I’m another normally distributed test score is 80 and the standard deviations is 10. How common are values in the less than 60? Show your work

Answer:The probability of obtaining a score less than 60 is 2.28% It happens 2 out of 100 times.Step-by-step explanation:If the mean μ = 80 and the standard deviation σ = 10, then we need to find the probability that an X value is less than 60. Then we find [tex]P(X <60)[/tex]To find this probability we use the Z statistic. [tex]Z = \frac{X- \mu}{\sigma}[/tex][tex]P(\frac{X- \mu}{\sigma}<\frac{60-80}{10})[/tex][tex]P(Z <-2)[/tex]This is the same as [tex]P(Z> 2)[/tex]We look for this value in the table for the normal distribution of right queue and we have: [tex]P(X <60) = P(Z> 2) = 0.02275[/tex]The probability of obtaining a score less than 60 is 2.28% It happens 2 out of 100 times.