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ory Bookmarks Window Help virtualcampus.pupr.edu G12270-81-SJU Question Completion Status: QUESTION 1 All the production of a machine that the length of the part is measure for quality reasons and has a variable outcome is a continuous random distribution True False QUESTION 2 In a sample space of a continuous random experiment the mean and the variance must have decimal points. True O False QUESTION 3 In a Normal random variable distribution with a mean of 10 and a standard deviation of the event of 0.15 the probability of finding a result less than 10 is 50%. True False Click Save and Submit to save and submit. Click Save All Answers to save all ansvers Save All Answers 12 2

Explanation / Answer

1) event of measurement of length ,where length is continuous.

So answer: TRUE

2) there may exist whole numbers or integer valued mean and standard deviations for continuous random variable.

Ans: FALSE

3) we know that normal distribution is symmetric around mean. So probability that result is less than mean is 0.5

That is 50%

Ans: TRUE

4) we know that for exponential distribution cdf is given by

F(x) = 1 - exp{ - lamda *x}

F(2) = 1- exp{-2*2} = 0.98168= 0.9817

Ans: TRUE

5) for continuous random variable probability associated at any point is zero.

So for normal distribution P(X=18) = 0

Ans: TRUE.

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