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Question

asked 2020-10-21

(a) Suppose \(n = 100\) and \(p= 0.23\). Can we safely approximate the \(\hat{p}\) distribution by a normal distribution? Why?

Compute \(\mu_{\hat{p}}\) and \(\sigma_{\hat{p}}\).

asked 2021-03-18

Find the probability that a single randomly selected value is between 133.6 and 134.1.

\(\displaystyle{P}{\left({133.6}{<}{X}{<}{134.1}\right)}=\)?

Write your answers as numbers accurate to 4 decimal places.

asked 2021-03-06

When dealing with the binomial distribution, why are the possible values for the random variable always 0,1,2,3,…,n where n is the number of trials or sample size? Why can't we use negative values, or fractions, or numbers greater than n?

asked 2021-01-23

Please, find the binomial probability when \(n = 6, p = 0.83, x = 5.\)