A biology professor has two graduate assistants help-ing her with her research. The probability that the older of the two assistants will be absent on any given day is0.08, the probability that the younger of the two will beabsent on any given day is 0.05, and the probability thatthey will both be absent on any given day is 0.02. Find theprobabilities that(a) either or both of the graduate assistants will be absenton any given day;(b) at least one of the two graduate assistants will not beabsent on any given day;(c) only one of the two graduate assistants will be absenton any given day.

Q: A stock market analyst figures the probabilities that two related stocks, A and B, will go up in…

A: Given that A will go up to be 0.7 the probability that both stocks will go up to be 0.2 we need to…

Q: Gertrude owns a movie theatre in the town of Northern Millstone. Assume the following to be true.…

A: From the given information, If a resident of Northern Millstone patronizes Gertrude’s movie theatre…

Q: Mary and Susan are each to play a tennis match. Let the probability that Mary wins her match be 0.65…

A:

Q: Jim has to take two consecutive exams to get a certificate. The probability for him to pass the…

A: The conditional probability of happening of event A when event B already happened, can be expressed…

Q: he probabilities that Anita and Evita will not do their homework are 0.3 and 0.2, respectively. The…

A: Given Information: P(Anita will not do her homework) = 0.3 P(Evita will not do her homework) = 0.2…

Q: Machines A and B produce 40% and 60% respectively of the production of a component intended for the…

A: Conditional Probability: Let A and B be two events with P(A) > 0. Then the conditional…

Q: The events of A and B are mutually exclusive. Suppose P(A) = 0.15 and P(B) = 0.35. What is the…

A: Given Information: The events A and B are mutually exclusive. P(A) = 0.15 and P(B) = 0.35 Two events…

Q: John finds a bill on his desk. He has three options: ignore it and leave it on his own desk, move…

A: Given that

Q: Mohamed Salah is currently the new "blue-eyed boy" of world football. Originally from Egypt but…

A: Total goals scored by salah=44 Probabilities of salah score: 0,1,2 and 3 goals are 0.1, 0.5, 0.3,…

Q: The probability that a contractor will get a plumbing contract, is 2/3 and the probability that he…

A: We have given that,  Let probability that a contractor will get a plumbing contract P(A) = 2/3 and…

Q: e route used by a certain motorist in commuting to work contains two intersections with traffic…

A:

Q: Every day, Rick either gains two pounds (with probability 1/2 ) or loses one pound (with probability…

A: Given that Every day, Rick either gains two pounds (with probability 1/2 ) or loses one pound (with…

Q: A badminton player is going to play both Men's Singles and Men's Doubles in theBased on his…

A: Let S denote event that the badminton player will become the champion in Men's Singles and D denote…

Q: The heights of a sample of 10 fathers and their eldest sons are given below : 167 162 Height of…

A:

Q: Based on a study from the Chronicles of Flippin'' Awesomeness, the probability that Napoleon and…

A: Giventhe probability that Napoleon and Pedro make it to their first period class on time = 0.46The…

Q: A math teacher is not happy about the attendance of her class at her online lectures. She decides…

A: From the given information, P(student will connect to online lecture| good internet connection)=0.75…

Q: When a customer enters a drugstore, the probabilities that he or she will have 0, 1, 2, or 3…

A: 1. Given: The probability of persons having 0 prescription is 0.55, 1 prescription is 0.30, 2…

Q: An office has 2 fire detectors. Suppose that 3 out of every 100 fire detectors will fail to go off…

A: It is given that, 3 out of every 100 fire detectors will fail to go off during a fire.

Q: A company is introducing a new product into the market. If the sales are high, there is a 0.6…

A: To obtain the expected returns resulting from a single transition from state i given alternative k,…

Q: what is the probability that George will be elected?

A: Here given, In an upcoming congressional election, two democrats, Al and Bill, seek the nomination…

Q: The probability that a shopper will buy a PS3 is 0.40. The probability that a shopper will buy an…

A: Let; PS = PS3 XB = X-Box 360 ND = Nintendo DS Given that; P(PS)=0.40P(XB)=0.54P(ND)=0.30P(PS ∩…

Q: You have relatives coming for dinner this weekend.  The probability that your uncle Josiah will show…

A: Given Data: Let A be the event that your uncle Josiah will show up Let B be the event that your aunt…

Q: Suppose that two persons are working on a project together. The probability that person A works for…

A: Given

Q: I hit two traffic lights on my way to work each morning. Both lights operate independently. The…

A: Let,  Ri : i th traffic light is red , i=1, 2Rci : i th traffic light is not red , i=1, 2   P(R1∩R2)…

Q: a) On a sunny day, what is the probability that Mason does not find a spot in Lot A?   (b) In a week…

A: Solution:   spot no spot sunny 0.7 0.3 rainy 0.4 0.6 a) as we can see from contigency…

Q: A faculty member meets two students in Paris, one of whom arrives by train from Amsterdam and the…

A: There are two students, one of whom arrives by train from Amsterdam and the other student arrives by…

Q: Suppose a free throw shooter makes 67 percent of their first attempts.  On the second attempt they…

A:

Q: A company is introducing a new product into the market. If the sales are high, there is a 0.6…

A: The problem at hand involves a company introducing a new product in the market and making decisions…

Q: The probability that a student at a university is a male is 0.48, that a student is a business major…

A:

Q: A BSCE student is taking Calculus 2 and Engineering Data Analysis courses. The probability that he…

A: The probability that he will pass Calculus 2 and Engineering Data Analysis is 2/3and 4/9 The…

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.