Question

In: Statistics and Probability

A candy factory has a 80% probability of making a good gumdrop. You work in the...

A candy factory has a 80% probability of making a good gumdrop. You
work in the quality control department and take a simple random sample
of 8 gumdrops.

What is the probability of 7 gumdrops in your sample being good?

What is the probability of at least 4 good gumdrops in the sample?

What is the probability of getting no more than 2 bad gumdrops in your
sample?

What are the mean and standard deviation of the number of good
gumdrops over many samples of size 8?

If you increase the sample to 16 gumdrops, what is the probability of 7 gumdrops in your sample being good?

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