1. Find the indicated probability using the standard normal distribution. P(z<1.

Question

1. Find the indicated probability using the standard normal distribution.

P(z<1.44) Round to four decimal places as needed

2. Find the indicated probability using the standard normal distribution.

P(z>0.62) Round to four decimal places as needed

3. Find the indicated probability using the standard normal distribution.

P(-1.35 < z < 0) Round to four decimal places as needed

4. Find the indicated probability using the standard normal distribution.

P(z<1.91 or z>1.91) Round to four decimal places as needed

5. Assume the random variable x is normally distributed with mean u=85 and standard deviation =4.

Find the indicated probability.

P(x<77) Round to four decimal places as needed

6. Assume the random variable x is normally distributed with mean =50 and standard deviation =7. Find the indicated probability.

P (x > 43) Round to four decimal places as needed

7. Assume the random variable x is normally distributed with mean =88 and standard deviation =5.

Find the indicated probability.

P(73<x<79) Round to four decimal places as needed

Explanation / Answer

Answer to the question below. We will make use of the Z tables to solve :

1. P(Z<1.44) = .9251

2. P(z>0.62) = 1-.7324 = .2676

3. P(-1.35 < z < 0) = .5-.0885 = .4115

4. P(z<1.91 or z>1.91) = 2*P(z<-1.91) = 2*.0281 = .0582

5.P(x<77) = P(z< 77-85 / 4) = P(z<-2) = .05

6.P(x>43) = P(z> 43-50 /7) = P(z>-1) = 1-.1587 = .8413

7.(73<x<79) = P(-3<z<-1.8) = .0359-0.0013 = .0346

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