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Lynna [10]
2 years ago
11

Find the expected value of the winnings from a game that has the following payout probability distribution: Skip Payout ($) 1 2

5 8 10 Probability 0.35 0.2 0.1 0.2 0.15 Expected Value = [?] Round to the nearest hundredth.​
Mathematics
1 answer:
Nezavi [6.7K]2 years ago
4 0

Answer:

$4.35

Step-by-step explanation:

The expected value of a random variable <em>X</em>, often denoted as E(<em>X</em>), indicates the probability-weighted average of all possible values/events. The general formula of expected value is

\mathrm{E(\textit X \mathrm)} = \displaystyle\sum_{\mathclap{i=1}}^{k} \ X \times P(X) \\ \\ \\ = X_{1} \times P(X_{1}) \ + \ X_{2} \times P(X_{2}) \ + \ X_{3} \times P(X_{3}) + \ \cdots \ + X_{k} \times P(X_{k}).

Therefore, the expected value of the winnings from a game is

\mathrm{E(\textit X \mathrm)} \ = \ 1 \times 0.35 \ + \ 2 \times 0.2 \ + \ 5 \times 0.1 + \ 8 \times 0.2 \ + 10 \times 0.15 \\ \\ = \ 4.35 \ \ (\mathrm{nearest \ hundredth}).

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Answer:

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Step-by-step explanation:

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3 years ago
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Answer:

The probability that event B will occur is 0.45

Step-by-step explanation:

Given;

probability that event A occurs, P(A) = 0.4

the probability that events A and B both occur, P(A ∩ B) = 0.25

the probability that either event A or event B occurs, P(A ∪ B) = 0.6

To determine the probability that event B will occur, we use probability addition rule;

P(A) + P(B) = P(A ∩ B) + P(A ∪ B)

0.4 + P(B) = 0.25 + 0.6

0.4 + P(B) = 0.85

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P(B) = 0.45

Therefore, the probability that event B will occur is 0.45

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3 years ago
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The measure of an angle exceeds 3 times its supplement by 4. Find the measure of the angles.
Dafna11 [192]
X=3y+4, y=y
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(I am not a very good artist in this case:)

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Find the value of the variable plz help
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Answer:

Step-by-step explanation:

Vertically opposite angles are equal.

8y + 36 = 14y -24                Subtract 36 to both sides

8y = 14y - 24 - 36               Combine

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8y - 14y = - 60

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===========================

x +48 = 64                        Subtract 48 from both sides

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7 0
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