(c) Give the following probabilities and select the correct option below. P(A and B) P(B) 吕 P(A\B) P(A and B) P(B) ▼ P(4|B)

If a binomial experiment has probability p success, then the probability of failure is ____________________. The probability of getting exactly r successes in n trials of this experiment is C(_________, _________)p (1p)

Answer choices are in the picture :)

Use the table to find the probabilities. Show your reasoning. A.) P(A) B.) P(B) C.) P(A and B) D.) P(A|B)

The Addition Rule says that P(A or B) = P(A) + P(B). What must be TRUE about events A and B for this rule to apply? The events must be complements. The events must be disjoint. There must be a positive probability that the events can occur simultaneously. The events must be dependent. The events must be independent.

P(A)=0.55,P(B)=0.58,P(B∪A)=0.86 Find the following probabilities. P(A∩B) =  P(B|A) =  P(A|B) =

Rhett owns a cupcake bakery and is analyzing his sales of cupcake delivery orders. Based on his daily sales of delivery orders for the past month, he has already calculated the probabilities, ?(?),P(X), for the number of boxes of cupcakes, ?,X, purchased by a single customer in a single day, as shown in the table. ?X 1 2 3 4 5 ?(?)P(X) 0.75 0.05 0.10 0.05 0.05 Calculate the mean number of boxes of cupcakes, ??,μX, sold and delivered per person in a single day. Express your answer to two decimal places. ??=μX=     If a box of cupcakes costs $40.00$40.00 and the flat-rate delivery fee is $7.00$7.00, calculate the mean sales per person, ??,μY, that the cupcake shop makes in a single day for delivery orders. Express your answer to the nearest cent. ??=$μY=$

The probability that event A or event B will occur is P(A or B)=P(A)+P(B)−P(A or B).

= Find P(A or B or C) for the given probabilities. P(A) = 0.36, P(B) = 0.24, P(C) = 0.16 P(A and B)=0.11, P(A and C) = 0.03, P(B and C) = 0.07 P(A and B and C) = 0.01 P(A or B or C) =

P(A)=0.64,P(B)=0.45,P(B∪A)=0.92 Find the following probabilities. P(A∩B) =  P(B|A¯) =  P(A¯|B) =