) Consider the discrete probability distribution to the right when answering the

Question

) Consider the discrete probability distribution to the right when answering the following 4) question. Find the probability that x equals 4 0044-007-0.31 .0,674.31-.42 42.58 5) From the probability distribution, find the mean and standard deviation for the random5) variable x, which represents the number of bicycles per household in a town of 1000 households. x P(x) 0 0.125 1 0.428 2 0.256 3 0.108 4 0.083 Choose the one alternative that best completes the statement or answers the question. Assume that male and female births are equally likely and that the birth of any child does not 6) affect the probability of the gender of any other children. Find the probability of exactly eight girls in ten births. MULTIPLE CHOICE. C) 0.176 D) 0.08 A) 0.8 B) 0.044

Explanation / Answer

Q5.

f= 1

fx = 1.596

Mean = fx / f = 1.596

Mean square = f x^2 / f = 3.752

Variance = (Mean square) - (Mean)^2

Variance = f x^2 - Mean^2 = 1.205

Stadard Dev= Var = 1.098

Q6.

BIONOMIAL DISTRIBUTION
pmf of B.D is = f ( k ) = ( n k ) p^k * ( 1- p) ^ n-k
where
k = number of successes in trials   
n = is the number of independent trials   
p = probability of success on each trial
P( X = 8 ) = ( 10 8 ) * ( 0.5^8) * ( 1 - 0.5 )^2
= 0.043945

Values ( X ) Frequency(f) fx ( X^2) f x^2 0 0.125 0 0 0 1 0.428 0.4 1 0.428 2 0.256 0.5 4 1.024 3 0.108 0.3 9 0.972 4 0.083 0.3 16 1.328

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