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In certain experiments, the error made in determining the density of a substance is a random...

In certain experiments, the error made in determining the density of a substance is a random variable X, which is equally likely to take any value between two stated bounds -0.025 and 0.025.

(i) What distribution may be used to model X? Write down the probability density function of X. What is the probability that such an error will be between 0.010 and 0.015?

(ii) What is the probability that such an error will be between -0.012 and 0.012?

(iii) Determine the mean and variance of X.

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Answer #1

ihUS , Χ~N (-0.ops,0.04S 0.010 0 899 . 0,000マ

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