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The average number of calories in a 1.5 -ounce chocolate bar is $225 .$ Suppose that the distribution of calories is approximately normal with $\sigma=10 .$ Find th...

Question

The average number of calories in a 1.5 -ounce chocolate bar is $225 .$ Suppose that the distribution of calories is approximately normal with $\sigma=10 .$ Find the probability that a randomly selected chocolate bar will have a. Between 200 and 220 calories b. Less than 200 calories

The average number of calories in a 1.5 -ounce chocolate bar is $225 .$ Suppose that the distribution of calories is approximately normal with $\sigma=10 .$ Find the probability that a randomly selected chocolate bar will have a. Between 200 and 220 calories b. Less than 200 calories



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A geologist has collected 10 specimens of basaltic rock and 10 specimens of granite. The geologist instructs a laboratory assistant to randomly select 15 of the specimens for analysis.
(a) What is the pmf of the number of granite specimens selected for analysis?
(b) What is the probability that all specimens of one of the two types of rock are selected for analysis?
(c) What is the probability that the number of granite specimens selected for analysis is within 1 standard deviation of its mean value?


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