For a standard normal distribution, determine the probabilities ...

[Caiter2013]

For a standard normal distribution, determine the probabilities of obtaining the following z values. It is helpful to draw a normal distribution for each case and show the corresponding area.
 a. Greater than zero
  b. Between -2.4 and -2.0
  c. Less than 1.6
  d. Between -1.9 to 1.7
  e. Between 1.5 and 1.75

Question 2

The driving time for an individual from his home to his work is uniformly distributed between 300 to 480 seconds.
 a. Determine the probability density function.
  b. Compute the probability that the driving time will be less than or equal to 435 seconds.
  c. Determine the expected driving time.
  d. Compute the variance.
  e. Compute the standard deviation.

[moormoney]

Answer to Question 1

a. 0.5
b. 0.146
c. 0.9452
d. 0.9267
e. 0.0267

Answer to Question 2

a. 1 180
b. 0.75
c. 390
d. 2700
e. 51.96

[Caiter2013]

TY

[moormoney]

You're welcome