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=$

Q: Given P(B) = 0.47, P(A and B) = 0.10, P(A or B) = 0.51, what is P(A)?

A: From the given information, the probability that occurring event B is 0.47, probability that…

Q: Today there is a 90% chance of rain, a 30% chance of thunderstorms, and a 25% chance of rain and…

A:

Q: The probability that event A or event B will occur is

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

Q: = 0.40, what is P(A)?

A: Independent event- two events ( suppose A and B) are called to be independent events if the outcome…

Q: Given P(A) = 0.39, P(B) = 0.95, and P(B|A) = 0.07, what is P(A and B)?

A: Given :  P(A) = 0.39 P(B) = 0.95 P(B|A) = 0.07

Q: You are bidding for an antique trombone in a sealed bid auction. All of your bids must be in…

A: The objective is to determine the number that represents the difference between the amount of…

Q: Given P(A) = 0.94, P(B) = 0.98, P(B|A) = 0.52, what is P(A and B)?

A:

Q: Given P(A) = 0.20, P(B) = 0.25, and P(B|A) = 0.25, are A and B independent or dependent?

A: PA=0.20, PB=0.25 and PB|A=0.25

Q: Given P(A and B) = 0.25, P(B) = 0.85, P(B|A) = 0.93, what is P(A)?

A:

Q: Nina plays college soccer; she makes a goal 40 % 40 % of the time he shoots. Nina is going to…

A: Given that, A is that event where Nina is successful on her first attempt and B that she is…

Q: Given P(B) = 0.29, P(A and B) = 0.27, P(A or B) = 0.48, what is P(A)?

A: Given, PB=.29PA and B=PA∩B=.27PA or B=PA∪B=.48 We have, PA∪B=PA+PB-PA∩B⇒   PA=PA∪B+PA∩B-PB…

Q: Given P(A) = 0.86, P(B) = 0.77, P(B|A) = 0.37, what is P(A and B)?

A: Let A and B are two events. The known probabilities are, Using the conditional probability formula,…

Q: Given P(A) = 0.22, P(B) = 0.24, and P(B|A) = 0.21, are A and B independent or dependent?

A: We know,  P(B/A) = P(A∩B)/P(A)     P(A∩B) = P(A) P(B) Events A and B are independent if the equation…

Q: A small-town bakery has shelf space for five pieces of a perishable bread. The unit cost of baking…

A:

Q: iven P(A) = 0.25, P(B) = 0.28, and P(B|A) = 0.28, are A and B independent or dependent?

A:

Q: Given P(B) = 0.47, P(A and B) = 0.21, P(A or B) = 0.40, what is P(A)?

A: P(B) = 0.47 P(A and B) = 0.21 P(A or B) = 0.40

Q: Given P(A) = 0.21, P(B) = 0.24, and P(B|A) = 0.24, are A and B independent or dependent?

A:

Q: Given P(A and B) = 0.18, P(B) = 0.78, P(B|A) = 0.82, what is P(A)?

A: Given information- P (B) = 0.78 P (A∩B) = 0.18 P (B|A) = 0.82 P (B/A) is given by-

Q: Given P(A) = 0.84, P(B) = 0.44, P(B|A) = 0.20, what is P(A and B)?

A: Solution: From the given information, P(A)=0.84, P(B)=0.44 and P(B|A)=0.20.

Q: Given P(A) = 0.27, P(B) = 0.27, and P(B|A) = 0.21, are A and B independent or dependent?

A: Events A and B are said to be independent if P(A∩B)=P(A)·P(B) Given:  P(A) = 0.27, P(B) = 0.27, and…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.