A machine that manufactures automobile parts produces defective parts 15% of the time. If 8 parts produced by this machine are randomly selected, what is the probability that fewer than 3 of the parts are defective? Carry your intermediate computations to at least four decimal places, and round your answer to two decimal places.

Q: A fair die is rolled four times. What is the probability of obtaining no 2​'s?

A: Given a fair die rolled four times.

Q: Suppose that the New England Colonials baseball team is equally likely to win a game as not to win…

A: Given that the New England Colonials baseball team is equally likely to win a game as not to win it.…

Q: A new surgery is successful 80 percent of the time. If the results of 9 such surgeries are randomly…

A: P =Probability of successful surgery and x=no of successful surgerys.  given, P=0.08              n…

Q: A manufacturer of window frames knows from past experience that 10 per cent of the production will…

A: Let X be the random variable from binomial distribution with probability (p) = 10% = 0.10 and sample…

Q: A new surgery is successful 80% of the time. If the results of 7 such surgeries are randomly…

A: The percentage of of the successful surgeries is 80%. 7 surgeries are randomly selected. Let X be…

Q: In a large population, 55 % of the people have been vaccinated. If 3 people are randomly selected,…

A: Probability that people have been vaccinated = 55% = 0.55 Sample size, n = 3

Q: A factory received a shipment of 15 capacitors, and the vendor who sold the items knows there are 8…

A: b) He can choose any 6 capacitors from 15 capacitors  in 15C6=5005 ways   He can choose 4 defective…

Q: In a batch of 1960 calculators, there are, on average, 10 defective ones. If a random sample of 147…

A: We have given that,  Let X be the number of defective units from binomial distribution and sample…

Q: A machine that manufactures automobile parts produces defective parts 15% of the time. If 10 parts…

A: Given : P = 0.15 n = 10

Q: A company that produces fine crystal knows from experience that 17% of its goblets have cosmetic…

A: Given information- Let x denotes the number of seconds in the sample. If event of finding seconds is…

Q: On average, an IRS auditor discovers 4.7 fraudulent income tax returns per day. On a randomly chosen…

A: It is given that; the auditor discovers 4.7 fraudulent income tax returns per day.Thus, the random…

Q: The manager of Toy World has decided to accept a shipment of electronic games if none of a random…

A: Given, (a) P(X=0), n=20, p=0.14 now, the probability that he will accept the shipment if 14% of the…

Q: Suppose that the New England Colonials baseball team is equally likely to win a game as not to win…

A: Given that the New England Colonials baseball team is equally likely to win a game as not to win it.…

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

A:

Q: A machine that manufactures automobile parts produces defective parts 11%of the time. If 8 parts…

A:

Q: In a large population, 64 % of the people have been vaccinated. If 5 people are randomly selected,…

A: Probability = 64% = 0.64 Sample size, n = 5

Q: A firm has two computer systems available for processing telephone orders. At any given time, system…

A: It is given that the probability of system A being down is 0.10. Also the probability of system B…

Q: A group of realtors estimates that 23% of all homes purchased last year were considered investment…

A: It is given that 23% of all homes purchased last year were considered investment properties.

Q: A machine that manufactures automobile parts produces defective parts 16 % of the time. If parts 8…

A: Consider success as the event that the automobile part is defective. Hence, p=P(Success)= 0.16. Let…

Q: In a small private​ school,6 students are randomly selected from 11available students. What is the…

A: We have 11 students out of which we have to select the 6 students and then find the probability that…

Q: In a large population, 52 % of the people have been vaccinated. If 5 people are randomly selected,…

A:

Q: Find the probability that a lot of 100 items, of which five are defective, will be accepted in a…

A: Here, Total number of items in a lot, N = 100 Number of defective items, x = 5 Sample size, n = 50…

Q: On average 1 out of every 10 radiator caps leaks right out of the box. What is the probability that,…

A:

