The number of defective parts produced per shift can be modeled using a random variable that has the Poisson distribution. Assume that, on average, three defective parts per shift are produced. The probability that exactly four defective parts are produced in a given shift is: 0.1008 O 0.1681 O None of these O 0.224
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- Suppose that six cups of yogurt are selected at random. What is the probability that at least three cups have at least 11.5 g of protein? Give your answer to at least three decimal places. The variable Y represents the number of cups out of the six randomly‑selected cups that contain at least 11.5 g of protein? The probabilty of at least 11.5 g of protein in a cup is 0.70.Data were collected from a survey given to graduating college seniors on the number of times they had changed majors. From that data, a probability distribution was constructed. The random variable X is defined as the number of times a graduating senior changed majors. It is shown below: 1 3 4 8 P(X = x) |0.252 0.286 0.13 0.188 0.082 0.038 0.02 0.003 0.001 a. What is the probability that a randomly selected student changed his or her major at least once? b. What is the probability that a randomly selected student changed his or her major at most twice? c. Given that a randomly selected person did change majors, what is the probability that he or she changed majors more than three times? (Round your answer to three decimal places.)Suppose that the random variable x, shown below, represents the number times. P(x) represents the probability of a randomly selected person having received that number of speeding tickets during that period. Use the probability distribution table shown below to answer the following questions. 43 x P(x) = 0 1 2 3 > Next Question 4 5 6+ 0.2951 0.2587 0.1924 0.1604 a) What is the probability that a randomly selected person has received five tickets in a three-year period? P(x = 5) 0.0492 0.0442 0.0000 b) What is the probability that a randomly selected person has received one tickets in a three-year period? P(x = 1) = c) What is the probability that that a randomly selected person has received more than zero tickets in a three- year period? P(x > 0) d) What is the probability that that a randomly selected person has received one or less tickets in a three-year period? P(x ≤ 1) =
- Let X = {Email, In Person, Instant Message, Text Message}; P(Email) = 0.06 P(In Person) = 0.55 P(Instant Message) = 0.24 P(Text Message) = 0.15 Is this model a probability distribution? A. Yes. B. No. C. Maybe.Data were collected from a survey given to graduating college seniors on the number of times they had changed majors. From that data, a probability distribution was constructed. The random variable X is defined as the number of times a graduating senior changed majors. It is shown below: 1 2 3 5 6 7 8 P(X = x) 0.195 0.183 0.294 0.179 0.098 0.034 0.012 0.003 0.002 a. What is the probability that a randomly selected student changed his or her major at least once? b. What is the probability that a randomly selected student changed his or her major at most twice? c. Given that a randomly selected person did change majors, what is the probability that he or she changed majors more than three times? Check AnswerIn an election, suppose that 55% of voters support a new tax on fast food. If we poll 123 of these voters at random, the probability distribution for the proportion of the polled voters that support a new tax on fast food can be modeled by the normal distibution pictured below. Complete the boxes accurate to two decimal places.
- Suppose that the proportions of blood phenotypes in a particular population are as follows: O A B AB 0.47 0.06 0.02 0.45 Assuming that the phenotypes of two randomly selected individuals are independent of one another, what is the probability that both phenotypes are O? (Enter your answer to four decimal places.) What is the probability that the phenotypes of two randomly selected individuals match? (Enter your answer to four decimal places.)A certain virus affects 0.7% of the population. A test used to detect the virus in a person is positive 88% of the time if the person has the virus (true positive) and 13% of the time if the person does not have the virus (false positive) Fill out the remainder of the following table and use it to answer the two questions below based on a total sample of 100,000 people. a. Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest hundredth of a percent and do not include a percent sign. b. Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest hundredth of a percent and do not include a percent sign.A purchaser of electric relays buys from two suppliers, A and B. Supplier A supplies two of every three relays used by the company. If 90 relays are selected at random from those in use by the company, find the probability that at most 59 of these relays come from supplier A. Assume that the company uses a large number of relays. (Use the normal approximation. Round your answer to four decimal places.)
- The amount of time it takes for a student to complete a statistics quiz is uniformly distributed between 27 and 56 minutes. One student is selected at random. Find the probability of the following events. A. The student requires more than 52 minutes to complete the quiz. = B. The student completes the quiz in a time between 32 and 37 minutes. = C. The student completes the quiz in exactly 44.17 minutes. =Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Suppose you are an auditor for a very large corporation. The revenue report involves millions of numbers in a large computer file. Let us say you took a random sample of n = 250 numerical entries from the file and r = 60 of the entries had a first nonzero digit of 1. Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1. Test the claim that p is less than 0.301 by using α = 0.01. What does the area of the sampling distribution corresponding to your P-value look like? a. The area in the right tail of the standard normal curve. b. The area not including the right tail of the standard normal curve.…
