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Binomial Distributions and Z-Scores

1. A door to door salesperson believes that the probability of making a sale when a person is at home is 0.4 he visits 10 homes. When someone is at home find the probability of making a) exactly 7 sales b) more than 7 sales

2.For a binomial distribution with an n=200 and p=0.3 calculate the probability of obtaining between 50 and 70 successes inclusive in 200 trials .
Use the approximation to the binomial .

3.Find the area under the standard normal curve in each case below:
a) below a zscore of 2.5
b) between the z scores of -2.33 and 0.5
c) above the zscore of -1.3

4. A quality control tech is testing the accuracy of a certain type of resistor. He finds that the distribution of resistance is normal with a mean of 14.06 ohms and a standard deviation of 1.73 ohms

A) what is the probability that one of these resistors picked at random will have a resistance of 16 ohms or more?

B) What is the probability that one of these resistors picked at random will have a resistance between 13.06 ohms and 15.06 ohms, inclusive?

Solution Summary

Binomial Distributions and Z-Scores are investigated. The solution is detailed and well presented.

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