1. Answer the following: a. Given that z is a standard normal random variable, what is the probability that z is greater than or equal to -2.12? b. What is the probability that x is between 3 and 6,...

1. Answer the following:

a. Given thatz is a standard normal random variable, what is the probability thatz
is greater than or equal to -2.12?

b. What is the probability that x is between 3 and 6, given the function below?

f(x) =(1/10) e^-x/10x
is greater than or equal to 0​

c. What is the mean of x, given the function below?

f(x) =(1/10) e
^-x/10 x
is greater than or equal to 0