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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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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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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