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What is the probability that the number of successes

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1a. Suppose that the probability that a certain experiment will be successful is 0.35, and let X denote the number of successes that are obtained in 17 independent performances of the experiment. What is the probability that the number of successes is between 6 and 10 inclusive?

1b. A machine that cuts corks for wine bottles operates in such a way that the distribution of the diameter of the corks produced is well approximated by a normal distribution with mean 3 cm and standard deviation 0.1 cm. The specifications call for corks with diameters between 2.9 and 3.1 cm. A cork not meeting the specifications is considered defective. What proportion of corks produced by this machine are defective?

Reference no: EM132848289

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