Answer:
The answer is explained below
Step-by-step explanation:
Given that:
mean (μ) = 7 and standard deviation (σ) = 1.5.
The z score is used in statistic used to measure the number of standard deviation by which the raw score is above or below the mean value. It is given by:
[tex]z=\frac{x-\mu}{\sigma}, where\ x\ is\ the \ raw\ score[/tex]
To find the Probability that x < 8.8, we first find the z score using:
[tex]z = \frac{x-\mu}{\sigma}=\frac{8.8-7}{1.5}=1.2[/tex]
From the z tables, P(x < 8.8) = P(z < 1.2) = 0.8849 = 88.49%
