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.

A college would like to have an entering class of 1200 students. Because not all students who are offered admission accept, the college admits more than 1200 students. Past experience shows that about 70% of the students admitted will accept. The college decides to admit 1500 students. Assuming that students make their decisio

Share 1 real-world binomial distribution situation and 1 real-world Poisson distribution situation. Be sure to explain why each example is defined as binomial or Poisson. How would you characterize the difference between the two types of distributions?

Consider a binomial distribution with 15 identical trials, and a probability of success of 0.5.
Find the probability that x = 2 using the binomial tables.
Use the normal approximation to find the probability that x = 2

A continuous random variable, x, is normally distributed with a mean of $1000 and a standard deviation of $100. Convert each of the following x values into its corresponding z-score.
a. x = $1000
b. x = $750
c. x = $1100
d. x = $950
e. x = $1225
2.Using the standard normal table, find the following probabilities

38. Suppose x is a binomial random variable with n = 3 and p = 3
a. calculate the value of p(x), x = 0,1,2,3 using the formula for a binomial probability distribution
b. using your answers to part a, give the probability distribution for x in tabular form
42. The binomial probability distribution is a family of proba

1. True or False? Replacement is allowed in binomial experiments. Explain your answer.
2. True or False? Two normal distributions that have the same standard deviation have the same shape, regardless of the relationship between their means. Explain your answer.

Questions about statistics (please see attached).
1. The graph shows the results of a survey of drivers who were asked to name the most annoying habit of other drivers. You randomly select six people who participated in the survey and ask each one of them to name the most annoying habit of other drivers. Let x represent the n

Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p.
N = 50, p = 0.5
The mean, ยต, is ______ (round to nearest tenth as needed)
The variance is ______ (round to nearest tenth as needed)
The standard deviation is ______ (round to nearest tenth as needed)

The binomial distribution is regularly used in business applications.
Why do you think this is the case?
Can you give me two examples from a professional environment.
Can you define binomial distribution?