Respuesta :
Answer:
15.87%
Step-by-step explanation:
*Probability-Below 15.87%
Z1=-1
*x-1 38
*µ 44
*σ 6
The probability that a randomly selected student has a typing speed of less than 38 words per minute is 15.87%.
What is z-score?
The Z-score, or standard score, is the number of standard deviations a given data point lies above or below mean.
Formula for z-score
z = (x -μ)/σ
Where,
Z is standard score.
x is observed value.
μ is mean of the sample.
σ is standard deviation of the sample.
What is probability?
The area under the normal distribution curve represents probability.
According to the given question.
Mean, μ = 44
Standard deviation, σ = 6
Observed value, x = 38
Therefore, z-score = [tex]\frac{38-44}{6}= -1[/tex]
So, the are P(z > -1) = 15.87%
Hence, the probability that a randomly selected student has a typing speed of less than 38 words per minute is 15.87%.
Find out more information about z-score and probability here:
https://brainly.com/question/25638875
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