A city uses three pumps to carry water from a river to a reservoir. Pumps A and B are new, and have a probability of failing of 0.015 on any day. Pump C is older, and has a probability of failure of 0.08 on any day. Pumps A and B operate Monday-Friday. On Saturday, pumps A and C operate while pump B is serviced. On Sunday, pumps B and C operate while pump A is serviced. Answer the following questions, assuming that the pumps operate independently of one another, and independently from day to day. Determine the probability that pump A works on a day that it is in use. Find the probability that pumps A and B both fail on a day they are both in use. Compute the probability that at least one pump fails on any Sunday.

Q: 60 percent read newspaper A, 40 percent read newspaper B and 30 percent read newspaper C, 20 percent…

A: Let reading three newspapers be events, then   Probability of reading newspaper A = P(A)=0.60…

Q: According to TMUSS Quarterly (Totally Made-Up Sports Statistics) April 2017, the probability that…

A: Given information- The probability of a touchdown on their opening drive P (A) = 0.19 The…

Q: At Jimmy's, an old fashioned barber shop in downtown Victoria, 80% of all customers get a haircut,…

A: Let A be the event that the customer will get a haircut and B be the event that the customer will…

Q: Find the probabilities of getting Three 3s and then a 4 or a 5 in 4 rolls of a balanced die

A: a) since probability of a head on a fair coin is 1/2 therefore due to independence of trials P(eight…

Q: Each of the two friends tosses an unbiased coin ten times. What is the probability that each one…

A: Let X be a random variable denotes the number of heads friend 1 receive.. X~Bin10,12 Calculate the…

Q: At an electronics store, three types of tablets are sold. Company A's tablet is twice as likely to…

A: Given,   P(A) = 2 P(B) P(B) = P(C)   where, P(A) is the likelihood of sale of company's A tablet…

Q: Suppose you have two boxes A and B. Box A contains 7 black marbles, 4 white marbles. Box B contains…

A: It is given that there are two boxes A and B. Box A contains 7 black marbles and 4 white marbles.…

Q: placekicker in pro football has a 77% probability of making a field goal over forty yards on each…

A: Given: Each attempt that is made to field goal is independent. The team will win if a goal is made…

Q: A quiz consisting of four multiple-choice questions has four available options (a, b, c, or d) for…

A: Total number of question in the quiz =4 Number of available option               =4 Consider the…

Q: According to TMUSS Quarterly (Totally Made-Up Sports Statistics) April 2017, the probability that…

A: Let define the events: A denote the Tampa Bay Buccaneers will score a touchdown on their opening…

Q: If the marble we select is yellow, what is the probability that we chose the first bin?

A: here given , We have two bins. The first bin has 6 blue marbles and 4 yellow marbles. The second bin…

Q: Recently, a nurse commented that when a patient calls the medical advice line claiming to have the…

A: The Solution is as follows,

Q: According to TMUSS Quarterly (Totally Made-Up Sports Statistics) April 2017, the probability that…

A: Let A be the event that Tampa Bay Buccaneers will score a touchdown on their opening drive. B be the…

Q: Presumably, each student writing this examination is doing so independently of all other students.…

A: Given: P(Tom answers correctly)=0.8 P(Dick answers correctly)=0.7 P(Harry answers correctly)=0.6

Q: A small independent physicians' practice has three doctors. Dr. Sarabia sees 41% of the patients,…

A: To find: a.what is the probability that the patient saw Dr. Sarabia? b.For what percentage of all…

Q: Approximately 20% of the US population smokes cigarettes. A local government believed their…

A: Given data: The given percentage of the US population who smoke cigarettes are p=20%=0.20. The…

Q: As a promotional offer, a newly opened movie theatre is awarding 18% of their new patrons with a…

A: Out of all the patrons, only 18% are complimentary dinner and 82% are given free drink Out of all…

Q: The probability of selecting a four-person committee with one Democrat and three Republicans is .

