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It is known that any item produced by a certain machine will be NOT be defective with probability p, independent of any other item. Let's

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It is known that any item produced by a certain machine will be NOT be defective with probability p, independent of any other item. Let's suppose you have a random sample of 30 items from this machine, and random variable X denotes the number of items that are NOT defective in this sample. You want to nd out the value of p for which the probability P (8 S X S 17) is maximized. Let's call this maximum value PMAX. Use a one-way table in Excel where you change p from 0.1 to 0.9 with increment of 0.1 to nd this maximum value PM AX . Which of the following is the correct value of PM AX ? (Single option correct) Hint: Think Binomial o 0.951 0 0.962 O 0.884 o 0.935

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