Question 1 If R is the event that a convict committed armed robbery and D is the event that the convict pushed dope, state in words what probabilities are expressed by (a) P(R|D); (b)P(D'|R);

Q: Suppose that A, B are two events such that P(A)  = 0.7, P (B) = 0.55 and P  (A / B) = 0.6 Find P (A…

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Q: Let A and B be events with P(A) = 0.5 and P(AnB) = 0.4. For what value of P(B) will A and B be…

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Q: Suppose that A and B are events such that P(A) = 0.84,P(B) = 0.46, and P(A&B) = 0.38. Determine…

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Q: If A and B are independent events P(A) = 0.24 and P(A or B) =0.68 Find P(B)

A: P(A)=0.24, P(A or B)=0.68

Q: Suppose that E and F are two events and that N(E and F)=360 and N(E)=590 what is P(FIE)

A: Answer: From the given data, E and F are two events where N(E and F) = 360 N(E) = 590

Q: When two events A and B are not mutually exclusive, the probability that A or B occur is P(A or B) =…

A: Solution: From the given information, two events A and B are not mutually exclusive.

Q: The U.S. Census Bureau provides data on the number of young adults, ages 18-24, who are living their…

A: Given that 1) At least one of the two young adults selected is living in his or her parents’ home…

Q: if 2 events A and B are independant and you know that P(A) = 0.75, what is the value of P(A|B)

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Q: Suppose that A and B are events such that P(A) = 2/7 and P(A&B) = 3/25. Determine P(B| A).

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Q: So, P(A N B) is the probability that both dice show a 5. Of the 36 possible outcomes, there is only…

A: There are total 62=36 outcomes when two 6-sided dice are rolled.We can get (5, 5) for only 1…

Q: Part (a) Construct a tree diagram of the situation.   Part (b) P(C) =   Part (c) P(F | C) =

A: Given ,      C - A man develop s cancer     P(c) = 0.4956    F = A man has atleast one false…

Q: uppose that A and B are tow events for which P(A)=.32, P(B)=.6, and P(A and B)=.41. Find P(A|B)

A: P(A) = 0.32P(B) = 0.6P(A∩B) = 0.41P(A|B) = ?

Q: Suppose that A and B are independent events such that P (A) = 0.10 and P(B) = 0.50. Find P(An B) and…

A: P(A)=0.1P(B)=0.5events A and B are independent

Q: Suppose that E and F are two events and that N(E and F)=420 and N(E)=520 what is P(FE)

A: Answer: From the given data, N(E and F) = 420 N(E) = 520

Q: If P(A) = 3/4 and P(A and B) = 1/2, where A and B are dependent events, then P(B|A) equals?

A: Solution: From the given information, P(A) = ¾ and P(A and B)=1/2.

Q: 3) Let us assume that we have a five sided die. The sides of the die are marked with the numbers –2,…

A: The distribution of X is given  Let us compute E(X2)  E(X2)=∑xx2P(X=x)=(-2)2 P(X=-2)…

Q: Suppose that C and D are two events such that P(C)=1/2 and P(C & D)=3/10. What is P(D|C)​?

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Q: Suppose that E and F are two events and that P(E)=0.8 and P(F|E)=0.5. What is P(E and F)​?

A: Given data,  P(E)=0.8  P(F|E)=0.5 P(E and F)​=?