2 Universal Temps is recruiting for people to work at 5 call centres, and there are 10 applicants. Assume that all call centres have at least 10 vacancies. (a) In how many ways can the new staff be allocated at random? (b) If allocation is random, what is the probability that at least one new staff member is assigned to each call centre?

Q: 2. A large corporation determines that 20% of its employees leave the company taking up an offer…

A: Given Data : P =20% =0.2 q = 1-p = 1-0.2 = 0.8 n = 16

Q: 1. How many people must be selected to make sure that at least 20 of them were born in the same…

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

Q: A manufacturing process for computer chips is such that 5 out of 100 chips are defective. If 10…

A: As given that there are 5 chips are defective from 100 chips. So, number of chips that are in good…

Q: A company has just received a shipment of 100 computer chips, of which 20 are actually defective.…

A: A company has just received a shipment of 100 computer chips, of which 20 are actually defective.…

Q: Approximately 19% of people are left-handed. If two people are selected at random, what is the…

A:

Q: . A jury of 12 people is chosen for a trial. The defense attorney claims it must have been chosen in…

A: Givensample size(n)=12p=0.50Let "x" be the jury would have…

Q: 2. The Slaughter Meat Company has 60 employees. Fifteen are member of the United Slicers Union, 35…

A: Given, Total Number of employees = 60 Number of employees from United Slicers Union  = 15 Number of…

Q: 60% of the used cars in the local market of Suhar are from local agencies, and the remaining are…

A: Let W = Cr is white in color. L = Car is from local agencies N = Car is from neighboring country.…

Q: 7. In a certain box there are 8 green marbles and 10 white marbles. Drawing a marble without…

A: 7. A bag contains 8 green and 10 white marbles. Total marbles are 18. Hence, the probability that…

Q: 1) A beg contains 10 black pens. If a pen is chosen at random from the beg, what is the probability…

A:

Q: The dean of a business school wishes to form an executive committee of 6 from among the 40 tenured…

A: Given information: Number of executive members whose committee has to be formed = 6 Number of…

Q: An area has 12 rainfall measurement stations, and it is known that 2 of them are in damaged…

A: Given that, An area has 12 rainfall measurement stations, and it is known that 2 of them are in…

Q: consider that 2% of engines produced by a factory need to be recalled. If 5 engines produced by it…

A:

Q: 3. A recent report was issued that suggested 45% of all cell phone calls in 2022 will be scams.…

A: The provided information is  n=500 p=0.45 X~B(n=500,p=0.45)   The mean and variance 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 small City, approximately 22% of those eligible are called for jury duty in any one calendar…

A: It is given that, approximately 22% of the eligible, in a small city, are called for jury duty in…

Q: 2. A deck of cards contains 20 cards: 6 red cards and 14 black cards. 5 cards are drawn randomly…

A: (2) Given Information: A deck of cards contains 20 cards: Red cards = 6 and Black cards = 14 5 cards…

Q: 3) A bag contains 14 red marbles, 15 orange marbles, and 16 yellow marbles. Suppose 10 marbles are…

A:

Q: batch of 20 toy-molded parts contain 5 parts that are deffective. if two toys are selected at…

A: Given that  Total molded parts (n) = 20 Defective species = 5 Good parts = 20-5 = 15 We know that…

Q: 13. An airline knows that 5 percent of the people making reservations on a certain flight will not…

A: 5 percent of the people making reservations; q=0.05 Policy is to sell 52 tickets for a flight Total…

Q: One-sixth of the male freshmen entering a large state school are out-of-state students. If the…

A:

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 ten light bulbs, two of which are defective. Suppose three bulbs are selected in…

A: The term probability is defined as the chance of occurrence of an event. The probability value…

Q: 7. Suppose 12% of graduates of the Architectural Engineering Technology program take a job outside…

A: This is a Simple Binomial Probability distribution with n=2 and p=0.12

Q: Three professors administer a common exam without technical problem to their classes of 40 students…

A:

Q: a factory produces fuses, which are packaged in boxes of 12. three fuses are selected at random from…

A: The fuses are packaged in 12 boxes.

Q: A bank executive is presented with loan applications from 10 people. The profiles of the applicants…

A: Given: Population size is N=10. Random sample size is n=6. Number of success is S=5. Determine the…

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: 8. Suppose that a cargo container at the port containing 25 bales of cashmere yarns contains 5 bales…

A:

Q: new secretary has been given n computer passwords, only one of which will permit access to a…

A: Given, The new secretary has n computer passwords, out of which only 1 is correct. Now, a password…

Q: A group of five people are selected at random (Assume that a person is equally likely to be born on…

A: Given,Number of selected people = 5The person selected in equally likely to be born on any day of…

Q: Nine new employees, two of whom are married to each other, are to be assigned nine desks that are…

A: There are total 9 employees. We can arrange them in 1 row in 9!=362880 ways If the couple have…

Q: Six new employees, two of whom are married to each other, are to be assigned six desks that are…

A: We can consider the couple as one employ, then there are effectively 5 desks to assign. Probability…

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: 3. A professor of a law school observe that 25% of students who get admitted to the freshman class…

A: Given that a professor of a law school observe that 25% of students who get admitted to the freshman…

Q: 4. Consider a box with 10 balls and 5 sticks. Draw seven times from the box, with replacement. Draws…

A: There are 10 balls and 5 sticks in the box, total 10+5 = 15 items. Out of 15 items 10 are balls.…

Q: 1. What is the probability that two of the next three presidents of the United States will have been…

A: Probability of an event is the ratio of number of favorable outcomes to total number of outcomes

Q: 3. There are seven computers available in a computer shop wherein two of them are malfunctioning. If…

A: Obtain the probability of getting at least one of the malfunctioning computers.   The probability of…

Q: Suppose a drawer contains four red socks, five white socks, and three green socks. We draw one sock…

A: Introduction: Total number of socks in the drawer is 12 [= 4 red + 5 white + 3 green]. Since the…

Q: 4 ETS big book and 5 barrons books are arranged in a row on a shelf at random. Find the probability…

A: 4 ETS big book and 5 barrons books are arranged in a row on a shelf at random.

Q: If you are randomly sampling one at a time with replacement from a bag that contains eight blue…

A: (a) Total no. of marbles = 8+7+5 = 20 P(drawing a blue marble) =820 P(drawing a red marble) = 720…

Q: Four of the light bulbs in a box of ten bulbs are burnt out or otherwise defective. If two bulbs are…

A: Let x be the number of defective bulbs. Then, x follows binomial distribution with distribution…

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: 4. There are 20 socks in a drawer, 10 blue and 10 black. Two socks are selected at random from the…

A: As per our guidelines, we are allowed to answer first question only. Thanks   Q-4 ) There are 20…

Q: 4. It is known that 75% of the mice inoculated with a serum are protected from a certain disease. If…

A: let p be the probability who have disease.  p=1-75%=0.25  p=0.25, n=number of samples=3  X be the…

Q: From a group of 50 students at a university (10 students per year) a coordinating committee of 4…

A: Answer : - Given,   a group of 50 students at a university (10 students per year).…

Q: suppose that we have a fuse box containing 20 fuses, of which 5 are defective. If 2 fuses are…

A: Given, Total no. of fuses (T)=20 No. of defective fuses (D)=5 Therefore, No. of non-defective(good)…

Q: 9. It is estimated that 4000 of the 10,000 voting residents of a town are against a new sales tax.…

A: