Sketch a standard normal curve and shade the area that lies to the right of a. 1.21, b. 0.2, c. 0, and d. 4.6. Then determine the area under the standard normal curve that lies in the area of interest for each part.

The area to the right of 0.2 is

.

(Round to four decimal places asneeded.)

The area to the right of 1.21 is

(Round to four decimal places asneeded.)

Thez-score that has an area of 0.63 under the standard normal curve and to its left is

(Round to two decimal places asneeded.)

The area to the right of 4.6 is

.

(Round to four decimal places asneeded.)

The table below shows the probability distribution of the random variable X.

a. Find the mean of the random variable.

b. Obtain the standard deviation of the random variable.

x

1

2

3

P(X=x)

0.4

0.1

0.5

a. Find the mean of the random variable.

=

nothing

(Round to two decimal places asneeded.)

b. Obtain the standard deviation of the random variable.

=

nothing

(Round to two decimal places asneeded.)