# 5.3 ^0 Hypergeo PA 2021-2022 Sem 1 ```MDM4U PA 5.3 (Bin and Geo) and
Hypergeometric
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Name:
All final answers accurate to 4 decimal places. All questions must be answered using the methods of Chapter 5
using proper Ch 5 notation.
1.
In the GTA the probability that a household will have more than one vehicle is 0.75. On a street of 8 houses,
a) find the probability at least two houses will have more than one vehicle.
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Let X be ______________________________________________
b) What is the expected number of households on the street that will have more than one vehicle?
c) find the probability that fewer than 3 houses must be surveyed in the neighborhood before one with more
than one vehicle is found. Let X be ______________________________________
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d) What is the expected number of households surveyed in the neighborhood before one is found with more
than one vehicle?
2.
A game bag contains coloured tiles. Ten are Green, 6 are Yellow and 3 are red. Seven tiles are picked at
random.
a) Determine the probability that exactly 4 are Green, 2 are Yellow and 1 is red.
Define the random variable(s)
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b)
Determine the expected number of Green tiles picked
Let X represent: ______________________
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