Question: The participants in a television quiz show are picked from a large pool of applicants with approximately 60% men and 40% women. X is a random variable that gives the number of females chosen when ten participants are picked randomly.
a) What is the mean of the random variable X? Show the formula and your substitution.
b) What is the standard deviation of the random variable X? Show the formula and your substitution.
c) What is the probability of getting 2 or fewer women when 10 people are picked?