QUESTION 1 You are interested in modeling the distribution of X, the number of d

Question

QUESTION 1 You are interested in modeling the distribution of X, the number of defects in a spool of copper wire obtained from one of your suppliers. You have obtained a random sample of 250 wire spools to test the following hypotheses. Ho: X is a Poisson (1.5) random variable H1:Xis not a Poisson (1.5) random variable Note that the value 1.5 was not estimated from data. The following table contains some of the observed and expected values corresponding to a set of pre-specified intervals. Interval Observed Expected X-0 X-1 X-2 X=3 X=4 43 9183.67 55.78 28 20 83.53 X>5 What is the expected frequency for X-2? (Report answer to three decimal places. Answer must be within +- 0.001 of correct value.)

Explanation / Answer

n = 250

We have to find expected frequency for x = 2.

For finding this expected frequency we have to find P(X = 2)

P(X = 2) = 0.2510 ( Using poisson table)

So expected frequency for x = 2 is 0.2510 *250 = 62.75

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