A recent national survey of music fans aged 14 to 24 reveale

A recent national survey of music fans aged 14 to 24 revealed that about 36% of them listen to streamed music on their computers every day. A sample of 20 music fans from the same age group is randomly selected. Show your work or calculator command to answer the following questions.

1. Circle the appropriate the probability distribution for this random variable.

a. Normal Distribution     b. 2Distribution    c. Binomial distribution

2. Select from the following list all the requirements that are met in this problem scenario for the probability distribution identified in part a:

a. There is a fixed number of trials (music fans).

b. The sample size is more than 10.

c. Each trial (music fan) is independent of each other.

d. The population is bell-shaped.

e. There are two possible outcomes for each trial.

f. The probability of each outcome for each trial is constant.

Solution

1. OPTION C: BINOMIAL DISTIRBUTION

Part 2 answers why.

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2.

a. There is a fixed number of trials (music fans).
c. Each trial (music fan) is independent of each other.
e. There are two possible outcomes for each trial.
f. The probability of each outcome for each trial is constant.

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