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…

(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.

(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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.8: Probabilities Of Disjoint And Overlapping Events

Problem 2C

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Question

3. A TV chef claims his free-range chickens taste better than battery-farmed chickens. 10 people are
given a sample of each to taste, without knowing which is which, and are asked to state which
sample they prefer. It is suggested that the participants cannot actually taste the difference, and are
effectively 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 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.
(Hint: C (0.5)¹00.246, C (0.5)¹0+C (0.5)¹0 ≈ 0.011)

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