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1. Suppose a random variable X is beta distributed with parameters α = β = 3.
Find X's probability density function. Then determine P(X ≥ 0.75).
2. Suppose that for a beta distribution n = 12, α = 6 and p = 0.30. Using (7.68), find the probability that X is less than or equal to p. What is the probability that X is less than or equal to 0.7?
3. Bill and Alice's Country Store has propane tanks that are filled every Wednesday. Experience indicates that the proportion of gas used between fills is beta distributed with α = 3 and β = 2. Determine the probability that at least 85% of the gas will be used between fills.
4. The proportion of defective parts produced by a metal stamping machine follows a beta distribution with α = 1 and β = 10. Find:
(a) The probability that the proportion of defective units exceeds 5%
(b) The probability that the proportion defective is more than one standard deviation above the mean.
a doctors office staff studied the waiting times for patients who arrive at the office with a request for emergency
Give an example of a null and alternative hypotheses. This can be a personal item or something at work. Additionally, identify the Type I and Type II Errors that could occur with your decision-making process.
The Dean of Students believes that the costs are greater this semester. What is the test value for this hypothesis?
hoping to lure more shoppers downtown a city built a new public parking garage in the central business distri. the city
Which trend model do you think is best to make forecasts for the next 3 years? Why? (e) Use each of the three fitted trend equations to make a numerical forecast for 2007.
Distinguish among classical or a priori probability, relative frequency or empirical probabil- ity, and subjective or personalistic probability. What is the disadvantage of each?
The kinds of statistical methods that were used to formulate the author's argument.
Suppose that the incident rate of a particulat kind of accient is 1/10,000 persons. In a town of 50,000 persons, what is the probability that there is no accident of this kind?
the senior executive of a publishing firm would like to train employees to read faster than 1000 words per minute. a
The following frequency distribution reports the number of frequent flier miles, reported in thousands, for employees of Brumley Statistical Consulting, Inc. during the first quarter of 2004.
while writing an article on the high cost of college education a reporter took a random sample of the cost of new
the following data represent the breaking strengths of samples of 20 gauge insulated copper wire from three different
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