Question

(25 points) This probability distribution shows the typical distribution of the number of shoes in a teenager's closet. Using this distribution, find the probability that a teenager has fewer than 3 pairs of shoes in their closet.

Answer 1

According to the distribution, we have $12+20$ teenagers who have fewer than 3 pairs of shoes in their closets.

The total number of teenagers surveyed are 100 (add all frequencies).

Hence the required probability is:

$ \frac{12+20}{100}=\frac{32}{100}=0.32$

Alternatively, add the respective probabilities like so:

$P_{fewer \: than \: 3}=0.12+0.20=0.32$

Answer 2

The probability that a teenager has fewer than 3 pairs of shoes in their closet is 0.32.

What is probability?

Probability can be defined as the ration of favorable outcomes to the total number of events.

probability, of a teenager has fewer than 3 pairs of shoes
P = (12+20)/120

p = 0.32

Thus, The probability that a teenager has fewer than 3 pairs of shoes in their closet is 0.32.

Learn more about probability here:

brainly.com/question/14290572

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