Determine the expected value and variance

Reference no: EM13985330

1. Philip throws a fair die until he obtains a four. Diane then tosses a coin as many times as Philip threw his die. Determine the expected value and variance of the number of

(a) heads,

(b) tails, and

2. Let p be the probability that the tip points downward after a person throws a drawing pin once. Miriam throws a drawing pin until it points downward for the first time. Let X be the number of throws for this to happen. She then throws the drawing pin another X times. Let Y be the number of times the drawing pin points downward in the latter series of throws. Find the distribution of Y (cf. Problem 2.6.38).

Reference no: EM13985330

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