Suppose that we have found that in Jill’s remote log-ins to a certain computer, the number...

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Suppose that we have found that in Jill’s remote log-ins to a certain computer, the number...

Suppose that we have found that in Jill’s remote log-ins to a certain computer, the number X of disk sectors she reads or writes has an approximate normal distribution with a mean of 500 and standard deviation of 15.

Say we’ve set our network intrusion monitor to notify us every time Jill logs in and accesses 535 or more disk sectors.

In what proportion of all such notifications will Jill have accessed at least 545 sectors?

math Statistics-And-Probability

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Answer #1

Solution:

Given, the Normal distribution with,

$\mu$ = 500

$\sigma$ = 15

Find P(at least 545 sectors)

P(X $\geq$ 545) = P[(X - $\mu$ )/ $\sigma$ > (545 - $\mu$ )/ $\sigma$ ]

= P[Z > (545 - 500)/15]

= P[Z > 3.00]

= 1 - P(Z < 3.00)

= 1 - 0.9987 ...use z table

= 0.0013

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Similar Homework Help Questions

Suppose that we have found that in Jill’s remote log-ins to a certain computer, the number...

Suppose that we have found that in Jill’s remote log-ins to a certain computer, the number X of disk sectors she reads or writes has an approximate normal distribution with a mean of 500 and standard deviation of 15. Say we’ve set our network intrusion monitor to notify us every time Jill logs in and accesses 535 or more disk sectors. In what proportion of all such notifications will Jill have accessed at least 545 sectors?

Question 2