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A survey of US adults found that 35% say their favorite sport is football. You randomly select 150 adults and ask them if their favorite sport is football. Find the probability that: a) At most 75 people say their favorite sport is football

A survey of US adults found that 35% say their favorite sport is football. You randomly select 150 adults and ask them if their favorite sport is football. Find the probability that: a) At most 75 people say their favorite sport is football

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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Please answer part A using EXCEL: 

A survey of US adults found that 35% say their favorite sport is football. You randomly select 150 adults and ask them if their favorite sport is football. Find the probability that: a) At most 75 people say their favorite sport is football b) c) More than 40 people say their favorite sport is football. Between 50 and 60 people, inclusive, say their favorite sport is football.
Transcribed Image Text:A survey of US adults found that 35% say their favorite sport is football. You randomly select 150 adults and ask them if their favorite sport is football. Find the probability that: a) At most 75 people say their favorite sport is football b) c) More than 40 people say their favorite sport is football. Between 50 and 60 people, inclusive, say their favorite sport is football.
Expert Solution
Step 1

We have given information,

A survey of US adults founds that 35% say their favorite sports is football.

i.e. p=0.35

Selected randomly 150 adults.

i.e. n=150

This is a binomial distribution, because it satisfies the following necessary conditions of the binomial distribution,

  • The sample size is finite (fixed).
  • The number of trials are independent.
  • The probability is constant for each trial.
  • The outcomes of the trials are  exhaustive ( their favorite sport is football or not). 

Therefore the random variable follows binomial distribution with parameter n=150 and p=0.35.

Symbolically written as X~Bn=150, p=0.35

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