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Chapter 20 Questions with 100% correct answers | verified | latest update 2024 £6.46   Add to cart

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Chapter 20 Questions with 100% correct answers | verified | latest update 2024

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Chapter 20 Questions with 100% correct answers | verified | latest update 2024

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  • June 17, 2024
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  • 2023/2024
  • Exam (elaborations)
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Chapter 20
The distribution of children per household in Diane's subdivision is shown. To compute
the expected number of children per household in this subdivision, one would find:
Expected Value = 0(0.05) + 1(0.25) + 2(0.45) + 3(0.2) + ______(0.05) - ANS-4

Using a deck of cards to simulate the birth of boys and girls, one could, for example,
have black cards representing a boy and red cards representing a _______. - ANS-girl

Suppose you decide to open a casino offering only one game. You win a dollar 55% of
the time, and your customer wins a dollar 45% of the time. The profit you would expect
to have if 1000 games are played is _________. - ANS-$100
The expected value is 0.55(1) - 0.45(1) = 0.1. So for 1000 games it is 1000(0.1) = $100.

If you don't know the outcome ___________, you can estimate the expected value by
simulation. - ANS-probabilities

Pedro is playing a card game where he randomly selects a card from a full deck. If the
card is red, he wins $5. If it is not, he pays $5. The expected value of this game is
________. - ANS-$0

You play a gambling game with a friend in which you win 10% of the time and lose 90%
of the time. When you lose, you lose $1. What profit should you earn when you win, in
order for the game to be fair? - ANS-$9
The expected value for a fair game is $0. To solve: 0=0.1($x) - 0.9($1). 0.1($x) = $0.90.
(0.1)($9) = $0.90, so x = $9.

The distribution of children per household in Diane's subdivision is shown. To compute
the expected number of children per household in this subdivision, one would find:
Expected Value = 0(0.05) + 1(0.25) + 2(0.45) + 3(0.2) + 4(________) - ANS-0.05

One can use simulation of random digits to find the average number of children a
couple needs to have until they have a girl or until they have 3 children. Suppose a pair
of digits simulates one child, with 00 to 48 standing for a girl and 49 to 99 standing for a
boy. Suppose the simulation is done 7 times with the following results: Using the table,
the expected number of children a couple will have is________. - ANS-2

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