The quality assurance department at a hospital has as one of its responsibilitie

Question

The quality assurance department at a hospital has as one of its responsibilities the verification of medical records. One of the department's employees samples medical records and checks each one for correctness. Historical data suggests that each medical record has a 0.84 probability of being correct. Suppose the employee begins checking medical records at some point in time. Given that the 4th incorrect record is the 74th record checked, on average, how many incorrect records will be found in the first 105 records checked? (Report answer to three decimal places. Answer must be within +/- 0.001 of correct value.) A college student is employed as a door-to-door newspaper salesman. Historical data suggests that the student sells a subscription to 6% of the homes he visits. Suppose the student begins going door-to-door at some point in time. What is the probability that no more than 2 subscriptions are sold in the first 12 homes? (Report answer to three decimal places. Answer must be within +/- 0.001 of correct value.)

Explanation / Answer

Solution:-

6) The probability that no more than 2 subscriptions are sold in the first 12 homes is 0.9684.

x = 2, n = 12

p = 6/100 = 0.06

By applying binomial distribution:-

P(x, n, p) = nCx*p x *(1 - p)(n - x)

P(x < 2) = 0.9684

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