Question

The weight of packages carried by a certain post office in a Normal random variable with a measurement of 10 pounds and a standard deviation of 2 pounds. The post office wants to apply an additional charge ($) to packages that contain more than a certain weight, but they want to establish the policy so that the surcharge only applies to 1% of customers.

a) What is the weight at which the additional charge should begin to be applied?

b) If they decide to apply the additional charge to packages weighing more than 12 pounds, what proportion of customers will be affected?

c) If you decide to apply the charge to packages of 12 pounds or more, and during a day selecting at random 32 clients arrive with packages, what is the probability that at least 10 of them have to pay the charge?

d) If the $ 5.00 additional fee is received on a random day, 378 packages are received on average, what is the expected value of the amount of money that will be collected for the additional charge each day?

*********************** Just need the answer of the letter d). **********************************
Answers a), b) and c) are the follows in case you need it:

a) 14.65

b) 0.1587

c) $20

Answer 1

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