Q1. If n = 10 and p = 0.70, then calculate the mean, standard deviation and variance of the binomial distribution.
Q2. Suppose that the probability of parents having a child with blond hair is 1/4. If there are 6 children in the family, find the probability that half of them will have blond hair.
Q3. A quality inspector picks a sample of 10 tubes at random from a very large shipment of tubes known to contain 20% defective tubes. Find the probability that only 2 of the tubes picked are defective.
Q4. A service facility has an average arrival of five customers per hour. Calculate the probability that exactly two customers will arrive at the service facility per hour.