Question 1
X is a random variable with the probability function:
f(X) = X/6 for X = 1, 2 or 3
The expected value of X is
◦
0.333
◦
0.500
◦
2.000
◦
2.333
Question 2
"DRUGS R US" is a large manufacturer of various kinds of liquid vitamins. The quality control department has noted that the bottles of vitamins marked 6 ounces vary in content with a standard deviation of 0.3 ounces. Assume the contents of the bottles are normally distributed.
| a. | What percentage of all bottles produced contains more than 6.51 ounces of vitamins? |
| b. | What percentage of all bottles produced contains less than 5.415 ounces? |
| c. | What percentage of bottles produced contains between 5.46 to 6.495 ounces? |
| d. | Ninety-five percent of the bottles will contain at least how many ounces? |
| e. | What percentage of the bottles contains between 6.3 and 6.6 ounces? |
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