The manager of a bakery knows that the number of chocolate cakes he can sell on any given day is a ran-dom variable having the probability distribution f(x) = 1 6for x = 0, 1, 2, 3, 4, and 5. He also knows that there is aprofit of $1.00 for each cake that he sells and a loss (dueto spoilage) of $0.40 for each cake that he does not sell.Assuming that each cake can be sold only on the day it ismade, find the baker’s expected profit for a day on whichhe bakes(a) one of the cakes;(b) two of the cakes;(c) three of the cakes;(d) four of the cakes;(e) five of the cakes.How many should he bake in order to maximize hisexpected profit?

Q: Find the probability of at least 2 female visitors in 17 visitors to Mt. Rainier National Park.…

A: The provided information are: Probability of success (p) = 0.5 Number of trials (n) = 17

Q: The time between arrivals of buses at a bus stand is exponentially distributed with a mean of 20…

A: Problem can be solved using exponential distribution formula.

Q: The probability that Mr. Johnson goes for an evening walk on any given day during the summer is…

A: The probability that Mr. Johnson goes for an evening walk on any given day during the summer is…

Q: ou are waiting in line at Dunkin. There are three people in front of you. The time it takes a person…

A:

Q: Find the probability of at least 2 female visitors in 19 visitors to Mt. Rainier National Park.…

A: Given that male and female visitors are equally likely. That is, P(male)=P(female)=1/2=0.5 Let us…

Q: If a potential customer is exposed to 4 promotions in a given month, what is the probability that…

A: here given ,     the number of promotions to which a customer has been exposed.  The  dependent…

Q: Suppose that an underground military installation is fortified to the extent that it can withstand…

A: An underground military installation can withstand up to 4 direct hits from air-to-surface missiles…

Q: ity of getting a number with "1" as the leading digit is about 0.301. Suppose you are an auditor for…

A: Value of n and r is missing so I have considered them by referring a similar question. Given: n=217…

Q: andomly draw a number from a very large data file, the probability of getting a number with "1" as…

A: The null and alternative hypotheses are: Ho: p = 0.301Ho:p=0.301 Ha: p < 0.301Ha:p<0.301…

Q: Each time a shopper purchases a tube of toothpaste, he chooses either brand A or brand B. Suppose…

A:

Q: In the 1950s, a study of 544 adult Americans who died of lung cancer found that 537 were smokers.…

A: In the 1950s, a study of 544 adult Americans who died of lung cancer found that 537 were smokers.…

Q: Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first…

A:

Q: An analyst estimates there is a probability of 18 percent that there will be a recession next year.…

A: Given,An analyst estimates there is a probability of 18 percent that there will be a recession next…

Q: The frequency of twin births has been increasing in recent years so that in 2022 about 4% of all…

A: From given in 2022 about 4% of all births were twins. and The probability of a birth being that of…

Q: An insurer writes a large book of home warranty policies. You are given the following information…

A:

Q: Suppose a county’s recent health report gives a pet allergy prevalence of 0.15 for kids. There is a…

A: Given data, P(Positive | Not have allergy)=0.07 P(Not have allergy)=1-0.15=0.85 P(Negative |…

Q: It is known from past eperience that the probability that a person has cancer is 0.15 and the…

A:

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.