Standard normal distribution, Mathematics

Assignment Help:

Q. Describe Standard Normal Distribution?

Ans.

The Standard Normal Distribution has a mean of 0 and a standard deviation of 1. The letter Z is often used to refer to a standard normal random variable.

Note that, although many applications in the real world have a normal distribution, rarely does anything in the real world follow a standard normal distribution. This is a convenient distribution that can be used (after some transformations) for ANY normal distribution. In the following examples, we will work through finding probabilities for a standard normal random variable.

Click here to see a table with probabilities for the standard normal distribution.

The area under the curve, the shaded area in this diagram, represents the probability of a normally distributed random variable obtaining a value less than z,1391_Standard Normal Distribution1.gif.

735_Standard Normal Distribution.gif

The entries in the table are the probabilities that a random variable having the standard normal distribution assumes a value less than z.


Related Discussions:- Standard normal distribution

Discrete-time signal, Determine the fundamental period of the following dis...

Determine the fundamental period of the following discrete-time signal: X(n) = 2sin(4n)π +π/4) + 5sin16n +4sin (20n +π/3)

Ratio, how can i solve it

how can i solve it

Conjugate of the complex number, The conjugate of the complex number a + b ...

The conjugate of the complex number a + b i is the complex number a - b i .  In other terms, it is the original complex number along the sign on the imaginary part changed.  Here

What is the new price of the coat, An $80.00 coat is marked down 20%. It do...

An $80.00 coat is marked down 20%. It does not sell, so the shop owner marks it down an additional 15%. What is the new price of the coat? Find out 20 percent of the original p

What is her weekly paycheck assuming there are deductions, Kyra's weekly wa...

Kyra's weekly wages are $895. A Social Security tax of 7.51% and a State Disability Insurance of 1.2% are taken out of her wages. What is her weekly paycheck, assuming there are no

SHARES AND DIVIDEND, i am a student of class 10 and need help for making my...

i am a student of class 10 and need help for making my project on shares and dividend

Determine the matrix that performs a horizontal compression, (a) Determine ...

(a) Determine the matrix that first rotates a two-dimensional vector 180° anticlockwise, and then per- forms a horizontal compression of the resulting vector by a factor 1/2 (leavi

Binomial distribution, Binomial Distribution Consider a batch of N ligh...

Binomial Distribution Consider a batch of N light bulbs. Each bulb may be defective (S) or non-defective (F). The experiment involves selecting a light bulb and checking whethe

Compute the dot product for the equation, Compute the dot product for each ...

Compute the dot product for each of the subsequent equation  (a) v → = 5i → - 8j → , w → = i → + 2j →  (b) a → = (0, 3, -7) , b → = (2, 3,1) Solution (a) v →

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd