i) Find the probability that the event Y does not occur. ii) Draw a contingency table to represent the events above. iii) Find P (XU Y).
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Q: :The probability of an event E is defined as
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A: V(X)=E(X2)-[E(X)]2 Sample space=S S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (2,1) (2,2) (2,3) (2,4)…
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Q: Suppose that E and F are two events and that N(E and F)=420 and N(E)=740. What is P(F|E)?
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Q: The events A and B are independent. P(A)=2x, P(B)=3x, P(AUB)=2/3). Find the value of x.
A: Given Data: P(A)=2x P(B)=3x P(AUB)=2/3 The probability of A intersection B is, PA∩B=PA·PB=2x3x=6x2
Q: Suppose that E and F are two events and that N(E and F)=450 and N(E)=750. What is P(F|E)?
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- Find values of n, x, p and q. DO NOT SOLVE based on American Chemicsl Society, there is a 0.9 probability that in the United States, a randomly selected dollar bill is tainted with traces of cocaine. Assume 8 dollar bills are randomly selected. Find the probability that at least 5 of them have traces of cocaineAssume that we have two events A and B, that are mutually exclusive. Assume further that P(A) = 0.32 and P(B) = 0.14. Find P(AU B). Select one: O a. 0.4152 O b. 0.46 O c. 0.0448 O d. 0show me steps
- The device consists of 3 elements. The probability of failure free operation of each of them are respectively equal to. 0.6, 0.7, 0.8. Find the probability that at least two of elements will work without fail.1 A) Complete the Probability Distribution Table below for an imaginary lottery. (No need to calculate values, just remember your probabilities must ADD to 1. You should be able to complete that statement.) Prize Probability (X x) B) Use the table you created to determine the amount of money someone expects to win when they purchase a lottery ticket.Please provide steps for how you got the solution to the problem provided below. A machine is used to produce one of each of two types of product (A and B) on alternating days, i.e., if A is produced today then B will be produced tomorrow and vice versa. Each day, there is a probability that the machine malfunctions. Malfunction probability after a day of operation is 0.03 when producing A and 0.07 when producing B. Once the machine malfunctions, it is no longer operable and will not be replaced until sometime in the future (beyond modeling horizon). Model the system as a Markov chain (give transition matrix on your paper). Suppose that on Monday product A was produced. Find the probability that the machine is still operable by the morning of Thursday. Your model should have a state ”malfunction”, which cannot transition to any other state other than itself.