# Question

When the number of trials, n, is large, binomial probability tables may not be available. Furthermore, if a computer is not available, hand calculations will be tedious. As an alternative, the Poisson distribution can be used to approximate the binomial distribution when n is large and p is small. Here the mean of the Poisson distribution is taken to be µ =np. That is, when n is large and p is small, we can use the Poisson formula with µ =np to calculate binomial probabilities, and we will obtain results close to those we would obtain by using the binomial formula. A common rule is to use this approximation when. To illustrate this approximation, in the movie Coma, a young female intern at a Boston hospital was very upset when her friend, a young nurse, went into a coma during routine anesthesia at the hospital. Upon investigation, she found that 10 of the last 30,000 healthy patients at the hospital had gone into comas during routine anesthesias. When she confronted the hospital administrator with this fact and the fact that the national average was 6 out of 100,000 healthy patients going into comas during routine anesthesias, the administrator replied that 10 out of 30,000 was still quite small and thus not that unusual. A. Use the Poisson distribution to approximate the probability that 10 or more of 30,000 healthy patients would slip into comas during routine anesthesias, if in fact the true average at the hospital was 6 in 100,000.

b. Given the hospital’s record and part a, what conclusion would you draw about the hospital’s medical practices regarding anesthesia?

b. Given the hospital’s record and part a, what conclusion would you draw about the hospital’s medical practices regarding anesthesia?

## Answer to relevant Questions

Suppose that an automobile parts wholesaler claims that .5 percent of the car batteries in a shipment are defective. A random sample of 200 batteries is taken, and four are found to be defective. (1) Use the Poisson ...Suppose that you own a car dealership and purchase (randomly select) 7 cars of a certain make from a production run of 200 cars. Of the 200 cars, 160 are destined to last at least five years without needing a major repair. ...Aretail store has implemented procedures aimed at reducing the number of bad checks cashed by its cashiers. The store’s goal is to cash no more than eight bad checks per week. The average number of bad checks cashed is ...Recall from Example 5.5 that Sound City also sells the ClearTone- 400 satellite car radio. For this radio, historical sales records over the last 100 weeks show 6 weeks with no radios sold, 30 weeks with one radio sold, 30 ...In each case, sketch the two specified normal curves on the same set of axes: a. A normal curve with μ = 20 and σ = 3, and a normal curve with μ = 20 and σ = 6. b. A normal curve with μ = 20 and σ = 3, and a normal ...Post your question

0