) A human resources director for a large corporation claims that of the 97 employees on a typical day, only 90 arrive to work on time. (a) If we take a random sample of 2 employees, what's the probability that both of them arrive on time? (b) If we take a random sample of 2 employees, what's the probability that neither of them arrive on time?

Q: Suppose a bag contains two coins, one coin is fair, and the other is a two-headed coin (heads on…

A: E1: Fair coin  P(E1) = 0.5 E2: Biased coin   P(E2) = 0.5 A: All three tosses are head P(A|E1) = 0.5…

Q: Suppose that a pond contains 50 fish of which 30 are redfish. If we catch 10  with replacement,…

A: 30 of 50 fishes in the pond is redfish. So, probabiility of getting a redfish = 30/50 = 0.6. Hence…

Q: A truth serum has the property that 90% of the guilty suspects are properly judged while, of course,…

A:

Q: In a certain college, 33% of the physics majors belong to ethnic minorities. If 10 students are…

A: Given Data: The probability that the student belongs to ethnic minorities is: p=33%=0.33 The total…

Q: A random sample of adults that arrive late to work found that 50% of the time was because of rain,…

A: It is given that, The probability that adults arrive late due to rain is = P(rain) = 0.50 The…

Q: 18. One of the findings of a group of marketing research students is that 47% of working mothers…

A: Here the above situation follows Binomial distribution with parameters n=40 and p=0.47

Q: If 1% of an airline’s flight suffers a minor equipment failure in an aircraft, what is the…

A: From the provided information, 1% of an airline’s flight suffers a minor equipment failure that is p…

Q: A basket contains 80 potatoes, 6 of which are spoiled. If a sample of 3 is drawn and not replaced,…

A: Let G - good potato B - spoiled potato Given : 80 potatoes, 6 of which are spoiled That is, 74 are…

Q: In a certain​ country, the true probability of a baby being a boy is 0.514. Among the next eight…

A: Given: p(B)=0.514 The probability of being a girl is determined as p(G)=1-p(B)=1-0.514=0.486 n=8 X=…

Q: A university bookstore claims that 50% of its customers are satisfied with the service and their…

A: The probability that in a random sample of 600 customers, less than 45% are satisfied is, Thus, the…

Q: A group of students consisting of 20 males and 20 females were selected to participate in a research…

A: Solution: From the given information, there are 20 males and 20 females. Total number of students is…

Q: 2. A box contains 4 red and 5 green balls. Two balls are selected at random and discarded without…

A: Number of red balls: 4 Number of green balls: 5 Let GG, RG and RR be the events that the discarded…

Q: In a class of 2525 students, 3553​ of the class are boys, 2552​ of the class have ​blonde hair, and…

A: It is given that 3/5 of class are boys, 2/5 of class have blonde hair, and 1/5 of the class are boys…

Q: A machine that manufactures automobile parts produces defective parts  14% of the time. If 9 parts…

A: Given that, Probability, p = 14% = 0.14 Sample size, n = 9

Q: A corporation receives 120 applications for positions from recent college graduates in business.…

A: Given: p=0.4 n=120

Q: An insurance company rents 35% of the cars for its customers from agency I and 65% from agency II.…

A:

Q: At a local CVS pharmacy, 85% of the customers have a CVS card. In a random sample of 5 customers,…

A: The provided information is: Probability of a Customer would have CVS card (p)=0.85 Consider that X…

Q: 2. Suppose that 5 percent of men and 0.25 percent of women are color-blind. A color-blind person is…

A: Probability is the chance of occurrence of observation can involve in the sample or event with equal…

Q: A manufacturer of automobile tires report that among a shipment of 5000 sent to a local distributor,…

A: We can pick 3 blemished tires from 1000 blemished tires in 1000C3 ways. We can select (10-3)=7…

Q: In a recent poll, 23% of the respondents supported candidate A, 19% supported candidate B, 13%…

A: Introduction: The total sample size is n = 7. Denote x1, x2, x3, and x4 as the number of sampled…

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

A: Total number of candidates = 9, minority candidates = 3.

