Lec:3 Binomial Distribution Probability in Statistics| problem 5.5, 5.6 & 5.7

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Welcome to our latest video on Binomial Distribution Probability & Statistics! In this episode, we dive into problems 5.5, 5.6, and 5.7, providing clear explanations and step-by-step solutions. Whether you're a student or just a statistics enthusiast, this video will help you understand these concepts better.
Problem 5.5 According to Chemical Engineering Progress (November 1990), approximately 30% of all pipework failures in chemical plants are caused by operator error.
(a) What is the probability that out of the next 20 pipework failures at least 10 are due to operator error. b) What is the probability that no more than 4 out of 20 such failures are due to operator error. (c) Suppose, for a particular plant, that out of the random sample of 20 such failures, exactly 5 are due to operator error
Problem 5.6 According to a survey by the Administrative Management Society, one-half of U.S. companies give employees 4 weeks of vacation after they have been with the company for 15 years. Find the probability that among 6 companies surveyed at random, the number that give employees 4 weeks of vacation after 15 years of employment is
(a) anywhere from 2 to 5;
(b) fewer than 3.
Problem 5.7: One prominent physician claim that 70% of those with lung cancer are chain smokers. If his assertion is correct,(a) find the probability that of 10 such patients recently admitted to a hospital, fewer than half are chain smokers. (b) find the probability that of 20 such patients recently admitted to a hospital, fewer than half are chain smokers
Course: Probability & Statistics
Topic: Binomial Distribution Probability in Statistics
Probability & Statistics for Engineers and Scientists, by Walpole chapter: *******************************************
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