Suppose 20% of the population are 65 orover, 26% of those 65 or over have loans, and 53% of thoseunder 65 have loans. Find the probabilities that a person fitsinto the following categories.a. 65 or over and has a loanb. Has a loan

Q: If A and B are two mutually exclusive events with P(A)=0.35 and P(B)=0.55, find the following…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: .Find the following probabilities if the probability that it is windy is 0.4 .A- The weather should…

A: Let us define some events A : the weather is overcast. B : the weather is windy. It is given that…

Q: Find the following probabilities if A and B are disjoint (mutually exclusive) events, and P(A) =…

A: Given P(A)=0.2 and P(B)=0.3 Both A and B are disjoint (mutually exclusive) events. Disjoint Events:…

Q: 2.) The probabilities that the surgeon will operate 3, 4, 5, or 6 patients in a day are 0.43, 0.36,…

A: 2. Given: Probability distribution for number patients operated by a surgeon. The mean is obtained…

Q: Suppose 23​% of the population are 63 or​ over, 29​% of those 63 or over have​ loans, and 54​% of…

A: Given: Let A be the event representing the population are 63 or over. Let A' be event representing…

Q: If 2 cards are selected from a standard deck of 52 cards without replacement, find these…

A: We have to find given probability.

Q: On a given weekend in the fall, a tire company can buy television and advertising time for a college…

A: Introduction: Bayes’ theorem: Consider events A1, A2, …, Ak, and B (non-null). Now, the probability…

Q: d) Suppose Trevor must leave at or before 7:30 to be on time for work. If Trevor leaves as soon as…

A: HERE GIVEN  PMF  OF X X = no. of minute trevor takes to leave for work

Q: If R is the event that a convict committed armed robbery and D is the event that the convict pushed…

A: It is given that R denotes the convict committed armed robbery and D denotes the event that the…

Q: determine the probabilities in parts B through

A: Given Standard Normal Distribution that is Z=X-μσ~N(0,1) We have to find the Probabilities from…

Q: determine the probabilities of the following events. [Hint: "A or B" is the event that at least one…

A:

Q: It is known that 20 percent of all persons given a certain medication get drowsy within two minutes.…

A: We want to find the following probability

Q: If a class has 8 freshmen, 5 sophomores, 4 juniors, and 2 seniors, what is the probabilitythat three…

A: Given: 8 freshmen 5 sophomores 4 juniors 2 seniors Total = 8+5+4+2=19

Q: Which of the following probabilities is correct for P(C and D) if C and D are mutually exclusive?

A: It is given that  The events C and D are mutually exclusive.

Q: The probabilities that the secretary of a construction company, her manager, or both will be sick on…

A: Let A=secretary will be sick  B=manager will be sickGiven,P(A)=0.04P(B)=0.07P(A∩B)=0.02

Q: An individual who owns the ice cream concession at a sporting event can expect to net $600 on the…

A:

Q: Suppose that an antique jewelry dealer is interested in purchasing a gold necklace for which the…

A: Expected profit = 0.2*350 + 0.4*150 + 0.28*0 + 0.12*(-150) = 112

Q: Suppose a pair of dice are rolled. Consider the sum of the numbers on the top of the dice and find…

A: if a pair of dice are rolled then the possible out comesare 36.i.e n(s)=36no.of possible out comes…

Q: t Litchfield College of Nursing, 88% of incoming freshmen nursing students are female and 12% are…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: A car plant produces about one hundred cars per day independently of any other day with…

A: A Markov chain is a process X t : t ≥ 0 that satisfies the Markov's property. Here, X t is the state…

Q: A car can travel from Town A to Town C by using the four roads below. The probabilities of these…

A: the probability that a car cannot reach Town C from Town A = P(H1) * P(H2) * P(H3) * P(H4)

Q: Find the following probabilities: a. The student studies for the midterm b. The student does not get…

A: Let us define some events A : student studies for the midterm test. B : student does not study the…

Q: If R is the event that a convict committed armed robbery and D is the event that the convict pushed…

