# uniform distribution graph

Distribution Needed for Hypothesis Testing, 49. Find the mean and the standard deviation. σ = = 4.3. The total duration of baseball games in the major league in the 2011 season is uniformly distributed between 447 hours and 521 hours inclusive. Let X = the number of minutes a person must wait for a bus. Independent and Mutually Exclusive Events, 18. The McDougall Program for Maximum Weight Loss. Find the probability that he lost less than 12 pounds in the month. Alan Anderson, PhD is a teacher of finance, economics, statistics, and math at Fordham and Fairfield universities as well as at Manhattanville and Purchase colleges. Cohen's Standards for Small, Medium, and Large Effect Sizes, 51. The cumulative distribution function of X is P(X ≤ x) = . Find the probability that a person is born after week 40. Test for Differences in Means: Assuming Equal Population Variances, 52. The uniform distribution is a continuous probability distribution and is concerned with events that are equally likely to occur. The time (in minutes) until the next bus departs a major bus depot follows a distribution with f(x) = where x goes from 25 to 45 minutes. X = The age (in years) of cars in the staff parking lot. The uniform distribution is a continuous probability distribution and is concerned with events that are equally likely to occur. Suppose it is known that the individual lost more than ten pounds in a month. where a = the lowest value of x and b = the highest value of x. Formulas for the theoretical mean and standard deviation are. Use the following information to answer the next eleven exercises. Sketch and label a graph of the distribution. Find the probability that the truck drivers goes between 400 and 650 miles in a day. Areas under this rectangle represent probabilities. The histogram that could be constructed from the sample is an empirical distribution that closely matches the theoretical uniform dist… Find the third quartile of ages of cars in the lot. Instead, every outcome is equally likely to occur. Write the distribution in proper notation, and calculate the theoretical mean and standard deviation. When working out problems that have a uniform distribution, be careful to note if the data is inclusive or exclusive of endpoints. A random number generator picks a number from one to nine in a uniform manner. The sample mean = 7.9 and the sample standard deviation = 4.33. The distribution assigns a probability of 0 to any value of X outside of the interval from 0 to 10. c. Ninety percent of the time, the time a person must wait falls below what value? f(x) = where x is between 0.5 and 9.5, inclusive. The uniform distribution gets its name from the fact that the probabilities for all outcomes are the same. They can be said to follow a uniform distribution from one to 53 (spread of 52 weeks). We write X ∼ U(a, b). How to Use Microsoft Excel® for Regression Analysis, Mathematical Phrases, Symbols, and Formulas. Instead, a continuous distribution may be illustrated with a line or a curve. The age of cars in the staff parking lot of a suburban college is uniformly distributed from six months (0.5 years) to 9.5 years. Find the probability that she is over 6.5 years old. The data that follow are the square footage (in 1,000 feet squared) of 28 homes. What is the theoretical standard deviation? When working out problems that have a uniform distribution, be careful to note if the data is inclusive or exclusive of endpoints. / Uniform distribution Calculates a table of the probability density function, or lower or upper cumulative distribution function of the uniform distribution, and draws the chart. a is zero; b is 14; X ~ U (0, 14); μ = 7 passengers; σ = 4.04 passengers. Sketch and label a graph of the distribution. This means that any smiling time from zero to and including 23 seconds is equally likely. The distribution is ______________ (name of distribution). Outcomes and the Type I and Type II Errors, 46. Considering only the cars less than 7.5 years old, find the probability that a randomly chosen car in the lot was less than four years old. f (x) = = for 0 ≤ x ≤ 15. Data, Sampling, and Variation in Data and Sampling, 10. Shade the area of interest. All values x are equally likely. State the values of a and b. The probability of waiting more than seven minutes given a person has waited more than four minutes is? A Confidence Interval for a Population Standard Deviation, Known or Large Sample Size, 40. Suppose that the value of a stock varies each day from ?16 to ?25 with a uniform distribution. McDougall, John A. A subway train on the Red Line arrives every eight minutes during rush hour. As a result, the graph that illustrates this distribution is a rectangle. X = a real number between a and b (in some instances, X can take on the values a and b). Find the probability that she is between four and six years old. Areas under the line or the curve correspond to probabilities. Estimating the Binomial with the Normal Distribution, 34. This means you will have to find the value such that , or 75%, of the cars are at most (less than or equal to) that age. The probability a person waits less than 12.5 minutes is 0.8333. b. A fireworks show is designed so that the time between fireworks is between one and five seconds, and follows a uniform distribution. The data that follow are the number of passengers on 35 different charter fishing boats. On the average, how long must a person wait? Use the following information to answer the next three exercises. The height of the rectangle equals 1 divided by the base (1/10 in this case). For each probability and percentile problem, draw the picture. The figure shows the uniform distribution defined over the interval (0, 10). The mathematical statement of the uniform distribution is. The graph of a uniform distribution is usually flat, whereby the sides and top are parallel to the x- and y-axes. Find the probability that the time is between 30 and 40 minutes. A Confidence Interval for A Population Proportion, 42. The uniform distribution defined over the interval (0, 10). Given that the stock is greater than ?18, find the probability that the stock is more than ?21.

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