Question

For a standard normal distribution, find the approximate value of P(-0.41 ≤ z ≤ 0.73). Use the portions of the standard normal table below to help answer the question.

A) 43%


B) 34%


C) 45%


D) 57%

Answer 1

Using the standard normal table, we can find the area under the curve between -0.41 and 0.73 by subtracting the area to the left of -0.41 from the area to the left of 0.73:

P(-0.41 ≤ z ≤ 0.73) = P(z ≤ 0.73) - P(z ≤ -0.41)

From the standard normal table, we can find that:

P(z ≤ 0.73) = 0.7673
P(z ≤ -0.41) = 0.3409

Therefore:

P(-0.41 ≤ z ≤ 0.73) = 0.7673 - 0.3409 = 0.4264

Rounding to the nearest percent, we get:

P(-0.41 ≤ z ≤ 0.73) ≈ 43%

Therefore, the approximate value of P(-0.41 ≤ z ≤ 0.73) is 43%. The answer is (A).