In: Statistics and Probability
In one city, the probability that a person will pass his or her driving test on the first attempt is 0.7. Assume that 10 people are selected at random from among those taking their driving test for the first time.
(a) [5 points] What are the values of n, p, and q in this problem?
(b) [30 points] What is the probability that at least 8 of the 10 selected people pass the test?
(c) [10 points] Determine the mean and variance of the binomial random variable corresponding to this problem.