ASK YOUR TEACHER PRACTICE ANOTHER Suppose that x has a binomial distribution with n = 50 and p = 0.6, so that u = np = 30 and o = Vnp(1 - p) = 3.4641. Approximate the following probabilities using the normal approximation with the continuity correction. (Hint: 24 < x < 36 is the same as 25 s XS 35. Round your answers to four decimal places.) (a) P(x = 30) 0.1114 (b). P(x = 24) (c) P(x s 24 (d) P(24 s xs 36) (e) P(24 < x < 36)
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- Suppose that 16% of the population of the U.S. is left-handed. If a random sample of 200 people from the U.S. is chosen, approximate the probability that fewer than 35 are left-handed. Use the normal approximation to the binomial with a correction for continuity. Round your answer to at least three decimal places. Do not round any intermediate steps. (If necessary, consult a list of formulas.) 0 XCan the Normal approximation to the binomial be used when n=20 and p=0.8?suppose x has an exponential distribution with B=1/8 , then P(X>1)
- ANSWER COMPLETELY FOR UPVOTESuppose X has an exponential distribution with mean equal to 12. Determine the following: (a) P(X > 10) (Round your answer to 3 decimal places.) (b) P(X > 20) (Round your answer to 3 decimal places.) (c) P(X < 30) (Round your answer to 3 decimal places.) (d) Find the value of x such that P(XSuppose that 12% of the population of the U.S. is left-handed. If a random sample of 190 people from the U.S. is chosen, approximate the probability that at most 24 are left-handed. Use the normal approximation to the binomial with a correction for continuity. Round your answer to at least three decimal places. Do not round any intermediate steps.Suppose that 0.7% of male professional golfers use steroids, and that Max is a male professional golfer who has been randomly selected to take a drug test. The test he has been asked to take has a false positive rate of 1% and a false negative rate of 10%. Use Bayes’ rule to calculate the probability that Max actually uses steroids if he tests positive for steroid use. Give your answer as a decimal precise to three decimal places.Suppose that 10% of the population of the U.S. is left-handed. If a random sample of 134 people from the U.S. is chosen, approximate the probability that at most 16 are left-handed. Use the normal approximation to the binomial with a correction for continuity. Round your answer to at least three decimal places.parts of question 7. solve A-E A. Compute P(X = 3) for n = 5, p = 1 B. Ken is a waiter at a restaurant. His customers tip 15% or more 80% of the time. Find the probability that four of the next six customers will tip 15% or more? C. Find the z-score if x = 2.65, mean = 0, σσ = 1.0. D. An IQ test has a mean of 100 and standard deviation of 15. Find what percentile is someone who scored a 122 on an IQ score? E. A normal distribution has a mean of 168 and a standard deviation of 10. Find the percentage of scores that fall between 155 and 169.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.…Consider the curve below 0.2- 1 2 3 4 5 6 Find the probability that x < 2 P (x < 2) =For a binomial probability distribution, n = 150 and p = 0.60. Let x be the number of successes in 150 trials. a. Find the mean and standard deviation of this binomial distribution. p = i and o? = i b. Find to 4 decimal places P(xs 68) using the normal approximation. P(xs 68) = i c. Find to 4 decimal places P(67Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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