Given a normal random variable X with mean 15 and variance 16, suppose you take a random sample of size n. (a) Find what sample size is necessary in order that P (14.50 < X < 15.49) = 0.95

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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The question was rejected due to its complexity, I kindly ask you to solve just part a, then I will ask my question again for part b. Preferred scripting language is Python.

Given a normal random variable X with mean 15 and variance 16, suppose
you take a random sample of size n.
(a) Find what sample size is necessary in order that
P (14.50 < X < 15.49) = 0.95
(b) Take a random sample of the size you found in (a) and plot the distribution.
Include a screen shot of your script. You can use numpy.random and matplotlib.
Transcribed Image Text:Given a normal random variable X with mean 15 and variance 16, suppose you take a random sample of size n. (a) Find what sample size is necessary in order that P (14.50 < X < 15.49) = 0.95 (b) Take a random sample of the size you found in (a) and plot the distribution. Include a screen shot of your script. You can use numpy.random and matplotlib.
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