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
In this case we are going to consider differential equations in the form, y ′ +  p   ( x ) y =  q   ( x ) y n Here p(x) and q(x) are continuous functions in the


write as a percent 6/10

Suppose a  regular polygon , which is an N-sided with equal side lengths S and similar angles at each corner. There is an  inscribed circle  to the polygon that has center C and ba


Q. How to calculate Probability of event? Ans. What chance do I have to toss the coin and get a head? You might think 50-50, 50%. What about tossing it 5 times and getting

how do you multiply fractions

How will the decimal point move when 245.398 is multiplied by 100? It is moved two places to the right. While multiplying by multiples of 10, the decimal point is moved to the

what is the unit price of 6.5 cups of pizza sauce?

Solve the fractional equation: Example: Solve the fractional equation 1/(x-2) +1/(x+3) =0 Solution: The LCD is (x - 2)(x + 3); therefore, multiply both sides of t