3. Forty percent of chocolates are black chocolates. Let Y denotes the number of black chocolates among ten randomly selected chocolates. Find the probability that Y is a) exactly 5; b) more than 8; c) at most 8.

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3. Forty percent of chocolates are black chocolates. Let Y denotes the number of black chocolates
among ten randomly selected chocolates. Find the probability that Y is a) exactly 5; b) more than 8; c) at
most 8.
How to build a confidence interval of the population mean using a large sample size?
4. New devices manufactured by a company, are designed to have a lifetime of 27000 hours. Tests with
30 devices show a sample mean of 26350 hours and a sample standard deviation of 920 hours. At a 0.05
level of significance, perform a hypotheses testing to check the claim.
Transcribed Image Text:3. Forty percent of chocolates are black chocolates. Let Y denotes the number of black chocolates among ten randomly selected chocolates. Find the probability that Y is a) exactly 5; b) more than 8; c) at most 8. How to build a confidence interval of the population mean using a large sample size? 4. New devices manufactured by a company, are designed to have a lifetime of 27000 hours. Tests with 30 devices show a sample mean of 26350 hours and a sample standard deviation of 920 hours. At a 0.05 level of significance, perform a hypotheses testing to check the claim.
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