1. In its standardized form, the normal distribution

a) has a meanof 0 and a standard deviationof 1.

b) has a mean of 1 and a varianceof 0.

c) has an area equal to 0.5.

d) cannot be used to approximate discrete probabilitydistributions.

2. For some positive value of Z, the probability that a standard normal variable is between 0 and Z is 0.3770. Find value of Z?

3. For some value of Z, the probability that a standard normal variable is below Z is 0.2090. Find value of Z?

4. For some positive value of X, the probability that a standard normal variable is between 0 and +2X is 0.1255. Find value of X?

For 2,3,4 I need detail calculation and explanation.

1. In its standardized form, the normal distribution

a) has a mean of 0 and a standard deviation of 1. < True

b) has a mean of 1 and a variance of 0.

c) has an area equal to 0.5.

d) cannot be used to approximate discrete probability distributions.

2. For some positive value of Z, the probability that a standard normal …