A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment. n equals 9, p equals 0.9, x less than or equals 3
Answer
We have sample size n= 9
probability p = 0.9
we have to find probability of less than or equal 3 trials.
Using the binomial probability formula, we can get the probability of getting 0,1,2 and 3
P(x = 0) =
P(x = 1) =
P(x = 2) =
P(x = 3) =
Adding all the probabilities, we get
Probability of less than or equal to 3 = P(x=0)+P(x+1)+P(x=2)+P(x=3) = 0.00000000+0.00000000+0.00000292+0.00006124
we get
P(x less than or equal to 3) = 0.00006423
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