Question

Question 4 0.4 pts Let x be the normal distribution with u=150 and o=12.5. Calculate the probability as following (round to four decimal places): P(x<145)

Answer 1

This is a normal distribution question with

Mean(q) = 150 Standard Deviation(o) = 12.5 Since we know that score =- 1- 0

P(x < 145.0)=?
The z-score at x = 145.0 is,
$z = \frac{145.0-150.0}{12.5}$
z = -0.4
This implies that
$P(x < 145.0) = P(z < -0.4) = \textbf{0.3446}$
PS: you have to refer z score table to find the final probabilities.
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