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The sum of two uniform random numbers. Generate two random numbers between 0 and 1 and take Y to be their sum. Then Y is a continuous random variable that can take any value between 0 and 2. The density curve of Y is the triangle shown in given Figure.
(a) Verify by geometry that the area under this curve is 1.
(b) What is the probability that Y is less than 1? Sketch the density curve, shade the area that represents the probability, then find that area. Do this for (c) also.
(c) What is the probability that Y is greater than 0.6?
a simple random sample of size n40 is drawn from a population. the sample mean is found to be x with the line above it
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sometimes the geometric random variable is defined to be the number of trials x preceding the first success. write down
The special case of the gamma distribution in which a is a positive integer n is called an Erlang distribution. If we replace b by 1/l in Expression (4.8), the Erlang pdf is
the following table contains the probability distribution fornbspxnbsp the number of retransmissions necessary to
In exercise identify (a) sample and (b) population. Also, find whether sample is likely to be representative of population.
Describe the relevant population and the source (e.g. newspaper, TV, radio, internet, etc.). Explain why you do not believe it is accurate.
The main purpose of this exercise is to check your understanding of significance level, p-values and power .
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Do all three prototypes have the same average range? Construct an ANOVA table, and carry out the test. Explain your results.
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