Find the probability distribution of x, Mathematics

If a pair of dice is thrown and X denotes the sum of the numbers on them. Find the probability distribution of X.Also find the expectation of X. 

  SOLUTION: 

 In a single throw of a pair of dice the sum of the numbers on them can be 2,3,4….,12.So, X can assume values 2,3,4….,12.The probability distribution of X is as given below 

    X:  2       3        4        5       6        7      8        9      10     11    12 

P(X):1/36, 2/36, 3/36, 4/36, 5/36, 6/36, 5/36, 4/36, 3/36, 2/36, 1/36 

E(X)=1/36 x 2 + 2/36 x 3 + 3/36 x 4 + 4/36 x 5 +5/36 x 6 + 6/36 x 7

+ 5/36 x 8 +4/36 x 9 + 3/36 x 10 + 2/36 x 11 + 1/36 x 12 

E(X)=1/36[2+6+12+20+30+42+50+36+30+22+12] 

E(X)= 252/36 = 7

Posted Date: 7/23/2012 3:32:24 AM | Location : United States







Related Discussions:- Find the probability distribution of x, Assignment Help, Ask Question on Find the probability distribution of x, Get Answer, Expert's Help, Find the probability distribution of x Discussions

Write discussion on Find the probability distribution of x
Your posts are moderated
Related Questions
can i get some triangle congruence proofs help?


i have question like proof, can you please help me on it?

Linear Approximation Method This is a rough and ready method of interpolation and is best used when the series moves in predicted interval

Find out the length of y = ln(sec x ) between 0 x π/4. Solution In this example we'll need to use the first ds as the function is in the form y = f (x). So, let us g

"Working" definition of continuity A function is continuous in an interval if we can draw the graph from beginning point to finish point without ever once picking up our penci

PLEASE PROVIDE SOME STUFF TO WRITE ON SHARES AND DIVIDEND

Q. What is set theory? Define universal set? Ans. The  universe , or  universal set , written as  U , is the set that contains all elements being considered in a given dis

A certain flight arrives on time 78% of the time. Suppose 1000 flights are randomly selected. Use the normal approximation to the binomial to approximate the probability that

Lori ran (5)1/2 miles Monday, (6)1/4 miles Tuesday (4)1/2 miles Wednesday and (2)3/4 mile on Thursday what is the average number of miles lori ran ? To find the average, add