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sammy [17]
3 years ago
10

Suppose a basketball player has made 223223 out of 406406 free throws. If the player makes the next 22 free throws, I will pay y

ou $20$ 20. Otherwise you pay me $8$ 8. Step 1 of 2 : Find the expected value of the proposition. Round your answer to two decimal places. Losses must be expressed as negative values.
Mathematics
1 answer:
makkiz [27]3 years ago
5 0

Answer:

Expected value E = $0.45

Step-by-step explanation:

Expected value E = P×w - P'×l

Where;

P = probability of making the next 2 throw.

P = 223/406 × 223/406 = 0.3017

P' = probability of not making a throw.

P' = 1 - P = 1 - 0.3017

P' = 0.6983

w = expected win = $20

l = Expected loss = $8

Substituting the values;

E = 0.3017 × $20 - 0.6983 × $8

E = $0.4476

Expected value E = $0.45

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3 years ago
Five-sixths of the boats in the marina are white, 2 5 of the remaining boats are blue, and the rest are red. If there are 12 red
Inga [223]

Answer: There are 120 boats in the marina.

Step-by-step explanation:

Let's suppose that there are N boats

We know that 5/6 of them are white, then we have: (5/6)*N white boats.

The remaining is: N - (5/6)*N = (1/6)*N

We know that 2/5 of the remaining are blue, then we have:

(2/5)*(1/6)*N blue boats

And the rest are red, the rest is:

(1/6)*N - (2/5)*(1/6)*N = (3/5)*(1/6)*N

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And we know that there are 12 red boats, then:

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Now we can solve this for N, which is the total number of boats in the marina.

N = 12*(6)*(5/3) = 120

There are 120 boats in the marina.

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2 years ago
100% of will give me 93
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Step-by-step explanation:

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2 years ago
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..........................

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