Consider a binomial experiment with n=11 and p=0.3. a. Compute f(0) (to 4 decimals). f(0) =...

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Consider a binomial experiment with n=11 and p=0.3. a. Compute f(0) (to 4 decimals). f(0) = b. Compute f(6) (to 4 decimals).

Answer 1

Answer #1

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Answer:

Sclufio l et X is random Variable XNBChip) XNBOL, 0:3) The p.m.f is given by pCX= x) = 40 =nce. px qnx ; x=0,1,2, an fco- lg

(b)

f(6) = 11C6 * 0.36 * 0.75

= 0.0566

(c)

P(X<= 4) = P( X =0) + P( X =1) + P( X =2) + P( X =3)

= 0.0197 + 0.0932 + 0.1997 + 0.2568 = 0.5694

@ PC 323)= -PCX43) = 1-2 P(X=0) +P(X=D) + P(X=2) = 1-40.0197 +0.09327 0:1997] = ) - 0.3126 = 0.6874 P(X23) Therefore the prob

ELX) = np c| X 0-3 = 33 F(X) =33 Var(x) = n P9 = Il X0-3X0.7 = 231 Var (x =23) 6= npg = D. X0.3X0.7 = 15198 631:5198 6= 1.52

Answer 2

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