Question
Asked Dec 1, 2019
26 views

what are the mean, variance, pdf, and cdf of the following distributions

  •  Normal
  • Exponential
  • Uniform
  • t-distribution w v degrees of freedom
  • chi-squared distribution with v degrees of freedom
  • F-distribution wit v1 and v2 degrees of freedom
  • bernoulli
  • binomial
  • poisson
check_circle

Expert Answer

Step 1

The mean, variance, pdf and CDF of the following distributions are as given below:

Step 2

a.

Normal distribution:

Let x be a random variable that follows normal distribution then its PDF, CDF, mean and variance are as given below:

help_outline

Image Transcriptionclose

Mean E(x)= Variacne V(x)o Pdf ((x-u) 1 f(x)2 0,0therwise cdf (1-u7 1 dx F(x)= /2 πσ

fullscreen
Step 3

b.

Exponential distribution:

Let x be a random variable that follows exponential distribution then...

help_outline

Image Transcriptionclose

Mean: 1 E(x) Variacne 1 (x)4 pdf re x 20 f(x, A)= [0,x<0 cdf (1-e,x20 (0,x<0 F(x)

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Probability

Related Probability Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: The​ odds, in simplified​ form, in favor of the event of the card being an ace or a queen are what t...

A: Odds in favour:The odds in favour of the event is given by the ratio of the probability of the event...

question_answer

Q: 4. A machine works for an exponentially distributed time with rate u and then fails. A repair crew c...

A: As per the questionLet T be the time between two successive replacementsIt is given by the sum of li...

question_answer

Q: A box contains 5 red marbles, 4 green, and 8 blue. Find the probability of pulling two red marbles f...

A: There are total 17 marbles in a box as 5 red + 4 green + 8 blue. Now consider the following values: ...

question_answer

Q: QucStioTTIGip Do people walk faster in the airport when they are departing (getting on a plane) or d...

A: (a).The correct option is D.This is an observational study since the researcher did not influence th...

question_answer

Q: Conduct the following test at the a 0.01 level of significance by determining (a) the null and alter...

A: The provided information is as follows:

question_answer

Q: Mike and Bill play a card game with a standard deck of 52 cards. Mike selects a card from a well-shu...

A: The total number of cards are 52. Mike will gain ‘A’ dollars if the card selected is diamond.Probabi...

question_answer

Q: The table shows data collected on the relationship between the average daily temperature and time sp...

A: Given dataLine of best fit

question_answer

Q: 2. Two individuals, A and B, both require kidney transplants. If she does not receive a new kidney, ...

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If y...

question_answer

Q: Match the coefficient of determination to the scatter diagram. The scales on the x-axis and y-axis a...

A: According to the definition,R2=r2Where r is the coefficient of regression.a)The graph can be shown b...