A hospital has an urgent need for four units of type A+ blood. Assume that approximately 28% of the population has this type of blood. If there are 12 people waiting to donate one unit of blood, what is the probability that the hospital will be able to meet its need? (Hint: Subtract the probability that fewer than four people have A+ blood from 1.)

Q: If a seed is planted, it has a 85% chance of growing into a healthy plant. If 11 seeds are planted,…

A: Given that, Probability(grow) = 85% = 0.85 Probability(don't grow) = 15% = 0.15 Sample size, n = 11

Q: It has been found that 2 out of every 10 people who visit a local store purchase juice. If we…

A: Let x follows binomial distribution with parameters, The pdf of binomial distribution is, The…

Q: In a commissioned research, the inter-collegiate swim meets management found out that an estimated…

A: GivenThe percentage of swimmers competing use performance enhancing drugs = 3% The accuracy of the…

Q: ssuming that P(green) = 0.75, what is the probability that among his 580 plants

A: Let, Xi be a random variable. Xi = 1,     if ith pea is green0,       otherwise So, Xi = 1,   with…

Q: In a chocolate factory, 30% of all chocolates made contain caramel in the center.  (a) What is the…

A: Let chocolate made containing caramel be considered a success. Thus, p = probability of success =…

Q: The Denver Post stated that 80% of all new products introduced in grocery stores are taken off the…

A:

Q: A fair coin is flipped 8 times. What is the probability of obtaining at least one H?

A:

Q: An oil company has determined that the probability of finding oil at a particular drilling operation…

A: Let p be the probability of finding oil at perticular drilling operations.  Given p=0.20  Let X be…

Q: The American Automobile Association reports that of the fatal car and truck accidents 54% are caused…

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Q: A fair coin is tossed 25 times. What is the probability that there will be at least 20 heads?

A: Let, X= number of heads  probability of getting a head (success)= p =1/2 =0.5 Probability of…

Q: A certain type of ochro seed germinates 75% of the time. A backyard farmer planted 6 seeds. What is…

A: Givenn=6p=0.75x~Binomial(n=6,p=0.75)P(X=x)=Cxn px (1-p)n-x  ; x=0,1,2...,n

Q: Suppose that a fast food restaurant can expect two customers every 3 minutes, on average. What is…

A:

Q: Past records of a factory show that 4% of the candles produced are defective. What is the…

A:

Q: A sales firm receives, on average, 3 calls per hour on its toll-free number. For any given hour,…

A:

Q: In a large city, 8% of the inhabitants have contracted a particular disease. A test for this disease…

A: Assume, D=have disease Dc= do not have diseasep= postive n= negativeGiven:…

Q: A small town has one fire engine and one ambulance available for emergencies. The probability that…

A: Given: Event A= Fire engine is available Event B=Ambulance available  Both A and B are independent.…

Q: In the US in 2021, 62% of households subscribed to Netflix streaming services and 57% subscribed to…

A:

Q: According to the AABB, 40% of the population has Type A blood.  Suppose a certain hospital typically…

A: The mean is,μ=np The standard deviation is, σ=np(1-p) n is the sample size and p is the proportion.…

Q: In a state where cars have to be tested for emission of pollutants, 25% of all cars emit excessive…

A: To find: the probability that a car fails the test.

Q: A manufacturer claims that a new drug is 85% effective. If the drug is given to 10 patients, find…

A: The binomial probability distribution is, PX=x=nxpx1-pn-x In the formula, n denotes the number of…

Q: Naval intelligence reports that 6 enemy vessels in a fleet of 18 are carrying nuclear weapons. If 8…

A: Hyper geometric distribution: In a population with N objects, M be the number of success event. A…

Q: In a recent​ survey, it was found that the median income of families in country A was ​$58,000. What…

A: In a recent​ survey, it was found that the median income of families in country A was ​$58,000.

