A drug tester claims that a drug cures a rare skin disease 85% of the time. The claim is checked by testing the drug on 100patients. If at least 82 patients are cured, the claim will be accepted.Find the probability that the claim will be rejected assuming that the manufacturer's claim is true. Use the normal distribution toapproximate the binomial distribution if possible....The probability is|. (Round to four decimal places as needed.)Ch1Get more help -Clear allCheck answer

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose that the speed at which cars go on the freeway is normally distributed with mean 78 mph and standard deviation 6 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. b. If one car is randomly chosen, find the probability that it is traveling more than 76 mph. __________c. If one of the cars is randomly chosen, find the probability that it is traveling between 77 and 80 mph. ___________d. 60% of all cars travel at least how fast on the freeway?_____________ mph.
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A professor knows that her statistics students' final exam scores have a mean of 80 and a standard deviation of 12.2. In her class, an "A" is any exam score of 90 or higher. This quarter she has 25 students in her class. What is the probability that 7 students or more will score an "A" on the final exam?Hint: You will need to use your knowledge of normal probability distributions to determine the probability of one individual getting an A and then use your knowledge of binomial distributions to determine the probability of 7 students or more out of 25 students getting an A.prob = ____________Report your final answer accurate to 4 decimal places. Do not round any of the numbers in this calculation until the very end of the problem!
A drug tester claims that a drug cures a rare skin disease 70% of the time. The claim is checked by testing the drug on 100 patients. If at least 65 patients are cured, the claim will be accepted. Find the probability that the claim will be rejected assuming that the manufacturer's claim is true. Use the normal distribution to approximate the binomial distribution if possible. The probability is . (Round to four decimal places as needed.)
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