- What is the probability that, if you play, you win at least $5? 0.176 If you pay $0.60 to play, what is your expected net gain? (Note: a negative gain indicates a loss) [ Select ] - If the people running the coconut shy wanted to make $1.5 profit on each throw, how much should they charge for one throw? [Select ] You and 3 of your friends decide to all have a go. Each time you play, the coconuts are replaced so that you are all aiming at 17 coconuts. - What is the probability that you each hit a coconut that is not worth a prize? [ Select] Two of your friends get bored and decide to go and try their luck on a different stand. - Out of the 2 of you who are still playing on the coconut shy, what is the probability that at least one of you hits one of the coconuts with a $5 prize? [Select]

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
Section: Chapter Questions
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You and your friends decided to go to the Anteater Involvement
Fair, where they some games. One of the games is a coconut shy,
where the aim of the game is to throw a wooden ball at coconuts
stood on poles, and you don't know which coconuts are worth
prizes. We assume that you and your friends hit a coconut each
time with probability 1.
There are 17 coconuts:
7 of the coconuts have no prize
• 4 have a prize of $1
• 3 have a prize of $2
• 2 have a prize of $5
• 1 has a $10 prize.
Initially you have one throw at the coconuts:
Transcribed Image Text:You and your friends decided to go to the Anteater Involvement Fair, where they some games. One of the games is a coconut shy, where the aim of the game is to throw a wooden ball at coconuts stood on poles, and you don't know which coconuts are worth prizes. We assume that you and your friends hit a coconut each time with probability 1. There are 17 coconuts: 7 of the coconuts have no prize • 4 have a prize of $1 • 3 have a prize of $2 • 2 have a prize of $5 • 1 has a $10 prize. Initially you have one throw at the coconuts:
- What is the probability that, if you play, you win at least $5?
0.176
ts
If you pay $0.60 to play, what is your expected net gain?
(Note: a negative gain indicates a loss)
[ Select ]
- If the people running the coconut shy wanted to make $1.5
profit on each throw, how much should they charge for one
throw? [Select ]
You and 3 of your friends decide to all have a go. Each time
you play, the coconuts are replaced so that you are all aiming at
17 coconuts.
- What is the probability that you each hit a coconut that is
not worth a prize? [ Select]
Two of your friends get bored and decide to go and try their
luck on a different stand.
- Out of the 2 of you who are still playing on the coconut shy,
what is the probability that at least one of you hits one of the
coconuts with a $5 prize? [Select ]
Transcribed Image Text:- What is the probability that, if you play, you win at least $5? 0.176 ts If you pay $0.60 to play, what is your expected net gain? (Note: a negative gain indicates a loss) [ Select ] - If the people running the coconut shy wanted to make $1.5 profit on each throw, how much should they charge for one throw? [Select ] You and 3 of your friends decide to all have a go. Each time you play, the coconuts are replaced so that you are all aiming at 17 coconuts. - What is the probability that you each hit a coconut that is not worth a prize? [ Select] Two of your friends get bored and decide to go and try their luck on a different stand. - Out of the 2 of you who are still playing on the coconut shy, what is the probability that at least one of you hits one of the coconuts with a $5 prize? [Select ]
Expert Solution
Step 1

Introduction:

Denote the random variable X as the amount of winning in a randomly selected throw, not taking into consideration any amount the player has to pay to attempt a throw.

Suppose P (x) is the probability that X = x, that is, P (x) = P (X = x).

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