For a mean of 153 and standard deviation of 25, find P(130leqslant Xleqslant 170) square A.

Question

For a mean of 153 and standard deviation of 25, find P(130leqslant Xleqslant 170) square A.

Answer 1

### 0.5729

Answer 2

## Step 1: Calculate the z-scores### To standardize the values 130 and 170, we use the z-score formula:

, where

is the value,

is the mean, and

is the standard deviation. For

,

. For

,

.## Step 2: Find the probabilities corresponding to the z-scores### Using a z-table or calculator, we find the probabilities corresponding to the calculated z-scores.

and

.## Step 3: Calculate the probability between the two z-scores### The probability

is equivalent to

. This can be calculated as

.

Question

For a mean of 153 and standard deviation of 25, find P(130leqslant Xleqslant 170) square A.

Solution

Answer

Explanation