Question

Where ranges are given as choices, pick the correct range. For example, if you calculate a probability to be 0.27, you would pick 0.2-0.3. If your answer is 0.79, your choice would be 0.7-0.8, and so on. The random variable Z has a standard normal distribution.

4) Compute the probability that Z is between -1.2 and 0.7 .

0-0.1

0.1-0.2

0.2-0.3

0.3-0.4

0.4-0.5

0.5-0.6

0.6-0.7

0.7-0.8

0.8-0.9

0.9-1

5) Compute the probability that |Z| >1.5.

0-0.1

0.1-0.2

0.2-0.3

0.3-0.4

0.4-0.5

0.5-0.6

0.6-0.7

0.7-0.8

0.8-0.9

0.9-1

Answer 1

Answer:

Given that,

Where ranges are given as choices, pick the correct range. For example, if you calculate a probability to be 0.27, you would pick 0.2-0.3.

If your answer is 0.79, your choice would be 0.7-0.8, and so on. The random variable Z has a standard normal distribution.

(4)

Compute the probability that Z is between -1.2 and 0.7:

To find P(a Z b) = F(b) - F(a)

P(X < -1.2) = (-1.2-0)/1

= -1.2/1 = -1.2

= P ( Z <-1.2) [From Standard Normal Table]

= 0.11507

P(X < 0.7) = (0.7-0)/1

= 0.7/1 = 0.7

= P ( Z <0.7) [From Standard Normal Table]

= 0.75804

P(-1.2 < X < 0.7) = 0.75804-0.11507 = 0.643

RANGE: 0.6-0.7

(5).

Compute the probability that |Z| >1.5:

P(|Z|>1.5)=1-P(|Z|<1.5)

=P(-1.5<Z<1.5)

=P(Z<1.5)-P(Z<-1.5)

=0.9332-0.0668 [From Standard Normal Table]

Therefore, P(|Z| <1.5)=0.8664

So,

P(|Z| >1.5)=1-0.8664

=0.1336

Hence,

Range will be 0.1-0.2