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Given a random sample size n=1600 from a binomial probability distribution with P=0.40 do the following......

Given a random sample size n=1600 from a binomial probability distribution with P=0.40 do the following... with probability of 0.20 Find the number of successes is less than how many? Please show your work

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Answer #1

We are given the distribution here as:

As the sample size here is very very large, the distribution could be approximated to a normal distribution here as:

From standard normal tables, we have here:

P(Z < -0.842) = 0.2

Therefore the number of successes is computed here as:

= Mean -0.842*Std Dev

Therefore 623 is the required number of successes here.

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