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17. Assume that X is normally distributed with a mean m = $64. If P(X ³...

17. Assume that X is normally distributed with a mean m = $64. If P(X ³ $75) = 0.2981, then the standard deviation of X is approximately equal to

18. The standard deviation of a normal random variable X is $20. It is given that P(X £ $10) = 0.1841. From this we can determine that the mean of the distribution is equal to

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Answer #1

Q.17) Given that, mean = $64

We want to find, standard deviation such that,

The standard deviation of X is approximately equal to

$20.75

Q.18) Given that, standard deviation,

We want to find, mean such that,

Therefore, mean = 28

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