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

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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)

Nov 21, 2014

#1
+99352
+5

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.

Nov 22, 2014

#1
+99352
+5

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