1. A student is trying to hitch a lift. Cars pass at random intervals, at an average rate of 1 per minute. The probability of a car giving a lift is 1%. What is the probability that the student will still be waiting: (i) after 60 cars have passed? (ii) after 1 hour?

Q: 19. Suppose mass-produced needles are packed in boxes of 1000. It is believed that 1 needle in 2000…

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Q: 27. The time it takes me to wash the dishes is uniformly distributed between 11 minutes and 18…

A: It is given that the time it takes to wash the dishes is uniformly distributed between 11 minutes…

Q: If the probability that an individual moves outside of their county of residence in a given year is…

A: Given information- We have given a problem of binomial distribution. We have given that the…

Q: Suppose we observe 84 alcoholics with cirrhosis of the liver, of whom 29 have hepatomas—that is,…

A:

Q: 1. Suppose that the daily fuel consumption of a truck made in Canada is uniformly distributed…

A: Given information: X~U0, 60

Q: An archer hits a bull’s-eye with a probability of 0.09, and the results of different attempts can be…

A:

Q: 2. The flight time for an airplane traveling from Muscat to Dubai is uniformly distributed between…

A: (a)  Since uniform distribution is a continuous uniform distribution, and there exist infinite…

Q: In a population of wild flowers 53% are yellow and the remaining flowers are purple. If we took a…

A: Given p=0.53 n=263 Since np=139.39>10 and np(1-p)=65.51>10 Now, using normal approximation,…

Q: An insurance company has written 100 policies for $75,000, 500 policies for $20,000, and 1000…

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Q: A 28-year-old man pays $110 for a one-year life insurance policy with coverage of $100,000. If the…

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Q: Suppose we observe 84 alcoholics with cirrhosis of the liver, of whom 29 have hepatomas—that is,…

A: 1)   From the given information,  n=80 and the probability of success is p=0.24(24%).   Normal…

Q: . What is the probability that the amount of liquid hand soap consumed in a month per secondary…

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Q: 16. To get to work, a commuter must cross train tracks. The time the train arrives varies slightly…

A: Let X be a random variable denoting the no of times the commuter gets stopped during 5-day work…

Q: d. Based upon a smaller sample of only 150 St. Paulites, what is the probability that the sample…

A: Given Information: Population proportion of St. Paulites who drink bottled water more than once a…

Q: The average number of dropouts for a school district has been 305 per year with a standard devia-…

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Q: In the experiment of rolling a die, what is the probability of obtaining an even number given that…

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Q: 3. The ratio of adult males to adult females living in a certain town is 17:18, and of these adults,…

A: Solution

Q: What is the probability of obtaining x= 50 or more individuals with the characteristic? That is,…

A: Sample size is n = 200 Population proportion is p = 0.2

Q: Suppose we observe 84 alcoholics with cirrhosis of the liver, of whom 29 have hepatomas—that is,…

A:

Q: Suppose we observe 80 alcoholics with cirrhosis of the liver, of whom 25 have hepatomas, that is,…

A: Obtain the probability of observing at least 30 cases of hepatomas among the 80 alcoholics with…

Q: The Food Marketing Institute shows that 17%  of households spend more than $100.00  per week on…

A: Obtain the probability that the sample proportion will be within + –0.02 of the population…

Q: 8. If 30 percent of the mice used in an experiment will become very aggressive within one minute…

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Q: An assembly line at a plant produces exactly 10000 widgets a day. Suppose that approximately 1 out…

A: From the provided information, Sample size (n) = 10000 1 out of every 2000 fails a standard test and…

Q: a proportion of 0.4 are not satisfied with the service offered by the store. In a random sample of…

A: According to central limit theorem if the sample size n and population proportion p satisfies np≥10…

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A: *Answer:

Q: At a certain university, 4% of men are over 6 feet tall and 1% of women are over 6 feet tall. The…

A: Let the sequence Ai of mutually exclusive and exhaustive event in a sample space S such that…

Q: The Food Marketing Institute shows that 17% of households spend more than $100 per week on…

A: Given N=800 P=0.17

Q: 4. A parent's chance of passing a rare inherited disease on to a child is 0.25. What is the…

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Q: 2. The flight time for an airplane traveling from Muscat to Dubai is uniformly distributed between…

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Q: 3) It has been found that 20% of students who enroll in an introductory statistics class withdraw…

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Q: (ii) If it is known that the supercapacitor has been working 950 hours, what is the probability that…

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Q: 6. Suppose that 60% of the soda-drinking population favors Coca-Cola over Pepsi. Also, suppose you…

A: Here use distribution of sample proportion

Q: An ambulance service receives an average of 15 calls per day during the time period 6 p.m. to 6 a.m.…

A: Let X be the number of call an ambulance service receives per day during the time period 6 p.m. to 6…

Q: (c) A particular nuclear plant releases a detectable amount of radioactive gases twice a month on…

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Q: The probability of an accident among 200 insured in the same age group in an insurance company is p…

A: Given information: Number of individuals who insured in an insurance company, n = 200 The…

Q: An insurance company has written 50 policies for ​$125,000​, 100 policies for ​$30,000​, and 250…

A: we can find n = (50*125000+100*30000+250*10000) = 11750000

Q: 3. An oil change crew is trying to determine how long the average line for an oil change will be.…

A: Given Arrival rate =20 c/hr

Q: A man purchased a $26,000, 1-year term-life insurance policy for $375. Assuming that the probability…

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Q: An engineering school reports that 51% of its students were male (M), 33% of Type number- its…

A: P(M)=0.51 P(A)= 0.33 P(M and A)= 0.24 The general addition rule of probability is, P(M or A) = P(M)…

Q: The probability that Ms. Brown will sell a piece ofproperty at a profit of $3,000 is 3 20 , the…

A: Given,The probability of profit of $3,000 =320The probability of profit of $1,500 = 720The…

Q: 1. The time it takes for Anna to travel between her home and her job is uniformly distributed…

A: Given that  X~Uniform(40,90) Note: According to bartleby experts question answers guidelines an…

Q: A contractor is considering a sale that promises a profit $26000 with a probability of 0.7 (due to…

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Q: Suppose we observe 84 alcoholics with cirrhosis of the liver, of whom 29 have hepatomas—that is,…

A:

Q: 9. Finally--if someone loses 17 points after 60 rolls, how unlucky are they? That is, what is the…

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Q: Suppose we observe 84 alcoholics with cirrhosis of the liver, of whom 29 have hepatomas—that is,…

A: Giventhe risk of hepatoma among alcoholics without cirrhosis of the liver is 24%. a)True rate of…

Q: Suppose we observe 84 alcoholics with cirrhosis of the liver, of whom 29 have hepatomas—that is,…

A: Obtain the probability that one observes exactly 29 alcoholics with cirrhosis of the liver who have…

Q: (1) (iii) the expected number of adults are not having side effects? the probability that more than…

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Q: A robber is thinking of committing  a robbery. He has a 0.5 probability of obtaining $2500 and a 0.5…

A: Given information: In a robbery, let X be the amount obtained on committing a robbery. The…