results from a poll of identity-theft victims. According to the source, Affinion Security Center, 20% of the victims stated that it took “one week to one month” to recover from identity theft. A group of 14 identity-theft victims are randomly selected in your hometown.
a. What is the probability that none of them was able to recover from the theft in one week to one month?
b. What is the probability that exactly 3 were able to recover from the theft in one week to one month?
c. What is the probability that at least 5 were able to recover from the theft in one week to one month?
d. What is the probability that no more than 4 were able to recover from the theft in one week to one month?