(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.

According to the distribution, we have 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:

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

87%

step-by-step explanation:

apex answer

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.