3. A TV chef claims his free-range chickens taste better than battery-farmed chickens. 10 people aregiven a sample of each to taste, without knowing which is which, and are asked to state whichsample they prefer. It is suggested that the participants cannot actually taste the difference, and areeffectively choosing which sample they prefer at random. If this is true,(1) What probability distribution would you use to describe the number of people who say theyprefer the free-range chicken?(2) Using your distribution in (1), calculate the probability that the number of people who say theyprefer the free-range chicken is:(a) not 5;(b) no more than 8.(Hint: C (0.5)¹00.246, C (0.5)¹0+C (0.5)¹0 ≈ 0.011)

A TV chef claims his free-range chickens taste better than battery-farmed chickens. 10 people are…

Answered: (1) What probability distribution would…

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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(1) What probability distribution would you use to describe the number of people who say they prefer the free-range chicken? (2) Using your distribution in (1), calculate the probability that the number of people who say they prefer the free-range chicken is: (a) not 5; (b) no more than 8.