Week 8 PLTL Assignment 13

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University of Texas, Rio Grande Valley *

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Statistics

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Jan 9, 2024

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Week 8 PLTL Assignment 13 Name____________________________________________ 4.3: Binomial Distribution 1. A fair coin is flipped 10 times. What is the probability of obtaining a. exactly 3 heads. b. at most 3 heads. (Round your answer to three decimal places.) 2. A group of 11 students' cholesterol levels are tested. Suppose the probability of a student having a healthy cholesterol level is 0.20 . a. A binomial experiment has a fixed number of trials, n . For this experiment, what is the value of n ? What is the probability of a success? b. What is the probability that exactly six out of 11 students have healthy cholesterol levels? (Round your answer to three decimal places.) c. What is the probability that at most seven out of 11 students have healthy cholesterol levels? (Round your answer to three decimal places.)
3. Suppose that 60 % of all small business owners in a large downtown area are in favor of building a new arena. A simple random sample of 40 business owners is drawn. a. Find the mean number of those in samples of size 40 who are in favor of the new arena. b. Find the variance of the number of people in samples of size 40 who are in favor of the new arena. (Round your answer to two decimal places.) c. Find the standard deviation of the number of people in samples of size 40 who are in favor of the new arena. (Round your answer to two decimal places.) 4. A student takes a ten-question true-false quiz, but did not study and randomly guesses each answer. Find the probability that the student passes the quiz with a grade of at least 40% of the questions correct. (Round your answer to three decimal places.)
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