Question

A fair coin is tossed three times and the RV X equals the total number of...

A fair coin is tossed three times and the RV X equals the total number of heads. Find and sketch the pdf, fX (x), and the PDF FX (x).

Homework Answers

Answer #1

ANSWER::

Consider the simple experiment of tossing a coin three times. Let X = number of times the coin comes up heads. There are 8 possible elementary events and the corresponding values for X are:


Graphically,

NOTE:: I HOPE THIS ANSWER IS HELPFULL TO YOU......**PLEASE SUPPORT ME WITH YOUR RATING......

**PLEASE GIVE ME "LIKE".....ITS VERY IMPORTANT  FOR,ME......PLEASE SUPPORT ME .......THANK YOU

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A fair coin has been tossed four times. Let X be the number of heads minus...
A fair coin has been tossed four times. Let X be the number of heads minus the number of tails (out of four tosses). Find the probability mass function of X. Sketch the graph of the probability mass function and the distribution function, Find E[X] and Var(X).
A fair coin is tossed three times. Let X be the number of heads among the...
A fair coin is tossed three times. Let X be the number of heads among the first two tosses and Y be the number of heads among the last two tosses. What is the joint probability mass function of X and Y? What are the marginal probability mass function of X and Y i.e. p_X (x)and p_Y (y)? Find E(X) and E(Y). What is Cov(X,Y) What is Corr (X,Y) Are X and Y independent? Explain. Find the conditional probability mass...
A coin is tossed 225 times and shows heads 135 times. Is the coin fair ?...
A coin is tossed 225 times and shows heads 135 times. Is the coin fair ? Show work
A coin is tossed five times. Let X = the number of heads. Find P(X =...
A coin is tossed five times. Let X = the number of heads. Find P(X = 3).
A coin is tossed 4 times. Let X be the number of times the coin lands...
A coin is tossed 4 times. Let X be the number of times the coin lands heads side up in those 4 tosses. Give all the value(s) of the random variable, X. List them separated commas if there is more than one. X =  
A fair coin is tossed 2n times. (a) Obtain the probability that there will be an...
A fair coin is tossed 2n times. (a) Obtain the probability that there will be an equal number of heads and tails. (b) Show that the probability computed in (a) is a decreasing function of n
A fair coin is tossed 8 times. Find the probability of getting exactly 4 heads.
A fair coin is tossed 8 times. Find the probability of getting exactly 4 heads.
A fair coin is tossed three times. What is the probability that: a. We get at...
A fair coin is tossed three times. What is the probability that: a. We get at least 1 tail b. The second toss is a tail c. We get no tails. d. We get exactly one head. e. You get more tails than heads.
A balanced coin is tossed 3 times, and among the 3 coin tosses, X heads show....
A balanced coin is tossed 3 times, and among the 3 coin tosses, X heads show. Then the same balanced coin is tossed X additional times, and among these X coin tosses, Y heads show. a. Find the distribution for Y . b. Find the expected value of Y . c. Find the variance of Y . d. Find the standard deviation of Y
A balanced coin is tossed 3 times, and among the 3 coin tosses, X heads show....
A balanced coin is tossed 3 times, and among the 3 coin tosses, X heads show. Then the same balanced coin is tossed X additional times, and among these X coin tosses, Y heads show. a. Find the distribution for Y . b. Find the expected value of Y . c. Find the variance of Y . d. Find the standard deviation of Y