Question 87983: I need help with these problems:
Problem #1
A die is tossed 120 times. Find the probability of getting the following result.
Fewer than twenty-two 6's
Problem #2
A company is taking a survey to find out whether people like its product. Their last survey indicated that 70% of the population like the product. Based on that, of a sample of 58 people, find the probability of the following.
a) All 58 like the product
b)From 28 to 30 (inclusive) like the product.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Problem #1
A die is tossed 120 times. Find the probability of getting the following result.
Fewer than twenty-two 6's
Answer: binomcdf(120,1/6,21) = 0.652..
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Problem #2
A company is taking a survey to find out whether people like its product. Their last survey indicated that 70% of the population like the product. Based on that, of a sample of 58 people, find the probability of the following.
a) All 58 like the product
Answer: 0.7^58 = 1.03678 x 10^-9
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b)From 28 to 30 (inclusive) like the product.
Answer: binomcdf(58,0.7,30) - binomcdf(58,0.7,27) = 0.002438...
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Cheers,
Stan H.
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