Where’s the bus? Sally takes the same bus to work every morning. The amount of time (in minutes) that she has to wait for the bus to arrive is described by the uniform distribution below. (a) Explain...

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Where’s the bus? Sally takes the same bus to work every morning. The amount of time (in minutes) that she has to wait for the bus to arrive is described by the uniform distribution below.

(a) Explain why this curve satisfies the two requirements for a density curve.

(b) On what percent of days does Sally have to wait more than 8 minutes for the bus?

Answered Same DayDec 25, 2021

Answer To: Where’s the bus? Sally takes the same bus to work every morning. The amount of time (in minutes)...

Robert answered on Dec 25 2021

125 Votes

a) Area under a valid pdf must be 1. We look at the area of given rectangle, which
is 10*1/10 = 1, which is the first requirement of a valid probability distribution
The second criterion is that the curve must never be negative, which it does not.
Hence this is a valid probability distribution....

SOLUTION.PDF

Sun	Mon	Tue	Wed	Thu	Fri	Sat
30	31	1	2	3	4	5
6	7	8	9	10	11	12
13	14	15	16	17	18	19
20	21	22	23	24	25	26
27	28	29	30	1	2	3

Where’s the bus? Sally takes the same bus to work every morning. The amount of time (in minutes) that she has to wait for the bus to arrive is described by the uniform distribution below. (a) Explain...

Answer To: Where’s the bus? Sally takes the same bus to work every morning. The amount of time (in minutes)...

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