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In: Math

Nowadays, movies can be rented from a vending machine located at the entrance to many stores. Suppose...

Nowadays, movies can be rented from a vending machine located at the entrance to many stores. Suppose that it is now Friday evening at 8pm and a certain machine within a certain store has six copiesof the movie “Twilight” available for rent. The machine will not be visited by the owner until Sunday afternoon at noon (which is 40hrs later), at which time returned movies will be restocked.

Suppose that customers wanting to rent “Twilight” arrive at this rental machine at a rate of 1 every 5 hours.

LetW= the time (in hours) until the next “Twilight” renter arrives at the machine.

Name the distribution of Wand identify the parameter.

Distribution name: ___________________

Parameter value: ___________________

What is the chance the next “Twilight” renter arrives sometime on Saturday?

Thus, we seek the P( ___ < W< ___ ) which equals ________________?

LetX= the number of renters wanting “Twilight” that come to the

vending machine over the weekend (Fri 8pm until Sunday noon).

Name the distribution of Xand identify the parameter.

Distribution name: ___________________

Parameter value: ___________________

What is the probability that exactly 4 copies of “Twilight” are rented over

the weekend? Thus, we seek the P(X= 4) which equals ________________?

What is the probability that all copies of “Twilight” are rented over the

weekend? Thus, we seek P( X __ __ ) which equals ________________?

Expert Solution

milcah answered 1 month ago

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