# Certain tablets are packed 12 per box. If 5% of the tablets manufactured are chipped, what is the probability that a randomly selectedbox will:1 be free of chipped tablets; and2 have not more than one chipped tablet?3. Five questions are included in a true or false assignment requiring four correct answers to pass. If you guess each answer, what isthe probability that you pass?4. If the true or false assignment is replaced by a multiple choice assignment containing four alternatives, what is the probability thatyou pass?5. If printers experience an error rate of 0,075 errors per page, what is the probability of finding 12 errors in a 200-page book?

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Asked Dec 10, 2019
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Step 2

Binomial distribution:

The binomial distribution gives the probability of number of successes out of n trials in a series of Bernoulli trials.

The probability mass function (pmf) of a binomial random variable X is given as:

Step 3

1.

Calculating the probability that a randomly selected box will be free of chipped tablets:

It is given that 5% of the tablets manufactured are chipped. A sample of 12 boxes is considered. Here, p = 0.05 a...

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