A survey has a margin error of +/– 5%. In the survey, 91 out of 100 people said that they were pleased with their phone service. The phone company has 8000 customers. What is the range of the...
A survey has a margin error of +/– 5%. In the survey, 91 out of 100 people said that they were pleased with their phone service. The phone company has 8000 customers. What is the range of the...
The lifetime of a new television has an exponential distribution with an average lifetime of 7.5 years. As a sales incentive the company offers guaranteed free replacement for any tv that fails within...
A company’s manufacturing process uses 500 gallons of water at a time, a scrubbing machine then removes most of the chemical pollutant before pumping the water into a lake. Legally the treated water...
Question/Problem: Data Set 1 in Appendix B lists the white blood cell counts (1000 cells/µL) of 40 randomly selected women. The mean of those 40 values is 7.15 and the standard deviation...
Question/Problem: Identify the distribution (normal, Student t, chi-square) that applies to each of the following situations. (If none of the three distributions is appropriate, then so state...
Find P(Z>1)
I have been given values for 10%, 50% and 90% of a distribution. From these numbers, how can I compute the mean and standard deviation? I'll give an example....Temperature distribution 10th...
A researcher has collected a large sample of IQ scores from his friends and relatives. He claims that because his sample is large and the distribution of his sample scores is very close to the bell...
According to the Nielsen Company, 30% of U.S. households have a digital video recorder. Suppose a random sample of 15 households was taken. The researcher is interested in computing probabilities...
Length of a human pregnancy is 9 months. Mean is 266 days and standard deviation 16 days. What percentage of pregnancies last less than 250 days?
a) Suppose X is uniformly distributed between 0 and 1. Find the distribution of Y where Y = a X + b. b) Using the result in (a) and the function [] such that [S] = the rounded value of...
Steve, Jerry, and Ron were paid $29.25 to remove garden gnomes. They each worked four hours, except for Ron, who was 45 minutes late. How much of the $29.25 should Ron receive?
Probability Distributions A probability distribution is a mapping of all the possible values of a random variable to their corresponding probabilities for a given sample space. The probability distribution is denoted as which can be written in short form as The probability distribution can also be referred to as a set of ordered pairs of outcomes and their probabilities... read more
Introduction to Probability Distributions - Random Variables A random variable is defined as a function that associates a real number (the probability value) to an outcome of an experiment. In other words, a random variable is a generalization of the outcomes or events in a given sample space. This is possible since the random variable by definition can change so we can use the same... read more