Lemma
MediumNormal distribution
OpenStax, Introductory Business Statistics 2e §6.3 Estimating the Binomial with the Normal Distribution · Exercise 42 · Statistics · Normal distribution

Estimating the Binomial with the Normal Distribution · Exercise 42

A hospital has 49 births in a year. It is considered equally likely that a birth be a boy as it is the birth be a girl.

(a) What is the mean?
(b) What is the standard deviation?
(c) Can this binomial distribution be approximated with a normal distribution?
(d) If so, use the normal distribution to find the probability that at least 23 of the 49 births were boys.

~8 minWritten answer · compare with the solution

OpenStax, Introductory Business Statistics 2e · §6.3 Estimating the Binomial with the Normal Distribution · Exercise 42

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