(a) Use property 1 from here: Normal distribution - Wikipedia, the free encyclopedia

Knowing the distribution of T, you should now ba able to do (b) and (c).

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- Mar 1st 2010, 01:28 PM #1

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## stopwatch_normal_help

a manually operated stopwatch is used to clock times in a 100 m track race. if the true time of a runner is t, the watch will show time t+0.1+X, where X has a normal distribution with expected value 0 and variance 0.01.

(a) for a given t, what is the distribution of T?

(b) if the true time t is 15 seconds, what is P(T<=11.5)?

(c) what is the probability that T is within 0.05 seconds of the true time t?

- Mar 23rd 2010, 08:18 PM #2
(a) Use property 1 from here: Normal distribution - Wikipedia, the free encyclopedia

Knowing the distribution of T, you should now ba able to do (b) and (c).

- Mar 24th 2010, 12:38 AM #3

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