24. Determine if X from the following scenarios are binomial random variables. Make sure to explain why it is or is not. A. Suppose a dance competition decides to give two awards to two dancers. There are 20 dancers: 9 males and 11 females. All 20 of the dancers are equally qualified, and the competition decides to randomly select 2. Let X be the number of male dancers who receive the award. B. A fast-food chain decides to conduct a survey of customers to see if its new sandwich will sell well. The company chooses 100 randomly selected customers and asks them to state their preference among the new sandwich and two other sandwiches already on the menu. Let X be the number of the 100 customers who choose the new sandwich over the other two.
24. Determine if X from the following scenarios are binomial random variables. Make sure to explain why it is or is not. A. Suppose a dance competition decides to give two awards to two dancers. There are 20 dancers: 9 males and 11 females. All 20 of the dancers are equally qualified, and the competition decides to randomly select 2. Let X be the number of male dancers who receive the award. B. A fast-food chain decides to conduct a survey of customers to see if its new sandwich will sell well. The company chooses 100 randomly selected customers and asks them to state their preference among the new sandwich and two other sandwiches already on the menu. Let X be the number of the 100 customers who choose the new sandwich over the other two.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CT: Chapter Test
Problem 24CT: Show the sample space of the experiment: toss a fair coin three times.
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Transcribed Image Text:24. Determine if X from the following scenarios are binomial random variables. Make sure to explain why it is or is
not.
A. Suppose a dance competition decides to give two awards to two dancers. There are 20 dancers: 9 males
and 11 females. All 20 of the dancers are equally qualified, and the competition decides to randomly select
2. Let X be the number of male dancers who receive the award.
B. A fast-food chain decides to conduct a survey of customers to see if its new sandwich will sell well. The
company chooses 100 randomly selected customers and asks them to state their preference among the
new sandwich and two other sandwiches already on the menu. Let X be the number of the 100 customers
who choose the new sandwich over the other two.
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