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In: Statistics and Probability

A computer is programmed to produce at random a single digit from the list 0, 1,...

A computer is programmed to produce at random a single digit from the list 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. The program is run 8 times. Let Y be the number zeros that occur. i) If Y follows the Binomial Distributions, state two assumptions for this.        ii) Calculate the values of the parameters.            iii) Calculate P(Y<4)              b) A batch of capsules of a certain drug contains 4% of damaged capsules. A bottle contains 42 of these capsules. Calculate mean and standard deviation of the number of damaged capsules in such a bottle, assuming that each capsule was randomly selected for inclusion in the bottle.

b) A batch of capsules of a certain drug contains 4% of damaged capsules. A bottle contains 42 of these capsules. Calculate mean and standard deviation of the number of damaged capsules in such a bottle, assuming that each capsule was randomly selected for inclusion in the bottle

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