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Laabri

10.5 C4U - Probability Review #1

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Last updated 2 months ago
12 Nsɛmmisa

Find the probabilities below. Write your final answers rounded to the nearest 10th in decimal form, or to the nearest percent in percentage form.

Example: P(A)=0.7681297114

Acceptable answers: 0.77 or 77%

1
1
1
1
1

In a recent survey by The Hollywood Reporter, a random sample of adults aged 18-29 were asked the following question:

How often do you listen to music via streaming services?

Response

Every day

Several times per week

About once per week

Several times per month

About once per month

Less than once per month

Never

Probability

0.51

0.19

0.05

0.04

0.01

0.05

Asemmisa {{asɛmmisaAhyɛnsode}}
1a.

Find the probability for the "Never" response.

Asemmisa {{asɛmmisaAhyɛnsode}}
1b.

What is the probability of “Less than once per month” or “Never”?

Asemmisa {{asɛmmisaAhyɛnsode}}
1c.

A music lover listens to streaming music several times per week or more. Find the probability of getting someone who is a music lover.

Asemmisa {{asɛmmisaAhyɛnsode}}
1d.

A music lover listens to streaming music several times per week or more. Find the probability of getting someone who is NOT a music lover.

Asemmisa {{asɛmmisaAhyɛnsode}}
1e.

A music lover listens to streaming music several times per week or more. Given that someone is a music lover, what is the probability that they listen to music every day?

In a recent survey by The Hollywood Reporter, a random sample of 2,091 adults were asked the

following question:

In general, what kind of fan do you consider yourself of music?

 

Avid Fan

Casual Fan

Not a Fan

Total

Gen Z: Age 18-22

107

41

13

 

Millennial: Age 23-38

401

213

32

 

Gen X: Age 39-54

307

226

24

 

Boomers: Age 55-73

281

397

49

 

Total

 

 

 

 

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Asemmisa {{asɛmmisaAhyɛnsode}}
2a.

Find the totals for the two-way table.

 

Avid Fan

Casual Fan

Not a Fan

Total

Gen Z: Age 18-22

107

41

13

 

Millennial: Age 23-38

401

213

32

 

Gen X: Age 39-54

307

226

24

 

Boomers: Age 55-73

281

397

49

 

Total

 

 

 

 

Asemmisa {{asɛmmisaAhyɛnsode}}
2b.

Suppose we randomly select one of these adults. What is the probability that they are a casual fan?

Asemmisa {{asɛmmisaAhyɛnsode}}
2c.

Suppose we randomly select one of these adults. What is the probability that they are not an avid fan?

Asemmisa {{asɛmmisaAhyɛnsode}}
2d.

Suppose we randomly select one of these adults. What is the probability that they are a Boomer who is not a fan?

Asemmisa {{asɛmmisaAhyɛnsode}}
2e.

Suppose we randomly select one of these adults. What is the probability they are Gen Z or an avid fan?

Asemmisa {{asɛmmisaAhyɛnsode}}
2f.

Suppose we randomly select one of these adults. What is the probability that they are an avid fan if we know that they are a Millennial?

Asemmisa {{asɛmmisaAhyɛnsode}}
2g.

Suppose we randomly select one of these adults. Given that they are 39 or older, what is the probability they are an avid fan?