- 4.3.1: Let X Poisson(4). Find a. P(X = 1) b. P(X = 0) c. P(X < 2) d. P(X >...
- 4.3.2: The number of flaws in a given area of aluminum foil follows a Pois...
- 4.3.3: In a certain city, the number of potholes on a major street follows...
- 4.3.4: Geologists estimate the time since the most recent cooling of a min...
- 4.3.5: A data center contains 1000 computer servers. Each server has proba...
- 4.3.6: One out of every 5000 individuals in a population carries a certain...
- 4.3.7: The number of hits on a certain website follows a Poisson distribut...
- 4.3.8: The number of cars arriving at a given intersection follows a Poiss...
- 4.3.9: A random variable X has a binomial distribution, and a random varia...
- 4.3.10: A chemist wishes to estimate the concentration of particles in a ce...
- 4.3.11: A microbiologist wants to estimate the concentration of a certain t...
- 4.3.12: Two-dimensional Poisson process. The number of plants of a certain ...
- 4.3.13: The number of defective components produced by a certain process in...
- 4.3.14: The probability that a certain radioactive mass emits no particles ...
- 4.3.15: The number of flaws in a certain type of lumber follows a Poisson d...
- 4.3.16: Grandma is trying out a new recipe for raisin bread. Each batch of ...
- 4.3.17: Mom and Grandma are each baking chocolate chip cookies. Each gives ...
- 4.3.18: You have received a radioactive mass that is claimed to have a mean...
- 4.3.19: Someone claims that a certain suspension contains at least seven pa...
- 4.3.20: A physicist wants to estimate the rate of emissions of alpha partic...
- 4.3.21: (Requires material from Section 3.3.) Refer to Example 4.27. Estima...
Solutions for Chapter 4.3: The Poisson Distribution
Full solutions for Statistics for Engineers and Scientists | 4th Edition
2 k factorial experiment.
A full factorial experiment with k factors and all factors tested at only two levels (settings) each.
a-error (or a-risk)
In hypothesis testing, an error incurred by failing to reject a null hypothesis when it is actually false (also called a type II error).
In a fractional factorial experiment when certain factor effects cannot be estimated uniquely, they are said to be aliased.
An attribute control chart that plots the total number of defects per unit in a subgroup. Similar to a defects-per-unit or U chart.
The tendency of data to cluster around some value. Central tendency is usually expressed by a measure of location such as the mean, median, or mode.
Coeficient of determination
See R 2 .
The mean of the conditional probability distribution of a random variable.
The probability of an event given that the random experiment produces an outcome in another event.
A correction factor used to improve the approximation to binomial probabilities from a normal distribution.
A probability distribution for a continuous random variable.
Cumulative sum control chart (CUSUM)
A control chart in which the point plotted at time t is the sum of the measured deviations from target for all statistics up to time t
The amount of variability exhibited by data
Distribution free method(s)
Any method of inference (hypothesis testing or conidence interval construction) that does not depend on the form of the underlying distribution of the observations. Sometimes called nonparametric method(s).
A study in which a sample from a population is used to make inference to the population. See Analytic study
Exponential random variable
A series of tests in which changes are made to the system under study
The distribution of the random variable deined as the ratio of two independent chi-square random variables, each divided by its number of degrees of freedom.
Fractional factorial experiment
A type of factorial experiment in which not all possible treatment combinations are run. This is usually done to reduce the size of an experiment with several factors.
A function that is used to determine properties of the probability distribution of a random variable. See Moment-generating function
Effects in a fractional factorial experiment that are used to construct the experimental tests used in the experiment. The generators also deine the aliases.