In this problem, we will approximate a binomial dis- tribution by a normal distribution. From looking at the pmfs of the binomial distribution, for large values of n the histogram of the binomial pmf looks “bell-shaped”. It turns out that the normal distribution is a good approximation for the binomial approximation for large n. It also works for small n as long as p is not too far from 0.5. For convenience, we will let q = 1 − p.
In this problem, we will approximate a binomial dis- tribution by a normal distribution. From looking at the pmfs of the binomial distribution, for large values of n the histogram of the binomial pmf looks “bell-shaped”. It turns out that the normal distribution is a good approximation for the binomial approximation for large n. It also works for small n as long as p is not too far from 0.5. For convenience, we will let q = 1 − p.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Please help with problems a, b, and c:
In this problem, we will approximate a binomial dis- tribution by a
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Step 1: Given information
X~Bin(n,p)
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