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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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estimate a 15% tip on a dinner bill of $49.75 by rounding first bill amount to the nearest ten dollars
AlladinOne [14]

Answer:

60.00

Step-by-step explanation:

49.75 + 15%(7.46) = 57.21

7 0
3 years ago
By visual inspections, determine the best fitting regression model for the scatterplot
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For this case, we observe that the dispersion diagram has a behavior similar to a straight line.
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3 years ago
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Find the product of two numbers before multiplying by the next number. 25 × 3 × 2​
Varvara68 [4.7K]

Answer and explanation:

25 x 3 = 75

75 x 2 = 150

I found the product of the first two numbers, then multiplied the third.

The answer is 150. Hope this helps!

5 0
3 years ago
Select the correct answer. Which point is a solution of x + 2y ≤ 4? A. (2, 4) B. (1, 1) C. (3, 5) D. (-1, 5)
stira [4]

Answer:

B

Step-by-step explanation:

Of you put the values of c and y from B in the equation, then the result is,

1 + 2 \times 1 \leqslant 4 \\ 1 + 2 \leqslant 4 \\ 3 \leqslant 4

here, 3 is less than 4, which is true.

But the result will come out as greater than 4 if you put other points in the equation, which is not true for the given condition.

6 0
3 years ago
Determine the first five iterates of f(x)=1.5x(1-x) for x0=0.8
kherson [118]
<span>f(x) = 1.5 x (1 - x)
f(0.8) = 1.5(0.8)(1 - 0.8) = 0.24
f(0.24) = 1.5(0.24)(1 - 0.24) ~= 0.274
f(0.274) = 1.5(0.274)(1 - 0.274) ~= 0.298
f(0.298) = 1.5(0.298)(1 - 0.298) ~= 0.314
f(0.314) = 1.5(0.314)(1 - 0.314) ~= 0.323

</span>So the answer is D : 0.24, 0.274, 0.298, 0.314, 0.323
3 0
3 years ago
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