The literacy rate for a nation measures the proportion of people age 1515 and over who can read and write. The literacy rate for women in Afghanistan is 15%. Let X= the number of Afghani women you ask until one says that she is literate.

(a) What is the probability distribution of X?

(b) What is the probability that you ask six women before one says she is literate?

(c) What is the probability that you must ask less than 44 women?

(d) Find the mean, variance and standard deviation of X.