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Assuming that X is a binomial random variable with n = 10 and p = 0.25, find the probability, P for each of the following values of X. (a) X = 4. (Give the answer to four decimal places.) P(X = 4) = (b) X = 2. (Give the answer to four decimal places.) P(X = 2) = (c) X = 1. (Give the answer to four decimal places.) P(X = 1) = (d) X = 8. (Give the answer to seven decimal places.) P(X = 8) =

Respuesta :

Answer:

Listed below

Step-by-step explanation:

X is a binomial random variable with n = 10 and p = 0.25

Hence P(X=r) =[tex]10Cr (0.25)^r (1-0.25)^{10-r}[/tex], r=0,1,2...10

Use the above to get probability for any r

a) [tex]P(X=4) = 0.1460[/tex]

b) [tex]P(X=2) = 0.2816[/tex]

c) [tex]P(X=1) = 0.1877[/tex]

d) [tex]P(x=1) =0.18771172[/tex]

[tex]P(X=8) = 0.00038624[/tex]

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