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# Standard normal distribution used to compute probabilities

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1. Given that z is a standard normal random variable, compute the following probabilities.
a. P(-1≤z≤0)
b. P(-1.5≤z≤0)
c. P(-2<z<0)
d. P(-2.5≤z≤0)
e. P(-3≤z≤0)

2. Given that z is a standard normal random variable, compute the following probabilities.
a. P(0≤z≤.83)
b. P(-1.57≤z≤0)
c. P(z>44)
d. P(z&#8805;-.23)
e. P(z<1.20)
f. P(z≤-.71)

3. Given that z is a standard normal random variable, compute the following probabilities.
a. P(-1.98≤z≤0)
b. P(.52≤z≤1.22)
c. P(-1.75≤z≤-1.04)

4. Given that z is the standard normal random variable, find z for each situation.
a. The area between 0 and z is .4750b. The area between 0 and z is .2291
c. The area to the right of z is .1314
d. The area to the left of z is.6700

5. Given that z is a standard normal random variable, find z for each situation.
a. The area to the left of z is.2119
b. The area between -z and z is .9030
c. The area between -z and z is .2050
d. The area to the left of z is .9948
e. The area to the right of z is.6915

6. Given that z is a standard normal random variable, find z for each situation.
a. The area to the right of z is. 01
b. The area to the right of z is .025
c. The area to the right of z is.05
d. The area to the right of z is .10