the person who has flu 1s vaccl. 5 Record of an electrical shop shows that 75% of the customers who visited the shop were females. 60% of the female customers made a purchase whereas only 15% of the males made a purchase. What is the probability that a customer who made a purchase is a female?

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: Once a woman won​ $1 million in a​ scratch-off game from a lottery. Some years​ later, she won​ $1…

A: Let A be the win in first game Let B be the win in second game

Q: Once a woman won​ $1 million in a​ scratch-off game from a lottery. Some years​ later, she won​ $1…

A: a. P(winning in 1st game )×Pwinning in 2nd  game=14200000×1705600=3.374365619×10-13

Q: The owner claims that 1 in 10 ice cream cones will leak due to improper storage of the cones. What…

A: It is given that 1 in 10 ice cream cones will leak due to improper storage of the cones. Hence, The…

Q: Suppose you manage the demand for a towing company in Little Rock, Arkansas. On a usual day your…

A: Here Given Company gets five request Per day So Here we can Use Poisson distribution

Q: A certain group of women has a 0.37 ​% rate of​ red/green color blindness. If a woman is randomly​…

A: The probability of compliment of an event A, is defined as P(A’) = 1 – P(A).

Q: It has been found that 1 out of every 10 people who visit a local store purchasecigarettes. If we…

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

Q: the company figures that the probability of the house being burned down by fire is 0.005, what will…

A: Given that an insurance company insures a house worth P4,500,000 for an annual premium of P25,000.

Q: Once a woman won​ $1 million in a​ scratch-off game from a lottery. Some years​ later, she won​ $1…

A: The number of participant in first lottery is 4.2 millions. The number of participant in second…

Q: It has been found that 1 out of every 10 people who visit a local store purchase cigarettes. If we…

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

Q: According to the June issue of Consumer's Digest, census figures show that in 1978 almost 53% of all…

A:

Q: A recent survey found that 70% of all adults over 50 wear sunglasses for driving. In a random sample…

A:

Q: To avid detection at customs, a traveler places 6 narcotic tablets in bottle containing 9 vitamin…

A:

Q: About IO percent of the population is left-handed. Ofthose who are right-handed, about 40 percent…

A: Multiplication Rule:Multiplication rule for two dependent events A, and B is given by:

Q: On average, five birds hit the Washington Monument and are killed each week. Bill Garcy, an official…

A: Five birds hit the Washington Monument and are killed on average, each week. Funds will be allocated…

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

A:

Q: Two unfair coins, both favoring heads, are tossed simultaneously for many trials, with the results…

A: It is given that Number of times two head occurs = 63 Number of times one head and one tail occurs =…

Q: c) Suppose that, on average, telephone calls arrive at large switchboard at the rate of two per…

A:

Q: Suppose you manage the demand for a towing company in Little Rock. On a usual day your company gets…

A:

Q: The air conditioner of 2 out of 10 cars in a car dealership is faulty. For a company that buys 4 of…

A: Giventhe air conditionerof 2 out of 10 carsis…

Q: The first product of a test run was inspected and found to be non-defective. What is the probability…

A: Let us define some events A : the machine is correctly tuned. B : the machine is not correctly…

Q: A liquor store owner is willing to cash personal checks for amounts up to $50, but she has become…

A: Let A1, A2, ... , An be n mutually exclusive and exhaustive events with P(Ai) > 0 for all i = 1,…

Q: As part of a promotional campaign, a store is offering a free Fitbit with the purchase of the new…

A: Let A denote the event that iPhone are faulty  Let B denote the event that Fitbits are faulty The…

Q: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces.…

A:

Q: Inside the wrapper of a certain candy bar, there is a 1 in 10 chance to win a prize. Suppose you buy…

A:

Q: According to a study published in a reputable science​ magazine, about 8 women in​ 100,000 have…

A: We have given that  P(C)=0.00008 P(test pos|C)=0.89 Find P( test pos and C)

Q: On any given work day, Lillian notices that as she’s driving to school, she is first stopped by a…

A: Let T denote Train and R denote Red light. Given: PR=0.70PT=0.40 Stopped by red light and train are…

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

A: Given: n=13 p=210=0.2

Q: The manager of the Fore and Aft Marina in the previous problem wants to investigate the possibility…

A: Given :  The manager of the Fore and Aft Marina in the previous problem wants to investigate the…

Q: On average, under standard inspection, one in every 100 slaughtered chickens passes state inspection…

A: It is given that an average, one in every 100 slaughter chickens passes state inspection, even…

Q: It has been found that 1 out of every 10 visitors to a museum buys something from the gift shop. If…

A:

Q: You toss a biased coin with a probability p of heads, while your friend tosses at the same time a…

A: Let us define the event A as both coins simultaneously show the same outcome. That is either both…

Q: A flu test shows that about 31% of all patients visited the hospital. Suppose that 90 patients…

A:

Q: The CDC knows from past studies that 23 out of every 100 children from a local community have not…

A: We have to find given probability.

Q: Suppose that in the small state of Rhode Island in the USA, the average number of women suffering…

A:

Q: A certain group of women has a 0.29​% rate of​ red/green color blindness. If a woman is randomly​…

A: Given, A certain group of women has a 0.29​% rate of​ red/green color blindness. Let P(A) = 0.29% =…

Q: Given that he arrives on City D on the train he hoped to catch, what is the probability he does so…

A: Given : Professor has to travel from A-D The routes would be : A-B, B-C, C-D For the routes A-B,…

Q: A survey of families revealed that 58% of all families eat turkey at holiday meals, 44% eat ham, and…

A:

Q: The proportions of blood phenotypes A, B, AB, and O in the population of all Caucasians in the…

A: From the provided information, P (A) = 0.40, P (B) = 0.11, P (AB) = 0.04 and P (O) = 0.45

Q: Given that 20 books in a shipment of 200 books contain misprints, and you buy three of them. What is…

A:

Q: The grades of a freshman college class, obtained after the first year of college, were analyzed.…

A: Percentage of students In top quarter is 70%. College class had graduated in the upper 10% of their…

Q: About 8% of the U.S. population catches the flue each season. Assuming everyine h?as equal…

A: The formula for calculating odds is given below:

Q: A manufacturer of bicycles produces 80 per cent of its output in its New York factory and the rest…

A:

Q: Upon analyzing the cash register receipts of a large department store over an extended period of…

A: let x be the no of customer pay using credit card follow binomial distribution with(n=5 and p=0.3)…

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: An oil company conducts a geological study that indicates that an exploratory oil well should have a…

A: Given: p = 0.2 q = 1 - p = 1 - 0.2 = 0.8 and  r = 3

Q: (a) What is the probability that the vaccine selected is an outdated one? (b) If the vaccine…

A: Here define events and draw tree diagram  Here use Bayes theorem

Q: Within the general population in the 21st century, the chances of having twins are about 3 in 100…

A: Given Information: Let A be the event of getting a couple with twin baby. Let B be the event getting…

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.