Question

13. Adult IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Find the probability that a randomly chosen adult has an IQ between 70 and 115.

Answer #1

Solution:

Given, X follows Normal distribution with,

= 100

= 15

P(70 < x< 115)

= P(X < 115) - P(X < 70)

= P[(X - )/ < (115 - 100)/15] - P[(X - )/ < (70 - 100)/15]

= P[Z < 1.00] - P[Z < -2.00]

= 0.8413 - 0.0228 ..Use z table

= 0.8185

**Required Probability = 0.8185**

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