Binomial Problems Using Two Methods

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Mathematics

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Let X be a binomial random variable with n = 20 and p = .3.
A. Write the expression for P(X = 6) in terms of the formula (n/x)(p)^x (1-p)^n-x
, then evaluate it using your calculator.

P( X  6)  20 C6 0.3 (1  0.3) 206  0.1916
6

B. Using probability notation, P(X = x), write out all the probabilities you'd need
to add up in order to calculate P(X < 6), and then evaluate it using your
calculator.
5

P( X  6)   20 C n 0.3 (1  0.3) 20n
n

n 1

 0.0008  0.0068  0.0716  0.1304  0.1789
 0.4164
C. For part B, why did you ...


Anonymous
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