Question

A researcher asked 520 randomly selected people of three different age groups (teen, young adult, and adult) about their favorite music genre. the two-way table displays the distribution of the responses. a 4-column table with 3 rows. column 1 has entries country, rock, oldies. column 2 is labeled teen with entries 61, 94, 15. column 3 is labeled young adult with entries 65, 84, 36. column 4 is labeled adult with entries 49, 54, 62. the columns are labeled age and the rows are labeled music. a participant is randomly selected. let c be the event that the participant prefers country music and let t be the event that the participant is a teen. what is the value of p(cc and tc)? 0.12 0.33 0.45 0.55

Answer 1

The value of p(cc and tc) is 0.1173

The distribution of the replies is 0.12, as shown by the two-way table.

We've done that.

520 randomly chosen individuals from the teen, young adult, and adult age groups were asked about their preferred musical genres by the researcher.

The distribution of the answers is shown in the two-way table.

There are 61 teenagers in the country.

seeing as how this is only one of 520,

The probability formula?

P(E) = (Number of favorable outcomes) = Probability of an Event (Sample space).

61/520=0.1173

We calculate 0.1173 by dividing 61 by 520 and rounding to the next hundredth to obtain 0.12.

Thus the value of p(cc and tc) is 0.1173.

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