It has been determined that 5% of cars checked at PepBoys have faulty brakes and 10% of cars checked have suspension problems. In addition, it has been observed that the two are independent from one another. If a mechanic checks five cars at random: Calculate the probability that exactly three of the cars have any one of the two problems:

Q: If there are 20 women waiting on a line to win basketball tickets, and the probability of a man…

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Q: A survey showed that 75% of adults need correction for their eyesight. If 8 adults are randomly…

A: Given that 75% of adults need correction for their eyesight. There are 8 adults in the study. Let us…

Q: Starbucks has found that 26% of customers purchase more than one cup of coffee per day from their…

A: Let p be the proportion of customers purchase more than one cup = 0.26 total number of days…

Q: Suppose a math class contains 44 students. There are 23 females (four of whom speak Spanish) and 21…

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Q: Q. 1 It is estimated that 40% of emails are spam emails. Some software has been applied to filter…

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Q: If math. Professor receives on average of 5 e-mail messages per day from Students, then the…

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Q: Consider the midterm and final for a statistics class. Suppose 13% of students earned an A on the…

A: Solution: It is given that 13% of students earned an A on the midterm.  P(midterm =A) = 13% = 13/100…

Q: Suppose a math class contains 26 students. There are 11 females (six of whom speak Spanish) and 15…

A: Given that  Total students =26 Females =11 Male =15 Given information is 6 females speak Spanish out…

Q: A coin is about to be tossed multiple times. Assume the coin is fair, this is, the probability of…

A: Solution: n = 6p = 0.5q = 1 - p = 1 - 0.5 = 0.5 1/3 rd of 6 tosses = 1/3*6 = 2

Q: The USDA reports that 31% of four-member households spend less than $100 per week on groceries.…

A: Given p=31%=0.31 n=600 Here, the sample size is large. Hence, we can use normal approximation.…

Q: During an industrial visit to a food manufacturing company, the probability of producing neither…

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Q: The average number of calls received by an operator is 10 calls per day. Find the probability that…

A: Given that  The average number of calls received by an operator is 10 calls per day. Find the…

Q: Suppose that John Q. Basketballplayer has made 8.9% of his previous free throw attempts.  What is…

A: Let X be the random variable from binomial distribution with probability (p) = 8.9% = 0.089 and…

Q: Smith is a weld inspector at a shipyard. He knows from keeping track of good and substandard welds…

A: It is given that p = 0.05 and n =300.

Q: Suppose 10% of the people who are given a certain drug experience dizziness as a side effect.  If 15…

A: Solution: Let X be the number of people will become dizzy and n be the sample number of people. From…

Q: Suppose a county's recent health report gives a pet allergy prevalence of 0.23 for kids. There is a…

A: Given, P ( pet allergy) = 0.23 P ( no pet allergy) = 1 - P (pet allergy) = 1 - .23 = 0.77 P (no pet…

Q: The proportion of male students at SIBT is known to be 65%.  Assume students are randomly assigned…

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Q: Suppose that we know that 33.8% of the people born in the United Sates between 1936 and 1951 have…

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Q: In a classroom of 27 students, there are 17 girls and 10 males. Mr. Stover wants to randomly select…

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Q: If you were to drop 1000 balls out of the chute on a 10 row, 11 compartment probability machine,…

A: In the given case we need to make some assumptions. First, we assume that each compartment of the…

Q: Time until no symptoms < 3 months 3 to 6 months 6 to 12 months Drug 1 22 54 30 Experimental group…

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Q: In a clinical trial, 3% of the patients in the study experienced fatigue as a side effect. Suppose…

A: Given that  n=20 , p=3%=0.03 , q=1-p=1-0.03=0.97 X~Binomial(n=20 , p=0.03) X=Number of the patients…

Q: t has been found that one out of every ten people who visit a retail website make a purchase worth…

A: Given : It has been found that one out of every ten people who visit a retail website make a…

Q: To reduce laboratory costs, water samples from five public swimming pools are combined for one test…

A: Given,Sample size, n = 5Probability of finding bacteria in a public swimming area = 0.004That is,…

Q: The analyst determines that the probability of sales exceeding 150,000 was 0.331, the probability of…

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Q: There are declining levels of cooperation among persons contacted in surveys and this brings…

A: Total = 368 people Number of people in 22-29 age bracket = 276 Number of people who agree to respond…

Q: Dr. Szyslak is a very difficult statistics professor. Only 55% of students who take his class pass.…

A: Binomial distribution : If random variable X follows Binomial distribution with number of…