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The random variable X has a binomial distribution with n = 10 and p = 0.01. Determine the following probabilities.

            a. P(X = 5)                  c. P(X ≥ 9)

            b. P(X ≤ 2)                  d.P(3 ≤ X < 5)

yuhki  Nov 21, 2014

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 #1
avatar+91436 
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The random variable X has a binomial distribution with n = 10 and p = 0.01. Determine the following probabilities.

            a. P(X = 5)                  c. P(X ≥ 9)

            b. P(X ≤ 2)                  d.P(3 ≤ X < 5)

 

a)  10C5*0.01^5*0.99^5

b) P(0 or 1 or 2 successes)=  0.99^10 + 10C1*0.01*0.01^9 + 10C2*0.01^2*0.99^8

c) P(9 or 10 sucesses) = 10C9*0.01^9*0.99 + 0.99^10

d) P(3 or 4 sucesses) = 10C3*0.01^3*0.99^7 + 10C4*0.01^4*0.99^6

 

I think these are right but it is late - i am tired and probability is not my strong suite.

Melody  Nov 22, 2014
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 #1
avatar+91436 
+5
Best Answer

The random variable X has a binomial distribution with n = 10 and p = 0.01. Determine the following probabilities.

            a. P(X = 5)                  c. P(X ≥ 9)

            b. P(X ≤ 2)                  d.P(3 ≤ X < 5)

 

a)  10C5*0.01^5*0.99^5

b) P(0 or 1 or 2 successes)=  0.99^10 + 10C1*0.01*0.01^9 + 10C2*0.01^2*0.99^8

c) P(9 or 10 sucesses) = 10C9*0.01^9*0.99 + 0.99^10

d) P(3 or 4 sucesses) = 10C3*0.01^3*0.99^7 + 10C4*0.01^4*0.99^6

 

I think these are right but it is late - i am tired and probability is not my strong suite.

Melody  Nov 22, 2014

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