How to use normal approximation and continuity correction
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How to use normal approximation and continuity correction

[From: ] [author: ] [Date: 11-12-02] [Hit: ]
B~(120,Thats satisfied here.The approximation is X~N(np,So X~N(90, 22.As its greater than or equal to we subtract 0.......
Each plant has a probability of 3/4 of having red blosoms and the blossom colours of separate plants are independent. What is the probability of obtaining at least 80 red-blossomed plants when 120 plants are grown from seeds?

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So where are you having a problem?

Right, well as it stands it's a binomial, B~(120, 3/4)

The normal approximates the binomial if np>5 and nq>5 (where q=1-p)
That's satisfied here.

The approximation is X~N(np, npq)

So X~N(90, 22.5) and we need P(X>(or equal to)80)
As it's "greater than or equal to" we subtract 0.5 (continuity correction)
So we need P(X>79.5)

Can you do it now?
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