7. If X has a binomial distribution with the parameters n= 100 and 0 = 0.4. That is the probability distribution is given by los-x 6.). x-0, 1, 2, 3..100 /00 Nex: 10,0.4) () (o45 G () Show that b(x; 100, 0.4) is a probability distribution. (i) Show that E(X)= 40

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Probability & Statistics 1

7. If X has a binomial distribution with the parameters n 100 and 0 0.4. That
is the probability distribution is given by
los-X
b(x; 100, 0.4) -() (o +5 (o.0). x-0, 1, 2, 3.00
)x=0, 1, 2,3.10
(i) Show that b(x; 100, 0.4) is a probability distribution.
(ii) Show that E(X) = 40
Transcribed Image Text:7. If X has a binomial distribution with the parameters n 100 and 0 0.4. That is the probability distribution is given by los-X b(x; 100, 0.4) -() (o +5 (o.0). x-0, 1, 2, 3.00 )x=0, 1, 2,3.10 (i) Show that b(x; 100, 0.4) is a probability distribution. (ii) Show that E(X) = 40
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