1. A normal distribution has a mean of 102 and a standard deviation of 2.9 what is the Z-score of 105 round to nearest hundredth.

2. The ages of people at a concert are normally distributed with a mean of 24 years and a standard deviation of 3.2 years what is the age of a concert attendee with a Z-score of - 1.3 round to nearest hundredth

Question 1: z-score is 1.03

Question 2: age of a concert attendee x = 19.84

Step-by-step explanation:

Question 1

Mean = μ = 102

standard deviation = σ = 2.9

x = 105

z-score = ?

z-score = x - μ / σ

= 105 - 102 / 2.9

= 3 / 2.9

z-score = 1.03

Question 2

Mean = μ = 24

standard deviation = σ = 3.2

x=?

z-score = - 1.3

z-score = x - μ / σ

- 1.3 = x - 24 / 3.2

- 1.3 * 3.2 = x - 24

=> x = - 4.16 + 24

x = 19.84