Find the following probabilities for a standard normal random variable Z . Note:

Question

Find the following probabilities for a standard normal random variable Z.
Note: Round your answers to four decimal places.

A) P(Z < -1.05)   

B) P(Z > 1.69)   

C) P(Z > -2.19)   

D) P(Z < 0.67)   

6.–/5 pointsMy Notes

The Wechsler Adult Intelligence Scale (WAIS) is a popular IQ test given to adults. It is designed in such a way that the mean IQ score is = 100, the standard deviation is =15, and the scores are normally distributed. Use this information to answer the following questions.
Note: For problems A, B, and C round your answers to four decimal places.

A) P(IQ < 130)   

B) P(IQ > 130)   

C) P(IQ < 85)   

D) P(IQ > 100)   

E) The values that enclose the central 91% of all adult IQ scores are:
    Note: Round your answers to the nearest integer for this problem.
    Low:  to High:

Question Part Points Submissions Used 5. 15 points My Notes Find the following probabilities for a standard normal random variable Z. Note: Round your answers to four decimal places. A) P(Z-1.05) B) P(Z> 1.69) C) PIZ> -2.19) D) P(Z 100) E) The values that enclose the central 91% of all adult IQ scores are: Note: Round your answers to the nearest integer for this problem Low: to High:

Explanation / Answer

We can find the probability by using Z score table

P ( Z < -1.05) = 0.1469

P ( Z > 1.69) = 0.0455

P ( Z > -2.19) = 0.9857

P ( Z < 0.67) = 0.7486

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