Suppose a certain medical treatment is effective in 80% of the cases treated. Let Y denote the number of patients for which the treatment is effective in a random sample of 100 patients, Bin(n, p) with n = 100 and p = 0.8. Find an approximate probability that so that Y~ 75

Suppose a certain medical treatment is effective in 80% of the cases treated. Let Y denote the number of patients for which the treatment is effective in a random sample of 100 patients, Bin(n, p) with n = 100 and p = 0.8. Find an approximate probability that so that Y~ 75

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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Question

3. Suppose a certain medical treatment is effective in 80% of the cases treated. Let Y denote the
number of patients for which the treatment is effective in a random sample of 100 patients,
100 and p = 0.8. Find an approximate probability that
so that Y~
Bin(n, p) with n =
75 <Y < 87.

Expert Solution

Step 1

$Given p = 0.80 n = 100 Let Y denote the number of patients for which the treatment is effective Y ~ Binomial (n = 100, p = 0.80) P (Y = y) = (\begin{matrix} n \\ y \end{matrix}) p^{y} {(1 - p)}^{n - y}; x = 0, 1, . . . ., n$

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