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a=1 b=9 A discrete random variable is distributed according to the normal distri

ID: 3174184 • Letter: A

Question

a=1

b=9

A discrete random variable is distributed according to the normal distribution N(m; sigma) (m is the expectation). Sampled data are given in the frequency table a) calculate the point estimate to the population expectation m b) at the confidence level of gamma = 0.99 - 0.01b? calculate the interval estimate to the expectation when the population standard deviation is known to be sigma = 20 + 0.1a c) at the same confidence level calculate point and interval estimates to the probability (proportion) of the event (x greaterthanorequalto 190)

Explanation / Answer

a)

Formula:

Formula:

x n a) expectation value: 120 5 163.5 140 37 160 96 180 47 200 10 220 5 total 200