A:

Q: Suppose a pair of dice are rolled. Consider the sum of the numbers on the top of the dice and find…

A: We first make a table for the sum of the values when two dice are rolled. sum Outcomes…

Q: If the probabilities that restaurant will have service 3, 4, 5, 6, 7, or 8, or more customers on any…

A: Given : x p (x) 3 0.10 4 0.19 5 0.25 6 0.20 7 0.10 8 0.07

Q: If events C and D are mutually exclusive, then P(C and D) = A. 1 B. 0 C. .50 D. the sum of the…

A: Given data is The events C and D are mutually exclusive

Q: Of the last 400 customers entering a supermarket, 20 have purchased a mobile phone. If the classical…

A: Given that there are total 400 customers who have already entered the supermarket.  Among them, 20…

Q: A car plant produces about one hundred cars per day independently of any other day with…

A: A Markov chain is a process Xt: t≥0 that satisfies the Markov's property. Here, Xt is the state of…

Q: Suppose A and B are events in a sample space with ?(?)=0.72 ?(?)=0.58 ?(?∪?)=0.93 Find the…

A: The given probabilities are, PA=0.72,PB=0.58,PA∪B=0.93 The probability of A intersection B is,…

Q: If 20% of the people in a community use the emergency room at hospital in one year, find these…

A: Given that, Sample size n=10 Probability of the people in a community use the emergency room at…

Q: If 15% of the people who are given a certain drug experience dizziness, find the following…

A: Given : P = 0.15 n = 12 given condition follow a binomial distribution. a) Px = 2 =Cxn×Px×1-Pn-x Px…

Q: Of all the Harry Potter books purchased in a recent year, about 60% were purchased for readers 14 or…

A: Of all the Harry Potter books purchased in a recent year, about 60% were purchased for readers 14 or…

Q: A company hosts a free flu shot clinic for their employees each year. The company finds that on…

A:

Q: (ii) It is known that the bike got major repair within the first year then find the probabilities…

A:

Q: An art dealer receives a shipment of five old paint-ings from abroad, and, on the basis of past…

A: We have been given the following Probability distribution for the number of paintings to be forged:…

Q: If A and B are two mutually exclusive events with P(A)= 0.5 and P(B)=0.4, find the following…

A:

Q: A.The probabilities that an automobile salesperson will sell 0, 1, 2, or 3 cars on any given day in…

A: We know that, ∑p(x) = 1 0.19+ 0.38+0.29 + 0.14 = 1

Q: a) A dealer decides to sell an antique automobile by means of an English auction with a reservation…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: If two cards are drawn without replacement from an ordinary deck, find the probabilities of the…

A: Given: Two cards are drawn without replacement from an ordinary deck. Number of face cards in a…

Q: You are given four events A, B, C, D that are independent, and whose probabilities are Pr(A) = 0.6,…

A:

Q: At a particular college for nursing, 82% of incoming freshmen nursing students are female and 18%…

A: Given Information: At a particular college for nursing, 82% of incoming freshmen nursing students…

Q: Two motels are up for sale. The following two tables give the number of rooms rented per day…

A: The average profit per room rented at the first motel is $28.The average profit per room rented at…

Q: Which of the following statements has the greatest probability?

A: Here USE BAYES RULE FOR GIVEN SCENARIO

Q: following

A:

Q: Find the following probabilities. (a) P(X = 2) (b) P(X <2)

A:

Q: (1) A witch is planting a garden. In one of her garden beds, she plants peppers with probability…

A: Given that, witch is planting a garden. In one of her garden beds, she plants peppers with…

Q: Suppose that an employer plans to hire five people from a group of fourteen equally qualified…

A: Let X : number of minority candidates hired. X ~ bin (n, p) where, n = 5, p = 4/14= 0.285714, q =…

Q: If R is the event that a convict committed armed robbery and D is the event that the convict pushed…

A: a) The event R defines that a convict committed armed robbery.

Q: in 21. A salesman wants to know the average number of units he sells per salee checks his past sales…

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.