If X follows the Poisson probability law such that P (x = 1) = P (x = 2). then ind the probability of 4 successes.
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- Suppose a fair coin is tossed 3 times. Define the r.v.'s X = number of Heads and Y = 1(0) if H (T) occurs on the first toss. Find the joint probability function for (X, Y).2 If the probability of an event E is (Simplify your answer.) then the probability that E will not occur is 3'It is equally probable that two signals reach a receiver at any instant of the time T. The receiver will be jammed if the time difference in the reception of the two signals is less than T. Find the probability that the receiver will be jammed.
- Suppose the probability of getting the flu is 0.20, the probability of getting a flu shot is 0.60, and the probability of bothgetting the flu and a flu shot is 0.10. (a) Find the probability of the union between (getting the the flu) and (getting the flu shot).Let A be the event that a flight from New York to San Fransisco arrives on time and let B be the event that it is a clear day in San Fransisco. Suppose that the probability of a clear day is P(B)=0.6.and the probability a plane arrives on time is P(A)=0.7. We also know that the probability a plane arrives on time on a cloudy day is P(A|B^C)=0.5, The events A and B are? Dependent Events Independent Events Disjoint Events All of the AboveIf the probability that a fluorescent light has a useful life of at least 900 hours is 0.9,evaluate the probabilities that among 20 lights(i) Exactly (N+9) will have a useful life of at least 900 hours. N=0