please answer both questions and show work

Question 1. Let two cards be dealt successively, without replacement, from a standard 52-card deck. Find the probability of each event. a) a spade is dealt first and a red two is dealt second

b) two face cards are dealt

Question 2

A life insurance company $200,000 one-year term life insurance policy for $2000. According to national data, the probability that a female survives the year is 0.9912. a) Construct the probability distribution for value of this policy to the insurance company.

X P(x)

x	p(x)

b) What is the expected value for this policy from the insurance company's point of view? What is the standard deviation?

c) If 1000 policies are sold, how much should the insurance company expect to earn or payout?