Normal approximation for the binomial probability
Find the normal approximation for the binomial probability that x = 6, where n = 15 and p = 0.3. Compare this probability to the value of P(x=6) found in Table 2 of Appendix B in your textbook.
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A device uses two components in such a way that the device will no longer function if either of the components wears out. Suppose that each component lifetime is random and uniformly distributed on the interval of real numbers [10,20]. Write a com
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Find the area under the standard normal curve:
The diameters of grapefruits in a certain orchard are normally distributed with a mean of 7.25 inches and a standard deviation of 0.75 inches. Show all work. What percentage of the grapefruits in this orchard have diameters less than 6.5 inches?
A set of data is normally distributed with a mean of 200 and standard deviation of 50. What would be the standard score for a score of 300? What percentage of scores is between 200 and 300?
A sample of items is selected from a lot of 50 items known to contain 10 defective items. How many different samples are possible?
The director of a government agency has been given a list of 12 firms cited for unfair labor practices. Because of staff shortage and inefficiency, only one-fourth of these 12 can be charged. How many possible sets of 3 firms can be charged?
A fourth grade student has a list of 8 books for her subjects. Due to rising costs, the student cannot afford to buy all eight at once but must settle for five. How many different sets of books are possible?
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