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(a) A die is rolled three times with outcomes X1, X2, and X3. Let Y3 be the maximum of the values obtained. Show that
P (Y3 ≤ j) = P (X1 ≤ j)3 .
Use this to find the distribution of Y3. Does Y3 have a bell-shaped dis- tribution?
(b) Now let Yn be the maximum value when n dice are rolled. Find the distribution of Yn. Is this distribution bell-shaped for large values of n
A sample of size n = 14 is selected from a normal population to construct a 95% confidence interval estimate for a population mean. The interval was computed to be (7.82 to 9.64). Determine the sample standard deviation.
Why are the utilization statistics different across the different generating sources? What percent of total electric sales (in GWh) is nonresidential? Why are operating statistics like this useful to analysts?
Questions based on binomial distribution, variance of the binomial distribution, discrete random variable and continuous random variables.
customers arrive at a local atm at an average rate of 20 perhours. assume the time arrivals follow the exponential
mars inc. manufactures mampms one of the most popular candy treats in the world. the milk chocolate candies come in a
a population has a mean of 100 and standard deviation of 20. if you select a single score from this population on the
Your workplace reduces all workplace scores on particular employee aptitude test in z-scores which are placed in district-wide distribution of scores.
It's your first day at the Jedi Temple, working as a lightsaber manufacturer. Your first task on the job is to analyze the control and capability of this process. Your main concern is to see if the lightsabers fit within the required length specif..
Assume that a set of test scores is normally distributed with a mean of 100 and a standard deviation of 20. Use the 68-95-99.7 rule to find the following quantities.
Scrap rates per thousand (parts whose defects cannot be reworked) are compared for 5 randomly selected days at three plants. Does the data prove a significant difference in mean scrap rates?
The owner of Maumee Ford-Mercury wants to study the relationship between the age of a car and its selling price. Listed below is a random sample of 12 used cars sold at the dealership during the last year.
You are in charge of a new study on the effect of caffeine and memory. From , a previous pilot study , you find that the effect size is 0.6. You want to have a type I error at 0.05 and a type II error of 0.2 . In your study you split your sample i..
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