(a) What is the value of k? (b) Find E(X) and o (X). (c) Suppose the number of events students take part are independent. In a group of 6 probability that exactly 4 students join at least 2 events?

Q: Let Ω be some basic set, P its probability distribution, and A, B ⊂ Ω events. (1) Show that if A is…

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Q: Suppose A and B are events with P(A) = 0.3, P(B) = 0.85, and P(B|A) = 0.6. Find the value of P(A or…

A: given data  P(A) = 0.3 P(B) = 0.85 P(B|A) = 0.6 P(A or B) = ?

Q: It is known that P(AB)=0.45, P(B)=0.90 and the events A and B are independent.                Find…

A: Independent events are events that do not affect the outcome of subsequent events.

Q: Which statement below proves A and B are independent events? P(A)=0.23, P(B)=0.62, P(A and…

A: If A and B are independent events then  P(A and B) =P(A) ×P(B)

Q: We are given that  P(A | B) = 0.2  and  P(A) = 0.9.  Since  P(A | B) ≠ P(A),  the occurrence of…

A: Since  P(A | B) ≠ P(A),  the occurrence of event B changes the probability that event A will occur.…

Q: Let A and B be two independent events with P(A)= 0.4 and ?(?⋃?)=0.64. What is P(B)?

A: given: P (A) =0.4 P (AUB) =0.64

Q: For this problem, assume the cooler contains 29 cans, 13 of which are regular, and the rest of which…

A: From the provided information, Total cans = 29 Regular cans = 13 Diet cans = 29 – 13 = 16

Q: The events of A and B are mutually exclusive. Suppose P(A) = 0.15 and P(B) = 0.35. What is the…

A: Given Information: The events A and B are mutually exclusive. P(A) = 0.15 and P(B) = 0.35 Two events…

Q: Suppose A and B are two independent events with P(a)=0.5 and P(b)=0.4 what is the P(A U B)?

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Q: (10) A box contains 12 black marbles and k white marbles. If a marble is picked at random 5 -. Find…

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Q: For two events, A and B, P(A) = 0.5, P(B) = 0.5, and P(A/B) = 0.4. a. Find P(ANB). b. Find P(BIA).…

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Q: An event A will occur with a probability of 0.7. An event B will occur with a probability of 0.2.…

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Q: A and B are independent events. If Pr(A intersect B)= 0.32 and Pr[A]= 0.4 what is Pr [B]?

A: Given Data: The probability of A intersect B is: PrA∩B=0.32 The probability of A is: PrA=0.4 Event A…

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: The addition rule P(E or F)=P(E)+P(F) applies only to which type of events? a. Complementary b.…

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Q: Events A and B are mutually exclusive. Suppose event A occurs with probability 0.2 and event B…

A: Given: A and B are mutually exclusive .         P(A)=0.2  ,   P(B)=0.64 ∴ P(A∪B)=P(A)+P(B)i.e.…

Q: If A and B are any two events with P(A) = 0.9 and P(B|A) = 0.5, then the probability of A and B is?

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Q: use the information on the data table to decide  are the events 'wild-caught' and 'come from…

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Q: If A and B are independent events with P(A)=0.9 and P(B)=0.8, find P(A AND B).

A: It is given that , A and B are the two independent events & their probabilities is P(A) = 0.9…

Q: Suppose P(A) = 0.4, P(B) = 0.3, and P(A n B) = 0. Which one of the following statements correctly…

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Q: Assume that events X, Y, Z are mutually exclusive (pairwise) and P(X) = 0.132 P(Y) = 0.1618 P(Z)…

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Q: The Addition Rule says that P(A or B) = P(A) + P(B). What must be TRUE about events A and B for this…

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Q: A and B are independent events. If Pr(A n B) = 0.16 and Pr[A] = 0.2 what is Pr[B]?

A: If A and B are two independent events then:

Q: Let E and F be two events and suppose P(E) = 0.48, P(F) = 0.55, and P(E F) = 0.74. Find P(E | F).

A: According to the provided information,  P(E) = 0.48, P(F) = 0.55, and P(E⋂F) = 0.74

Q: Suppose A and B are mutually exclusive events. P(A)= 0.33, P(B)= 0.30 Calculate P(A or B)?

A: Answer: Given that, A and B are mutually exclusive events P(A) = 0.33 P(B) = 0.30