Question

UPS is supposed to deliver a package to you at any moment between 10:15 am and...

UPS is supposed to deliver a package to you at any moment between 10:15 am and 11:10 am. The random variable x is said to follow a uniform probability distribution.

  • What is the probability that the package will be delivered exactly at 11:00 am?

QUESTION 2

  1. UPS is supposed to deliver a package to you at any moment between 10:15 am and 11:10 am. The random variable x is said to follow a uniform probability distribution.
    • What is the probability that the package will be delivered between 10:47 am and 11:47 am?
Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Q1 Let X be the deliver a package at any moment between 10:15 am and 11:10 am.

The time duration from 10:15 am to 11:10 am ranges from 0 minute to 55 minutes.

Therefore,

The pdf of X is given by:

Since X is the continuous random variable the probability that the random variable taking any particular value is zero.

Hence the probability that the package will be delivered exactly at 11:00 am is Zero.

Q2 The probability that the package will be delivered between 10:47 am and 11:47 is given by:

Since 10:47 am is 37 minutes after 10:15 am and the upper value is 55 minutes.

The probability that the package will be delivered between 10:47 am and 11:47 is 0.40

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