A:

Q: An urn contains three red and two white balls. A ball is drawn, and then it and another ball of the…

A: Drawing a red first is not independent of the second draw being a white ball because the…

Q: household in a city choosing a sedan over other vehicle types is 38%. If 7,591 households in the…

A:

Q: Jane has stored three albums on her iPod. The first album consists of 11 songs by Frank Sinatra, the…

A: According to the given question, Jane has stored three albums on her iPod.The first album consists…

Q: lichael wants to take French or Spanish, or both. But classes are closed, and he must apply and get…

A: Formula : P(A or B) = P(A) + P(B) - P(A and B)

Q: f jellybeans are not associated with acne and you adopt an alpha of 5%: What is the probability of…

A: Given that  If jellybeans are not associated with acne and you adopt an alpha of 5% Level of…

Q: Unlike craps and roulette, where each throw or spin is independent of the one before it, in…

A:

Q: April 2017, the probability that the Tampa Bay Buccaneers will score a touchdown on their opening…

A:

Q: In an office complex of 1100 employees, on any given day some are at work and the rest are absent.…

A: Given information: The number of employees in the office is 1100. The number of employees working…

Q: According to TMUSS Quarterly (Totally Made-Up Sports Statistics) April 2017, the probability that…

A: Let us denote: The Tampa Bay Buccaneers will score a touchdown on their opening drive=A the Bucs…

Q: What is the probability that they will both score a touchdown on the opening drive and have 3 or…

A: Let us define some events A : score a touchdown on the opening drive. B : have 3 or more sacks in…

Q: Lavelle wears socks that are either red, white, or black. If there's a 28% chance that he'll wear…

A: There are 3 type of socks. White, red and black. 28% chance of he wear a white and 42 chance that he…

Q: If a die is rolled one time, what is the probabilities of each outcome: a. getting a number greater…

A: GivenA die is rolled one timethen the outcomes are{1,2,3,4,5,6}Total no.of outcomes = 6

Q: In a three subject class setting, there is a 75% chance that the students will pass only two…

A:

Q: The probability that Aiko can drive to work without having to stop at a red light is 0.125. The odds…

A: Given: The probability of not having to stop at a red light is: P(Not Stop) = 0.125

Q: The twins, Nikki and Sean want to open a small convenience store. They have to decide whether to…

A: Note: All payoffs are in $000. As we can see from the decision tree below, the best decision is to…

Q: As a promotional offer, a newly opened movie theatre is awarding 25% of their new patrons with a…

A: It is an important part of statistics. It is widely used.  Since the question has multiple sub parts…

Q: Kareem Abdul Jabbar and Larry Bird are very different when it comes to making free throws.  A sports…

A:

Q: The probability that a song was rock is 0.5, the probability that it had over 1,000 plays is 0.4,…

A:

Q: Part C: At the Iron Bank, 62% of customers have checking accounts, 24% have savings accounts, and…

A:

Q: Out of a sample of 10,000 men, the probability that a man picked at random weighs over 190 pounds is…

A: GivenThe probability that a man picked at random weighs over 190 pounds = 0.25The probability that a…

Q: A debating team of size 4 is to be randomly selected from 3 academic staff and 6 students. The…

A: We have to select a team of size 4 from the 3 academic staffs and 6 students and we have to find the…

Q: If a student guesses randomly and independently, what is the probability that she is correct only on…

A: here given , there are 5 multiple choice question  here p= probability of correct answer = 15 q =1-p…

Q: At the Washington University 35%, 25% and 40% of the students in Calculus are taught by Prof. A,…

A: It is a problem of conditional probability.

Q: Assume A, B, C, D, E, and F function independently. If the probabilities that A, B, C, D, E, and F…

A: Solution:

Q: A complex electronic device contains three components, A, B, and C. The probabilities of failure for…

A: Given : The probability of failure of for each component A,B, and C in any one year are…

Q: If a circuit contains four automatic switches and we want that, with a probability of 99%, during a…

A: Given X^4=0.99

Q: n a genetics experiment on​ peas, one sample of offspring contained 433 green peas and 121 yellow…

A: Solution: Given information: Green peas = 433 Yellow peas = 121 Total peas = Green peas + Yellow…

Q: smoke detector system uses two devices, A and B. If smoke is present, the probability that it will…

A:

Q: In a three subject class setting, there is a 60% chance that the students will pass only two…

A:

Q: Out of 800 families with 4 children each, what percentage would be expected to have no girls? Assume…

A: From the provided information, There are 800 families with 4 children each. The probability of girl…

Q: Given that a 7-digit phone number cannot start with 0 or 1, find the following: The probability of…

A: The number of digits in phone number are 7. The phone number cannot be start with 0 and 1.

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.