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.

...Distribution, Binomial, Random Samples, & z-scores. 1. Determine whether each of the distributions given below represents a probability distribution. ...

Calculating z-Scores, Normal Probabilities and Binomial Probabilities. ... that would NOT be in the tail of the distribution of all possible z-scores in a ...

Distributions, Standard Deviations and Z-Scores. ... James can conclude that the distribution of the ... the number belonging to an HMO has a binomial distribution. ...

... use of z-scores and standard normal tables. Other basic concepts include sample mean calculations and the normal approximation to the binomial distribution. ...

... c. Calculate the mean and standard deviation of these z-scores. ... and Inferential Statistics (with no mention of the Binomial Distribution, correction for ...

... normal distribution to approximate the binomial distribution when possible. ... 5. Find the normal distribution shown on #5 ... 6. Find the indicated z-scores shown on ...

Comparing z-scores and probability. Please see the attached file. ... (Assume the Binomial distribution applies.). 0.347 0.544 0.653 0.456. 2. Comparing Scores. ...

... So, finding the z-scores gives: ... a) Since X follows a Binomial distribution with parameters n = 15 and p = 0.5, the probability mass function of X is given by ...

... Critical value = one tail T distribution 99% confidence level is ... The expert examines probability, normal distributions, and binomial probabilities for ...

... shaped distribution (similar in shape to the distributions of the ... Will it follow a binomial distribution? ... This means that the distribution of x is normal and ...