for its Music 360 survey, Nielsen Co. asked teenagers and adults how each group

Efan Halliday

Efan Halliday

Answered question

2021-09-30

for its Music 360 survey, Nielsen Co. asked teenagers and adults how each group has listened to music in the past 12 months. Nearly two-thirds of U.S. teenagers under the age of 18 say they use google Inc.’s video-sharing site to listen to music and 35% of the teenagers said they use Pandora Media Inc.’s custom online radio service (the wall street Journal, August 14, 2012).
Suppose 10 teenagers are selected randomly to be interviewed about how they listen to music.
a. Is randomly selecting 10 teenagers and asking whether or not they use Pandora Media Inc.’s online service a binomial experiment?

Answer & Explanation

delilnaT

delilnaT

Skilled2021-10-01Added 94 answers

Step 1
a. A random sample of 10 teenagers is selected and they are asked how they listen to music.
It was found that 35% of the teenagers use Pandora Media Inc.’s online radio service.
Define the random variable x as the number of teenagers who listen to Pandora Media Inc.’s online radio service. Here, a random sample (n) of 10 teenagers is taken. Each teenager is independent of the other. Also, there are two possible outcomes, those who use Pandora Media Inc.’s online radio service and those who do not use Pandora Media Inc.’s online radio service (success or failure). It was found that 35% of the teenagers use Pandora Media Inc.’s online radio service. That is, the probability of success (p) is 0.35. Thus, x follows binomial distribution.
Step 2
The probability of obtaining x successes in n independent trails of a binomial experiment is,
f(x)=(nx)px(1p)nx,x=0,1,2,,n
Where, p is the probability of success.
Substituting the values n=10 and p=0.35, the binomial probability formula becomes,
f(x)=(10x)(0.35)x(10.35)10x,x=0,1,2,,10
Thus, the experiment of randomly selecting 10 teenagers and asking whether or not they use Pandora Media Inc.’s online radio service is a binomial experiment.

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