SOLUTION: assume the random variable X has a binomial distribution with the given probability of obtaining a success find the following probability, given the sample size rounded your answe

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Question 375368: assume the random variable X has a binomial distribution with the given probability of obtaining a success find the following probability, given the sample size rounded your answer to 3 decimal places
P(x> or =3)n=4, p=0.5

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi,
Note: The probability of x successes in n trials is:
P = nCx* p%5Ex%2Aq%5E%28n-x%29 where p and q are the probabilities of success and failure respectively.
In this case p & q are = 1/2 or .5
nCx = n%21%2F%28x%21%28n-x%21%29%29 4C3 = 4 4C4 = 1
P(x≥3)= P(3) + P(4)
P(3)= 4*(.5)^3(.5) = .25
P(4)= .5^4 = .0625
P(x≥3)= .25 + .0625 = .3125