1. A penny, a nickel and a dime are tossed. Let A be the event exactly two heads occur. B the event the penny comes up head; and c the event the nickel comes up head:
Find P(A) P(B) P(B|A)
2. Let F(x) = 0, for x < 0
cx², for 0 ≤ x < 1
1, for x ≥ 1
a) Find c so that F will be the probability distribution function function. Graph F.
b) Find the probability density function f. Graph f.
c) Find the expected value of x and variance of x.
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