CXKAssume that women's heights are normally distributed with a mean given by μ = 62.6 in, and a standard deviation given by a = 2.4 in.(a) If 1 woman is randomly selected, find the probability that her height is less than 63 in.(b) If 42 women are randomly selected, find the probability that they have a mean height less than 63 in.View an example@2F2WS(a) The probability is approximately.(Round to four decimal places as needed.)XHmand#3Ask my instructor80F3EDC$4aF4RF07 dºVTG6MacBook AirBFOYH&7F7ⒸUN*831F81M(9KF9O<IH)OLF10PcommandClear all. V-...IF11{+[=Check ans?option11Show AF12}

Solution: Let X denote the women's height are normally distributed with mean μ=62.6 in and standard…

Answered: Assume that women's heights are…

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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Assume that females have pulse rates that are normally distributed with a mean of µ = 74.0 beats per minute and a standard deviation of σ = 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 80 beats per minute. The probability is ☐ . (Round to four decimal places as needed.)
Assume that females have pulse rates that are normally distributed with a mean of μ= 74.0 beats per minute and a standard deviation of σ = 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 81 beats per minute. The probability is (Round to four decimal places as needed.)
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Assume that females have pulse rates that are normally distributed with a mean of μ = 74.0 beats per minute and a standard deviation of o= 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 70 beats per minute and 78 beats per minute. The probability is. (Round to four decimal places as needed.) b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean between 70 beats per minute and 78 beats per minute. The probability is (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? A. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. B. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size. C. Since the…
Assume that females have pulse rates that are normally distributed with a mean of μ = 74.0 beats per minute and a standard deviation of σ = 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 80 beats per minute. The probability is 0.6844. (Round to four decimal places as needed.) b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 80 beats per minute. The probability is (Round to four decimal places as needed.)
Assume that females have pulse rates that are normally distributed with a mean of μ=75.0 beats per minute and a standard deviation of σ = 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 82 beats per minute. The probability is 0.7123. (Round to four decimal places as needed.) b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 82 beats per minute. The probability is 0.9974. (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? OA. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size. OB. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. OC. Since the distribution is of…
Assume the readings on thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. Find the probability that a randomly selected thermometer reads between −2.09 and −0.96 and draw a sketch of the region. What is the probability?
Assume that females have pulse rates that are normally distributed with a mean of μ=72.0 beats per minute and a standard deviation of σ=12.5 beats per minute. Complete parts (a) through (c) below. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean between 68 beats per minute and 76 beats per minute
Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find the probability of a bone density test score greater than 0.33 a. The probability is (Round to four decimal places as needed.)
Assume that females have pulse rates that are normally distributed with a mean of μ=72.0 beats per minute and a standard deviation of σ=12.5 beats per minute. Complete parts (a) through (c) below a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 76 beats per minute. The probability is enter your response here. (Round to four decimal places as needed.) b. If 16 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 76 beats per minute. The probability is enter your response here. (Round to four decimal places as needed.)
Assume that females have pulse rates that are normally distributed with a mean of u= 74.0 beats per minute and a standard deviation ofo = 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 67 beats per minute and 81 beats per minute. The probability is. (Round to four decimal places as needed.) b. If 16 adult females are randomly selected, find the probability that they have pulse rates with a mean between 67 beats per minute and 81 beats per minute. The probability is. (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? O A. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. O B. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size. OC. Since the…
Assume for a moment that the distribution of weight of adult is approximately normal with a mean of 179.8 lb and a standard deviation of 93.0 lb find the probably that a randomly selected adult would have a weight at most 272.8 lb A) 0.9413 B) 0.2583 C) 0.8413 D) 0.1583

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