Question

Please Help 15 Points!

Which of the following probabilities is equal to approximately 0.2957? Use the portion of the standard normal table below to help answer the question.
z Probability
0.00 0.5000
0.25 0.6915
0.50 0.7734
1.00 0.8413
1.25 0.8944
1.50 0.9332
1.75 0.9599

Answer 1

It's C. on Edge.

Explanation:

I just took the test and got it right

Answer 2

`P(0.25\le z\le 1.25)`

Explanation:

Consider the probability table:

z Probability

0.00 0.5000

0.25 0.59871

0.50 0.6915

0.75 0.7734

1.00 0.8413

1.25 0.8944

1.50 0.9332

1.75 0.9599

We need to find the probability which is equal to approximately 0.2957.

`P(-z)=1-P(z)`

`P(-1.25)=1-P(1.25)`

`P(-1.25)=1-0.8944`

`P(-1.25)=0.1056`

The probability of P(-1.25) is 0.1056.

`P(-1.25\le z\le 0.25)=P(0.25)-P(-1.25)`

`P(-1.25\le z\le 0.25)=0.59871-0.1056=0.49311`

The probability of
`P(-1.25\le z\le 0.25)` is 0.49311.

`P(-1.25\le z\le 0.75)=P(0.75)-P(-1.25)`

`P(-1.25\le z\le 0.75)=0.7734-0.1056=0.6678`

The probability of
`P(-1.25\le z\le 0.75)` is 0.6678.

`P(0.25\le z\le 1.25)=P(1.25)-P(0.25)`

`P(0.25\le z\le 1.25)=0.8944-0.59871=0.29569`

The probability of
`P(0.25\le z\le 1.25)` is 0.29569.

`P(0.75\le z\le 1.25)=P(1.25)-P(0.75)`

`P(0.75\le z\le 1.25)=0.8944-0.7734=0.121`

The probability of
`P(0.75\le z\le 1.25)` is 0.121.

Therefore, the correct option is 3, i.e.,
`P(0.25\le z\le 1.25)`.