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

Ask an Expert

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

Write your message here..

Related Questions

Extrema- minimum and maximum values, Extrema : Note as well that while we ... Extrema : Note as well that while we say an "open interval around x = c " we mean that we can discover some interval ( a, b ) , not involving the endpoints, such that a Also,

Integers, The Dolphins football team gained 16 yards on their first play th... The Dolphins football team gained 16 yards on their first play then lost 11 yards on the next play. Write an addition expression to represent this situation.Find the sum an explain

Definition of logarithms, Q. Definition of Logarithms? Ans. A loga... Q. Definition of Logarithms? Ans. A logarithm to the base a of a number x is the power to which a is raised to get x. In equation format: If x = a y , then log a  x

#title., 20% of $19.95 20% of $19.95

Tangent, A tangent to a curve at a point is a straight line which tou... A tangent to a curve at a point is a straight line which touches but does not intersect the curve at that point. A slope of the curve at a point is defined as the

Constructing a dfa/nfa or a regex), Let ∑ = (0, 1). Define the following la... Let ∑ = (0, 1). Define the following language: L = {x | x contains an equal number of occurrences of 01 and 10} Either prove L is regular (by constructing a DFA/NFA or a rege

Trigonometry, what are cos and sin ? what are cos and sin ?

Houghton Mifflin Harcourt, how to estimate using compatible numbers how to estimate using compatible numbers

Right angle trigonometry, use the Pythagorean Theorem to find the length of... use the Pythagorean Theorem to find the length of the missing side. Then find the indicated trigonometric function of the given angle. give an exact answer with a rational denomina

#tnumarancyitle.., what is classification and how can you teach it? what is classification and how can you teach it?