Question

On average, junior girls own 10 pairs of shoes with a standard deviation of 1.5 pairs of shoes. the distribution of shoes follows an approximately normal curve. what is the probability of selecting a junior girl that owns 12 or more pairs of shoes

Answer 1

solve for z score:
z(12)=(12-10)/1.5=4/3
then >/ "less than and equal to"
p(x>/12) = p(z>/4/3)=.0912

Answer 2

The probability of selecting a junior girl  that owns more pair of shoes is  0.0912

What is normal Distribution ?

In a normal distribution, data is symmetrically distributed with no skew. When plotted on a graph, the data follows a bell shape, with most values clustering around a central region and tapering off as they go further away from the center.

Normal distributions are also called Gaussian distributions or bell curves because of their shape.

We have

x (individual value) = 12

μ (mean) = 10

σ (standard deviation) =  1.5

We know the formula of  Z- score formula ,

z = (x – μ) / σ

here

x = individual value

μ = mean

σ = standard deviation

According to the questions

z(12) = (12-10)/1.5

= 2/1.5

= 4/3

Probability(x >= 12)

= P(z >= 4/3)

= 0.0912

Hence, the probability of selecting a junior girl  that owns more pair of shoes is  0.0912

To learn more about normal Distribution from here

https://brainly.com/question/15103234

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