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The Pew Research Center asked a random sample of 2024adult cell-phone owners from the United States their age and which type of cell phone they own: iPhone, Android, or other (including non-smartphones). The two-way table summarizes the data.

Suppose we select one of the survey respondents at random. What鈥檚 the probability that: a. The person is not age 18to34and does not own an iPhone?

b. The person is age 18to34or owns an iPhone?

Short Answer

Expert verified

Part a. Probability that the person not aged 18-34and does not own iPhone is approx.0.5973.

Part b. Probability that the person aged 18-34or owns an iPhone is approx. role="math" localid="1663232478435" 0.4027.

Step by step solution

01

Part a. Step 1. Given information

Data summarized in two 鈥 way table:

02

Part a. Step 2. Explanation

The table consists of data about 2024adult cell 鈥 phone users.

Thus,

The number of possible outcomes is 2024.

Now,

The people not aged 18-34and do not own iPhone are as follows:

Android users (other than aged 18-34):

189adults aged 35-54use Android.

100adults aged 55+use Android.

Other cell 鈥 phone users (other than aged 18-34):

277adults aged 35-54use other cell 鈥 phones.

643adults aged 55+use other cell 鈥 phones.

When we sum up all the above counts, it becomes 1209.

That means

1209adults not aged 18-34do not own an iPhone.

Thus,

The number of favorable outcomes is 1209.

If we divide number of favorable outcomes by number of possible outcomes, we get the probability.

P(Not18-34) and do not own iphone)=NumberoffavorableoutcomesNumberofpossibleoutcomes=120920240.5973

Thus,

Probability for the person not aged 18-34and does not own an iPhone is approx.0.5973

03

Part b. Step 1. Explanation

The table consists of data about 2024adult cell 鈥 phone users.

Thus,

The number of possible outcomes is 2024.

Now,

For people aged 18-34or own an iPhone:

Aged 18-34:

517of 2024adults are aged 18-34.

iPhone users (other than aged 18-34):

171adults aged 35-54use iPhone.

127adults aged 55+use iPhone.

When we sum up all the above counts, it becomes 815.

That means

815adults aged 18-34or own an iPhone.

Thus,

The number of favorable outcomes is 815.

If we divide number of favorable outcomes by number of possible outcomes, we get the probability.

P(Aged 18-34) or own iphone)=NumberoffavorableoutcomesNumberofpossibleoutcomes=80520240.4027

Thus,

Probability for the person aged 18-34or owns an iPhone is approx.0.4027.

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Cell phonesThe Pew Research Center asked a random sample of 2024adult cell-phone owners from the United States their age and which type of cell phone they own: iPhone, Android, or other (including non-smartphones). The two-way table summarizes the data.

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Which of the following is a correct way to perform the simulation?

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c. Let integers from1to56represent making a free throw and 57to100represent missing a free throw. Generate 50 random integers from1to100.Count the number of made free throws. Repeat this process many times.

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