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There are 4 cards numbered 1,3,5and 7 one number on one card . Two cards are drawn at random! Without replacement . Let x denote the sum of the numbers on the two cards .Find the mean and variance of x

Posted by Vishaal Velu 7 years ago

CBSE > Class 12 > Mathematics

1 answers

Soumya Ghoshal 6 years, 8 months ago

Let the cards can be (1,3),(1,5),(1,7),(3,5),(3,7),(5,7)

Now x is the sum of two cards

Possible set of x is {4,6,8,8,10,12}

Now the mean is (4+6+8+8+10+12)/6

=48/6

Variance=1/6(4^2+2^2+0^2+0^2+2^2+4^2)

=1/6(16+4+0+0+4+16)

= 40/6

=6.66

1Thank You

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