Q: In economics, of all new products put on the market, 60% failed and are taken off the market within…

A: Given:  P = 60 % = 0.60 n = 80 q = 1-0.60 = 0.40 Probability that with in 2 years 57 or more will…

Q: Assuming that P(green) = 0.75, what is the probability that among his 580 plants that the number of…

A: Given that , P(green) = 0.75  Total number of plants = 580  Let, X be the number of pees with green…

Q: In a technology company, it is known that the average of network failure is 3 per week. What is the…

A: Let X denote the number of failures per week.  It is given that Average number of failures per week…

Q: Brandybuck Insurance Company (BIC) is deciding whether to insure the lives of those leading a quest…

A: From the given information, the probability of surviving such a quest is 94.0% and the probability…

Q: Brandybuck Insurance Company (BIC) is deciding whether to insure the lives of those leading a quest…

A: Formula :  Expected value = ∑xP(x)

Q: A manufacturer of metal pistons finds that on the average, 12% of his pistons are rejected because…

A: This is the case of binomial, as there are two possible outcomes with a fixed number of trials.…

Q: A sports commentator claims that 45% of all football injuries are knee injuries. If this claim is…

A:

Q: At a store, the average number of customers entering is 10 persons per half an hour. What is the…

A: Solution: Let X be the number of persons enter within 10 minutes. From the given information,…

Q: c) Find the probability that at least three defectives are found?

A: Here given ,  A manufacturing process that produces electron tubes is known to have a 10% defective…

Q: A softball pitcher has a 0.482 probability of throwing a strike for each pitch.  If the softball…

A: It is given that the probability of throwing a strike for each pitch is 0.482. Assuming that…

Q: It is known that in a batch of milk cartons, 30% are underfilled. In a sample of six milk cartons…

A: Given that the batch of milk cartons underfilled is 30% and there are sample of six milk cartons.…

Q: A trucking company has found that its trucks average 1.3 breakdowns during round trips from…

A: a.

Q: In the past 20 races, there was two A-class horses to participate in each race. And there was ten…

A: two A class horses participate in each race but only one can win championship. and out of 20 races…

Q: rolled three

A:

Q: n a family with 3 children, excluding multiple births, what is the probability of having exactly 1…

A: In this case, we need to obtain the probability of having exactly 1 girl. Given: A family of three…

Q: In a technology company, it is known that the average of network failure is 2 per week. What is the…

A: Let X denote the number of failures per week.  It is given that Average number of failures = 2

Q: If 70% of a population is vaccinated, and the hospitalization rate is 5 times higher for an…

A: Dear student, If you find this solution helpful please upvote ? it.

Q: What is the probability that A or B3 occurs? Given that B2 has occurred, what is the probability…

A:

Q: A large national study finds that 10% of pregnant women deliver prematurely. A local obstetrician is…

A: As per bartleby guidelines only 3 subparts are answered, please upload the rest separately. It is…

Q: On average, a textbook author makes three word-processing errors per page on the first draft of her…

A: Given The author makes three word processing error per page

Q: A key shop advertises that the keys made there have a P = 0.85 of working effectively. If you bought…

A: Let "X" be the keys that would work effectively.

Q: Suppose that Stephen makes 95% of his free throws. Assume that late in a basketball game, he is…

A: Given that  Success of probability p =0.95 Number of trials n=2 X~binomial (n,p) NOTE:- According to…

Q: On average, a textbook author makes two word processing errors per page on the first draft of her…

A: Given,      λ=2    Let 'X' is the no. of Errors made by the author.    X~Poisson λ=2…

Q: In testing a certain kind of truck tire over rugged terrain, it is found that 39% of the trucks fail…

A: Given : Let X : Number of trucks have blowouts  p : 0.39 ( Probability of trucks fail to complete…

Q: If the seed has germinated, what is the probability that it is of type A?

A: We need to use concept of conditional probability because we are interested to find probability of…

Q: A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just…

A: Consider that p is population proportion of headache sufferers who get relief with just two…

Q: Of the last 6 trains to arrive at Westminster Station, 3 were on time. What is the experimental…

A: There are totally 6 trains to arrive at Westminster Station in which 3 were on time.

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.