Probability and binomial distribution?

Could I get some tips/advice/information to help me solve these questions?

1. Sheryl scores on 85% of her foul shots. If she has eight foul shots during a game, what is the probability that she will score on exactly seven of them?

2. Is a normal distribution a reasonable approximation for a binomial distribution with n=50 and p=0.85? Explain.


Thanks!

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Originally Posted by Terra

Could I get some tips/advice/information to help me solve these questions?

1. Sheryl scores on 85% of her foul shots. If she has eight foul shots during a game, what is the probability that she will score on exactly seven of them?

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Read this post

http://www.mathhelpforum.com/math-he...ility-2-a.html

Now find

with and

Quote:

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Originally Posted by Terra

2. Is a normal distribution a reasonable approximation for a binomial distribution with n=50 and p=0.85? Explain.

Thanks!

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The sample size looks a bit small for a normal approximation. Use normal dist for or greater.

Also will give to much of a skew to use a bell shaped curve?

I tried the equation for the first one and my answer is 0.3846. Is that right?

Quote:

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Originally Posted by Terra

I tried the equation for the first one and my answer is 0.3846. Is that right?

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The last decimal place should be 7 if you are rounding to four decimal places.

Thanks guys! You two have been a huge help.