Find the probability distribution of x, Mathematics

Assignment Help:

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

Related Discussions:- Find the probability distribution of x

H, 6987+746-212*7665

6987+746-212*7665

Integration and differentiation, Integration and Differentiation Diffe...

Integration and Differentiation Differentiation deals along with the determination of the rates of change of business activities or merely the process of finding the derivativ

Derive the marshalian demand functions, (a) Derive the Marshalian demand fu...

(a) Derive the Marshalian demand functions for the following utility function: u(x 1 ,x 2 ,x 3 ) = x 1 + δ ln(x 2 ) x 1 ≥ 0, x 2 ≥ 0 Does one need to consider the is

How many feet is the width of the deck, A pool is surrounded through a deck...

A pool is surrounded through a deck that has the similar width all the way around. The total area of the deck only is 400 square feet. The dimensions of the pool are 18 feet throug

Vector calculus, If F ( x,y, z) = x y² y4 i + ( 2x2 y + z) j - y3 z² k, fin...

If F ( x,y, z) = x y² y4 i + ( 2x2 y + z) j - y3 z² k, find: i). question #Minimum 100 words accepted#

Find out least common multiple, Find out Least Common Multiple? The sma...

Find out Least Common Multiple? The smallest number that is a common multiple of two numbers (that is, both numbers share the same multiple) is called the least common multiple

How many cubic centimetres of cork dust will be required?, A cylindrical ve...

A cylindrical vessel of diameter 14 cm and height 42 cm is fixed symmetrically inside a similar vessel of diameter 16 cm and height 42 cm. The total space between two vessels is fi

Right angle triangle, If the points for a right angle triangle are XYZ wher...

If the points for a right angle triangle are XYZ where do I mark the points?

Progressions, what value of k is he sequence 2k+4,3k-7,k+12 are in an arith...

what value of k is he sequence 2k+4,3k-7,k+12 are in an arithmetic sequence is

Application of statistics-quality control, Quality Control Normally th...

Quality Control Normally there is a quality control departments in every industry which is charged along with the responsibility of ensuring about the products made do meet th

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages