K3:44Assume the random variable X is normally distributed with mean μ = 50 and standard deviation o = 7. Compute theprobability. Be sure to draw a normal curve with the area corresponding to the probability shaded.P(35< X < 63)Which of the following normal curves corresponds to P(35< X < 63)?OA.3550P(35 < X < 63) =(Round to four decimal places as needed.)|||63=B.3550O63QVo) 1LTE 4G 51%OC.355063

Given that X~N(μ=50,σ2=72). We have to find P(35<X<63). Let Z=X-507, then Z~N(0, 1).

Answered: Assume the random variable X is…

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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K Assume that females have pulse rates that are normally distributed with a mean of μ = 76.0 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 less than 82 beats per minute. The probability is (Round to four decimal places as needed.) b. If 4 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 (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 original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. OB. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size. C. Since the distribution is of individuals, not sample…
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