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 āˆ’1 and 0.67. Give your answer in decimal form, precise to at least three decimal places.

Relax

Respuesta :

Answer:

The probability That is between -1 and 0.67 is 0.58991

Step-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

Ā  standard normal table

- Search in the table of the standard normal distribution for the

Ā 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

Ā  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:

Ā  Ā 0.74857 - 0.15866 = 0.58991

∓ The probability that is between -1 and 0.67 is 0.58991