Author Question: Briefly discuss the properties of the standard normal distribution. ... (Read 61 times)

vinney12

  • Hero Member
  • *****
  • Posts: 586
Briefly discuss the properties of the standard normal distribution.

Question 2

Explain why events A and B cannot be mutually exclusive if they are defined on a common sample space with P(A) = 0.56 and P(B) = 0.61.



brittrenee

  • Sr. Member
  • ****
  • Posts: 321
Answer to Question 1

(a) The total area under the normal curve is equal to one.
(b) The distribution is mounded and symmetric with respect to the vertical line drawn through z = 0; it extends indefinitely in directions, approaching but never touching the horizontal axis.
(c) The distribution has a mean of 0 and a standard deviation of 1 .
(d) The mean divides the area in half - 0.50 on each side.
(e) Nearly all the area is between z = -3.00 and z = 3.00

Answer to Question 2

If A and B were mutually exclusive, P(A or B) = 0.56 + 0.61 = 1.17 which is impossible.



Related Topics

Need homework help now?

Ask unlimited questions for free

Ask a Question
 

Did you know?

About 60% of newborn infants in the United States are jaundiced; that is, they look yellow. Kernicterus is a form of brain damage caused by excessive jaundice. When babies begin to be affected by excessive jaundice and begin to have brain damage, they become excessively lethargic.

Did you know?

The first-known contraceptive was crocodile dung, used in Egypt in 2000 BC. Condoms were also reportedly used, made of animal bladders or intestines.

Did you know?

Although puberty usually occurs in the early teenage years, the world's youngest parents were two Chinese children who had their first baby when they were 8 and 9 years of age.

Did you know?

People with alcoholism are at a much greater risk of malnutrition than are other people and usually exhibit low levels of most vitamins (especially folic acid). This is because alcohol often takes the place of 50% of their daily intake of calories, with little nutritional value contained in it.

Did you know?

The longest a person has survived after a heart transplant is 24 years.

For a complete list of videos, visit our video library