Q:

Suppose that a random variable has a standard normal distribution. Use a standard normal table such as this one to determine the probability that is between −1 and 0.67. Give your answer in decimal form, precise to at least three decimal places.

Accepted Solution

A:
Answer:The probability That is between -1 and 0.67 is 0.58991Step-by-step explanation:* Lets explain how to solve it- A random variable has a standard normal distribution- Z-scores are -1 and 0.67- We need to find the probability that is between them by using the   standard normal table- Search in the table of the standard normal distribution for the  corresponding area of -1 and corresponding area of 0.67- From the standard normal distribution table we find that∵ The corresponding area which represents z = -1 is 0.15866∵ The corresponding area which represents z = 0.67 is 0.74857- To find the probability between -1 and 0.67 find the difference   between the corresponding areas of -1 and 0.67∵ z = -1 represented by 0.15866∵ z = 0.67 represented by 0.74857∴ The difference of the corresponding areas is:    0.74857 - 0.15866 = 0.58991∴ The probability that is between -1 and 0.67 is 0.58991