Find the indicated probabilities using the geometric​ distribution, the Poisson​ distribution, or the binomial distribution. Then determine if the events are unusual. If​ convenient, use the appropriate probability table or technology to find the probabilities.   The mean number of heart transplants performed per day in a country is about five. Find the probability that the number of heart transplants performed on any given day is​ (a) exactly seven​, ​(b) at least eight​, and​ (c) no more than four.

Q: The probability that a bolt meets a strength specification is 0.87. What is the probability that the…

A: It is given that the probability that a bolt meets a strength specifications is 0.87.

Q: The mean number of boxes shirts purchased from a souvenir store per week is 5. Find the probability…

A:

Q: In an election, suppose that 50% of voters support the incumbent candidate. If we poll 92 of these…

A: From the provided information,In an election, suppose 50% of voters support the incumbent candidate,…

Q: The probability that Ah Chong hits a target is 0.25. He fires six times. Find the probability that…

A: This is the case of binomial, as there are only two possible outcomes that are independent and where…

Q: A group of people were asked if life exists elsewhere in the galaxy. 336 responded "Yes", and 400…

A: The number of people believe in existence of life elsewhere in the galaxy is 336. The number of…

Q: Six males of whom two are of blood type A, the other two of blood type B and the last two of blood…

A: Given information: 6 males of whom 2 are of blood type A, the other 2 of blood type B and the last 2…

Q: The mean customer aarival for a book store in a day is 8. What is the probability that on a given…

A: We have givenλ = 8X ~ Poisson (λ = 8)Formula: P(X = x ) = (e-λλx)/x!

Q: The probability of selecting a red lolly from a lolly bag is 5/7. Determine the probability of the…

A: P(red lolly) = 5/7 P(not red lolly) = 1-P(red lolly) = 1-(5/7) = 2/7

Q: on has blood type A is 0.3.Two persons are selected at random. What is the probability that neither…

A: Consider: E: The event that selected person has Blood type A. We have P(E)=0.3 The probability of…

Q: Two unfair dice are thrown where odds are twice as likely to occur as evens. A. Find the probability…

A: here given , Two unfair dice are thrown where odds are twice as likely to occur as evens. so here…

Q: Find the probability and interpret the results. If convenient, use technology to find the…

A:

Q: Based on a poll , among adults who regret getting tattoos , 30 % say that the too young when they…

A: Given, p=30% = 0.3 n=5 q=1-p=1-0.3=0.7

Q: Let the random variable x represent the number of girls in a family of 3 children.  Construct a…

A: Given that the random variable X represents the number of girls. n represents the total number of…

Q: Construct a probability distribution for tossing two coins. Let x represents the number of tails.

A: Given that two coins are tossed.

Q: In a jury trial, suppose the probability the defendant is convicted given guilt, is 0.95, and the…

A: Let A1 : the defendant is convicted B1 : defendant is guilty A2 : defendant is acquitted B2 :…

Q: The probability distribution below shows the number of kittens in a litter?

A: Let X be a sample space of discrete random variables. We shall use the following facts : i) ∑x∈X…

Q: A pair of fair dice is rolled. Let X denote the sum of the number of dots on the top faces. Find the…

A: Given: A pair of fair dice is rolled. X is the random variable denoting the sum of dots on the top…

Q: Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the…

A: From the provided information, The mean number of births per minute in a country in a recent year…

Q: A factory produces a particular electrical component. On average, the probability that a component…

A: The probability of having at least 1 faulty components is 0.7049096534 or 0.70.Explanation:A…

Q: Determine whether the following individual events are independent or dependent. Then find the…

A: Determine whether the given event is independent or dependent event or not. The given event is…

Q: A die is weighted in such a way that each of 2, 4, and 6 is twice as likely to come up as each of 1,…

A: It is given that the each of 2,4, 6 is twice as likely to come up as each of 1,3,5.

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.