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

What is the smaller probable value of this number, The sum of the square of... The sum of the square of a number and 12 times the number is -27. What is the smaller probable value of this number? Let x = the number.  The statement that is "The sum of the

What is the length of the longer base, The longer base of a trapezoid is th... The longer base of a trapezoid is three times the shorter base. The nonparallel sides are congruent. The nonparallel side is 5 cm more that the shorter base. The perimeter of the t

Joey participated-a-thon how many hours did joey team dance, Joey participa... Joey participated within a dance-a-thon. His team begin dancing at on Friday 10 A.M. and stopped at 6 P.M. on Saturday. How many hours did Joey's team dance? From 10 A.M. Frida

Determine the height of the washington monument, Determine the height of th... Determine the height of the Washington Monument to the nearest tenth of a meter. a. 157.8 m b. 169.3 m c. 170.1 m d. 192.2 m c. The height of the monument is the add

Example for comparison test for improper integrals, Example for Comparison ... Example for Comparison Test for Improper Integrals Example:  Find out if the following integral is convergent or divergent. ∫ ∞ 2 (cos 2 x) / x 2 (dx) Solution

What is geometry formula to estimate distance, Danielle requires knowing th... Danielle requires knowing the distance around a basketball court. What geometry formula will she use? The perimeter of a rectangle is two times the length plus two times the wi

Volume of solids, find the volume of a rectangular based right pyramid with... find the volume of a rectangular based right pyramid with its base 18 cm by 24 cm and the slanted edge 39 cm

Determine the function f ( x ) , Determine the function f ( x ) .       ... Determine the function f ( x ) .             f ′ ( x )= 4x 3 - 9 + 2 sin x + 7e x , f (0) = 15 Solution The first step is to integrate to fine out the most general pos

Alternating series test - sequences and series, Alternating Series Test - S... Alternating Series Test - Sequences and Series The final two tests that we looked at for series convergence has needed that all the terms in the series be positive.  Actually t

Equation of the line which passes through the two points, Example: Write do... Example: Write down the equation of the line which passes through the two points (-2, 4) and (3, -5). Solution At first glance it might not appear which we'll be capable to