Question

You may need to use the appropriate appendix table or technology to answer this question. z is a standard normal random variable. Find P(−2.3) z ≤ 2.P(−2.3≤z≤2.3).

Answer 1

The probability between -2.3 and 2.3 is 0.9786.

Step-by-step explanation:

To find P(−2.3≤z≤2.3), we need to find the area under the standard normal curve between -2.3 and 2.3. We can use the z-table to find the corresponding probabilities. The z-table shows that the area to the left of -2.3 is 0.0107 and the area to the left of 2.3 is 0.9893. To find the probability between -2.3 and 2.3, we subtract the area to the left of -2.3 from the area to the left of 2.3: 0.9893 - 0.0107 = 0.9786.