Exercises. 1. Find the area under the standard normal curve to the left of

1. Find the area under the standard normal curve to the left of

a) ; b) ;

c) ; d)

2. Find the area under the standard normal curve to the right of

a) ; b) ;

c) ; d) ;

3. Find the area under the standard normal curve over the interval

a) to ; b) to ;

c) to ; d) to (interpolate)

4. For the random variable Z follows a standard distribution, find

a) ; b) ;

c) ; d) ;

e) ; f) ;

g) ; h) ;

i)

5. Find the z -value in each of the following cases:

a) ; b) ;

c) ; d)

6. Let the random variable Z follow a standard normal distribution.

a) The probability is 0.80 that Z is less than what number?

b) The probability is 0.35 that Z is less than what number?

c) The probability is 0.3 that Z is greater than what number?

d) The probability is 0.75 that Z is greater than what number?

Answers

1. a) 0.8790; b) 0.5636; c) 0.0336; d) 0.0107; 2. a) 0.1210; b) 0.2743;

c) 0.8708; d) 0.0606; 3. a) 0.4844; b) 0.7016; c) 0.3705; d) 0.6700;

4. a) 0.6628; b) 0.3372; c) 0.0455; d) 0.9545; e) 0.8670; f) 0.0966;

g) 0.2524; h) 0.9495; i) 0.1283; 5. a) -0.94; b) 0.84; c) 1.28 and -1.28;

d) 0.755; 6. a) 0.842; b) -0.386; c) 0.524; d) -0.675.

Дата добавления: 2015-08-05