The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the conditional probability of the event E, getting a six, given that the event F, getting an even number, has occurred is P(EF)=___________.
The conditional probability of E given that F occur is P(EF)= _____________. So in rolling a die the conditional probability of the event E. “getting a six,” given that the event F, “getting an even number.” has occurred is P(EF)= ____________.
Assume that the probability that an airplane engine will fail during a torture test is 12and that the aircraft in question has 4 engines. Construct a sample space for the torture test. Use S for survive and F for fail.
Suppose that X has a hypergeometric distribution with N = 2,000, K = 800, and n = 200. Find the probability P (X ≤ 70) based on the corresponding hypergeometric distribution and approximate normal distribution. Is the normal approximation reasonable?
8.- Given that X is a hypergeometric random variable with N = 10, n = 5, and r = 7: a. Display the probability distribution for X in tabular form. b. Compute the mean and variance of X. c. Graph p(x) and locate μ and the interval μ ±2σ on the graph. d. What is the probability that x will fall within the interval μ ±2σ ?
Let Xi be arandom sample from U(0,1)prove that Xn’ convarges in probability to 0.50
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