Question

This probability distribution shows thetypical distribution of the number of shoesin a teenager's closet.Shoes123451Frequency1220382010Using this distribution, find the probabilitythat a teenager has exactly 4 pairs of shoesin their closet.p = [?]yes

Answer 1

We are asked to find the probability of having exactly 4 pairs of shoes.

Recall that the probability is given by

`P=\frac{\text{number of favorable outcomes}}{\text{total number of outcomes}}`

For the given case,

Number of favorable outcomes = 20 (frequency of having 4 pairs of shoes)

Total number of favorable outcomes = 12 + 20 + 38 + 20 + 10 = 100

So, the probability of having exactly 4 pairs of shoes is

`P(x=4)=(20)/(100)=(1)/(5)=0.2`

Therefore, the probability of having exactly 4 pairs of shoes in the closet is 1/5 (0.2)