Question: 1. Given that z is a standard Normal random variable, find the following probabilities: a. P(z <0.67) b. P(z> -0.22) c. P(-0.32 12.5) c. P(8.8

1. Given that z is a standard Normal random variable, find the following

probabilities:

a. P(z<0.67)

b. P(z> -0.22)

c. P(-0.32

2. Given that z is a standard Normal random variable, find z for each situation:

a. the area to the left of z is 0.68

b. the area to the right of z is 0.68

c. the total area to the left of -z and to the right of z is 0.32

3. Given that x is a Normal random variable with a mean of 10 and standard

deviation of 4, find the following probabilities:

a. P(x<6.7)

b. P(x>12.5)

c. P(8.8

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