13) Determine if the random variable x is discrete or continuous. Explain your r
ID: 3065404 • Letter: 1
Question
13) Determine if the random variable x is discrete or continuous. Explain your reasoning. x represents the number of rainy days in the month of June in Portland, Oregon.
Problems 13-17. The number of defects for various numbers of batches of DVDs at a manufacturer were recorded in the table below.
Defects 0 1 2 3 4 5
Batches 95 113 87 64 13 8 14.
Use the frequency distribution to construct a probability distribution.
15. What is the mean of the probability distribution? 2
16. What is the variance of the probability distribution?
17. What is the standard deviation of the probability distribution?
18. Interpret the results in the context of the real-life situation (See the interpretation in worked example 6 in the text). You must say something about both the mean and the variation for this distribution.
Explanation / Answer
18)
Mean : Theaverage defects that can be expected is 2.155
Variance : variance is a measure of how spread out a data set is. It is calculated as the average squared deviation of each number from the mean of a data set.
X f P(X) X*P(X) X^2*P(X) 0 95 0.186 0.000 0.000 1 113 0.221 0.221 0.221 2 87 0.170 0.341 0.681 3 64 0.125 0.376 1.127 4 138 0.270 1.080 4.321 5 14 0.027 0.137 0.685 511 1.000 2.155 7.035Related Questions
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