Question

Suppose Z follows the standard normal distribution. Use the calculator provided, or this table, to determine the value of c so that the following is true. P( c <= Z <= 1.14)=0.8421 Carry your intermediate computations to at least four decimal places. Round your answer to two decimal places.

Answer 1

To find c such that P(c <= Z <= 1.14) = 0.8421, use a calculator, computer, or a standard normal probability table. The z-score corresponding to an area of 0.8421 is approximately 1.03. Therefore, c <= 1.03.

Step-by-step explanation:

To find the value of c such that P(c ≤ Z ≤ 1.14) = 0.8421, we can use a calculator, computer, or a standard normal probability table. The area under the normal curve to the left of z represents the probability. By finding the z-scores for the given probabilities, we can determine the corresponding values of c.

From the z-table, we find that the z-score corresponding to an area of 0.8421 is approximately 1.03. Therefore, we can conclude that c ≤ 1.03.