calculate the probability P(Xor equal 7) where X~B(10,0.3) both exactly and by using a normal approximation

Question

calculate the probability P(X>or equal 7) where X~B(10,0.3) both exactly and by using a normal approximation

amistre64 · Answer

mean = np
standard deviation = sqrt(npq)

should give allow the approximations

anonymous · Answer

should give all of the approximations how?

anonymous · Answer

could you give me an example?

amistre64 · Answer

a normal distribution uses a mean and standard deviation.

the mean of a binomial distribution is:  np
the standard deviation of a binomial distribution is:  sqrt (npq)

in this case;  n = 10, p=.3,  and q is defined as 1-p,  or .7 in this case.

amistre64 · Answer

the other caveat with the approximation has to do with adding 1/2 to the endpoints of the interval.

X >= 7

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