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EXERCISES IN STATISTICS
Exercise M01
1.
The probability density function governing the minutes of time
t
spent
waiting outside a telephone box is given by
f
(
t
) =
ae
−
at
.
(a) Determine the probability of having to wait for more than
t
minutes.
(b) Show that the probability of having to wait
more than
2
t
minutes,
given that you have waited for
t
, is the same as the unconditional
probability of having to wait more than
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Unformatted text preview: t minutes. What are the implications of this result? 2. Prove that the function f ( x ) = 1 4 ( 3 4 ) x ; x = 0 , 1 , 2 , . . . , constitutes a probability mass function. What is the probability that x will assume any integer value from 0 to 3. Find the value of n such that P ( x < n ) = 0 . 9 approximately. 1...
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This note was uploaded on 03/02/2012 for the course EC 2019 taught by Professor D.s.g.pollock during the Spring '12 term at Queen Mary, University of London.
 Spring '12
 D.S.G.Pollock

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