(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)

Find these probabilities: d. P(No and Republican) = e. P(No or Republican) = f. P(No | Republican) =

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)

A charity sells 1000 tickets for a lottery to raise money. 10 tickets will be chosen at random to win prizes: 1 $100 prize, 2 $50 prizes, and 7 $10 prizes. The other tickets will win nothing. Suppose you buy 1 ticket. Let P(x) = probability of winning x dollars. Match the following questions to their answers: P($100) + P($50) + P($10) + P($0)=? Choose... Choose... What is the probability that you win exactly $50 1/100 1 What is the probability that you do not win anything? 1/500 99/100

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.

In the following equation, P(cancer | positive test) P(positive test | cancer)P(cancer) P( positive test) %3D The prior probability of cancer is given by... O P(cancer positive test) O P(positive test) O P(cancer) O P(positive têst | cancer)

A bag contains x red paper clips, (x + 4) blue paper clips, and (3x – 11) white paper clips. A clip is drawn at random from the bag. If the probability that the blue clip drawn is 1/2 , find the value of x. Your answer

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=$