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Find the area of the shaded region the graph to the right depicts IQ scores of adults and those scores are normally distributed with a mean of 100 and a standard deviation of 15

Find the area of the shaded region the graph to the right depicts IQ scores of adults and those scores are normally distributed with a mean of 100 and a standar class=

Respuesta :

Answer:

367

Step-by-step explanation:

88

azocher26

Answer:

area of the shaded region which is the area to the left of the distribution curve is 0.9522

Step-by-step explanation:

Given that :

Mean, μ = 100

Standard deviation, σ = 15

Score, X = 125

the Zscore of the distribution :

Zscore = (X - μ) ÷ σ

Zscore = (125 - 100) ÷ 15 = 1.667

Area of the shaded region is the area to the left of the distribution :

P(Z < Zscore) = P(Z < 1.667)

P(Z < 1.667) = 0.9522 (rounded to 4 decimal places)

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