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A pharmaceutical company gives 30 subjects a new antihistamine, and gives another 30 subjects a placebo (a pill containing no medicine). Afterwards, 8 of the 60 subjects are selected at random to be studied further. Let random variable X = the number of subjects among the 8 people selected who were given the placebo. a. Find the probability mass function f(x) = P(X = x), and sketch its histogram. b. Find P(X = 4). What does this number represent? c. Find P(X24). What does this number represent?

A pharmaceutical company gives 30 subjects a new antihistamine, and gives another 30 subjects a placebo (a pill containing no medicine). Afterwards, 8 of the 60 subjects are selected at random to be studied further. Let random variable X = the number of subjects among the 8 people selected who were given the placebo. a. Find the probability mass function f(x) = P(X = x), and sketch its histogram. b. Find P(X = 4). What does this number represent? c. Find P(X24). What does this number represent?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A pharmaceutical company gives 30 subjects a new antihistamine, and gives another 30 subjects a placebo (a pill containing no medicine). Afterwards, 8 of the 60 subjects are selected at random to be studied further. Let random variable X = the number of subjects among the 8 people selected who were given the placebo. %3D a. Find the probability mass function f(x) = P(X=x), and sketch its histogram. b. Find P(X = 4). What does this number represent? c. Find P(X24). What does this number represent? d. Find P(X<6). What does this number represent? ..... Using the hypergeometric probability distribution model, set up an expression that can be used to find a single ordered pair in the probability mass function f(x) =P(X=x). 30 30 X 8 - x f(x) = P(X = x) = (Simplify your answers.) 60 8 a. Find the probability mass function f(x) = P(X =x). The probability mass function f(x) is - }. (Type an ordered pair. Use a comma to separate answers as needed. Round to three decimal places as needed.)
Transcribed Image Text:A pharmaceutical company gives 30 subjects a new antihistamine, and gives another 30 subjects a placebo (a pill containing no medicine). Afterwards, 8 of the 60 subjects are selected at random to be studied further. Let random variable X = the number of subjects among the 8 people selected who were given the placebo. %3D a. Find the probability mass function f(x) = P(X=x), and sketch its histogram. b. Find P(X = 4). What does this number represent? c. Find P(X24). What does this number represent? d. Find P(X<6). What does this number represent? ..... Using the hypergeometric probability distribution model, set up an expression that can be used to find a single ordered pair in the probability mass function f(x) =P(X=x). 30 30 X 8 - x f(x) = P(X = x) = (Simplify your answers.) 60 8 a. Find the probability mass function f(x) = P(X =x). The probability mass function f(x) is - }. (Type an ordered pair. Use a comma to separate answers as needed. Round to three decimal places as needed.)
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