Q: A new surgery is successful 80% of the time. If the results of 8 such surgeries are randomly…

A:

Q: Suppose that the New England Colonials baseball team is equally likely to win a game as not to win…

A: It is given that the winning of a game is equally likely. Let the variable X be the number of games…

Q: new surgery is successful 80% of the time. If the results of 8 such surgeries are randomly sampled,…

A: Formula : Binomial distribution is given by

Q: The research department of a commercial bank estimates that the 5% of its loans will go into…

A: Given: Proportion of default loans estimated by research department  (θ) = 0.05 Number of customers…

Q: A machine that manufactures automobile parts produces defective parts 15% of the time. If 6 parts…

A:

Q: A pharmaceutical company knows that approximately 5% of its birth- control pills have an ingredient…

A: Given: Sample size, n=200 Probability of ineffective pills, p= 0.05

Q: A machine that manufactures automobile parts produces defective parts 15% of the time. If 6 parts…

A:

Q: A new surgery is successful  75%  of the time. If the results of  6  such surgeries are randomly…

A:

Q: A fair die is rolled five times. What is the probability of obtaining at least four 3​'s?

A:

Q: A new surgery is successfully 85% of the time . If the results of 7 such surgeries are randomly…

A: Given that new surgery is successful 85% of the time. P(Success)=0.85 n=7

Q: According to police sources, a car with a certain protection will be recovered 90% of the time. If…

A: Introduction:Consider the event of recovering a stolen car with the protection as a “success”.For a…

Q: Suppose 50% of the registered voters in a country are Republican if a sample of 598 voters is…

A: Given

Q: A fair die is rolled four times. What is the probability of obtaining at least three 4​'s?

A: At least three means 3 or 4 Let X= number of times 4 comes n=total number of trials=4 p=probability…

Q: A new surgery is successful 70% of the time. If the results of 9 such surgeries are randomly…

A: The provided information is  p=0.70 n=9 X~B(n=9,p=0.70) The binomial probability distribution is…

Q: A new surgery is successful 70% of the time. If the results of 9 such surgeries are randomly…

A: Solution

Q: A factory received a shipment of 15 capacitors, and the vendor who sold the items knows there are 8…

A: Given ,      The probability of defective capacitors = 815     i.e P = 815 = 0.533a) ut 'x' be the…

Q: In a certain population of people, 72% of the people have brown eyes and 28% of the people have blue…

A: Given, P(brown) = 0.72 P(blue) = 0.28

Q: An IRS auditor randomly selects 3 tax returns fro 49 returns of which 6 contain errors. What is the…

A: given data   6 - contain errors 43 - error free ____________________ 49 - total returns filled

Q: A machine that manufactures automobile parts produces defective parts 13% of the time. If 8 parts…

A:

Q: A factory received a shipment of 15 capacitors, and the vendor who sold the items knows there are 8…

A: Given, A factory received total 15 capacitors In that there are 8 capacitors are defective

Q: A new surgery is successful 85% of the time. If the results of 7 such surgeries are randomly…

A: It is given that n is 7 and the probability of success p is 0.85.

Q: Suppose that one third of the new buildings in Centra City are in violation of the building code. If…

A: Let us denote X=the number of building that violate of the building coden=sample size=5p=probability…

Q: If 8 adults are randomly selected, the probability that exactly 2 of them do not require a vision…

A: here use binomial distribution Each trial is independent Finite number of trial There are two…

Q: A manufacturer of bottles knows that 2% of its bottles are defected. If one selects 4 bottles…

A: Given Data : 2% of its bottles are defected                      One bottle is selected from 4…

Q: A safety engineer claims that only 30% of all workers wear safety helmets when they eat lunch at the…

A: The Probability mass function for Binomial distribution is given by                     P(X=x)=ncx…

Q: A group of realtors estimates that​ 23% of all homes purchased last year were considered investment…

A: Givenp=0.23n=800x~Binomial(n=800,p=0.23)

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.