Q: A box contains 8 batteries, 3 of which are defective. What is the probability that, if a sample of 5…

A: Given that a box contains 8 batteries, 3 of which are defective.  Sample size = 5

Q: What is the probability that a waitress will refuse to serve alcoholic beverages to only 2 minors if…

A: It is been asked to find the probability that a waitress will refuse to serve alcoholic beverages to…

Q: A committee of 8 members is to be formed from a group of 8 men and 8 women. If the choice of…

A: Number of men=8 Number of women=8 The objective is to form a group of 8 members with half of these…

Q: A machine that manufactures automobile parts produces defective parts 15% of the time. If 8 parts…

A:

Q: n a lot of 25 molded parts there are 5 that are defective, if 3 are selected at random and without…

A: To find the probability that the three parts are defective:

Q: - contains 7 light bulbs of which 4 are defective, and box B contains 6 light bu ght bulbs are…

A: Please refer to the image below

Q: In a class of 25 students, 3/5​ of the class are boys, 2/5of the class have ​blonde hair, and 1/5​…

A: We have to find given probability.

Q: If new cases of West Nile in New England are occurring at a rate of about 2 per month, then what’s…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Twelvejurors are randomly selected from a population of 4 million residents. Of these 4 million​…

A: Proportion is almost similar to the concept of probability. Proportion is a fraction of population…

Q: A committee of 8 members is to be formed from a group of 8 men and 8 women. If the choice of…

A: Here , we have to form a committee of 8 members out of 16 people, including 8 men and 8 women . we…

Q: In a certain​ country, the true probability of a baby being a girl is 0.485. Among the next seven…

A:

Q: ertain blood test is 99.5% effective at detecting Foreign Bloodborne Pathogens (such as the…

A: Lets denote p be the probability  that a randomly selected person who take certain test  correctly…

Q: box containing a dozen of capacitors contains 4 that are defective. If 3 capacitors are selected at…

A: # Given; nonof capacitors =12  nonof defective=4  to find probability of atleast one out of 3…

Q: A bag contains 7 coins, of which 3 are fair; the remaining coin has a head on both sides. If a coin…

A: Concept of probability: Probability deals with the likelihood of occurrence of a given event. The…

Q: andomly selected from a population of 4 million residents. Of these 4 million​ residents, it is…

A: a). Given: x=2n=12 The formula for proportion is,p=x/n The calculations for the proportion is as…

Q: Box A contains 8 items of which 3 are defective, and box B contains 5 items of which 2 are…

A: Solution To find the probability we will use conditional probability formula and total probability…

Q: A class consists of 28 males and 52 females . If the professor selects names from the class list…

A: Given information- We have given that a class consists of 28 males and 52 females. Total students =…

Q: Suppose that 50% of American adults have attended a college for at least one semester. If we select…

A: Given data, p=50%=0.50 n=400 P(X>300)=?

Q: From a sack of fruit containing 10 oranges, 4 apples, and 6 bananas, a random sample of 8 pieces of…

A:

Q: One-fourth of the female freshmen entering a Virginia College are out-of-state students. If the…

A: Binomial distribution is given by

Q: For a particular species of wolf, 48% are female, 30% hunt in medium-sized packs, and 10% are both…

A: Conditional probability formula : P(A | B) = P(A n B) /P(B)

Q: If two gloves are selected at random from the box, with replacement, what is the probability that a…

A: Simple random sampling (SRS) is a method of selection of a sample comprising of n number ofsampling…

Q: In a large population, 65 % of the people have been vaccinated. If 4 people are randomly selected,…

A: Given, Probability that the people have been vaccinated (p)=0.65 Sample size (n)=4 Lex x be the…

Q: A sample of 76 items manufactured by a machine contains 13 defective items and the rest are…

A: Total number of items, N = 76 items Total number of defectives , K = 13 defective items Sample Size…

Q: A group of students consisting of 20 males and 20 females were selected to participate in a research…

A: Obtain the probability that the fourth student selected will be a male.   The probability that the…

Q: In a certain country, the true probability of a baby being a girl is 0.488. Among the next six…

A: Probability of a baby being a girl is 0.488. Probability of a baby being a boy is 0.512.

Q: 2. In a class of 29 students, 15 like Social Studies and 21 like Math. If 14 of them like both…

A: As per our guidelines we are suppose to answer only one question 2)GivenTotal no.of students =…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.