6.) Consider the following binomial experiment. Suppose that 81% of mice that consumed a certain poison will die from it. If 1,700 mice consume the poison, what is the standard deviation of the number of mice that will die from it.
7.) Let Z be a standard normal variable. Find P(Z > 0.45).
8.) Let Z be a standard normal variable. Find the value of z if z satisfies P(Z < z) = 0.9147
9.) The lengths of infants at birth in a certain hospital are normally distributed with a mean of 18 inches and a standard deviation of 2.2 inches. Find the probability that an infant selected at random from this hospital measures between 16 and 21 inches.
10. Use the normal distribution to approximate the following binomial distribution. A soccer player has a 65% chance of making a free kick. What is the probability of him making fewer than 27 free kicks in 40 kicks.