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vredina [299]
3 years ago
9

In the New York State Numbers Lottery, you pay $1 and can bet that the sum of the numbers that come up is 13. The probability of

winning is 0.075, and if you win, you win $6.50, which is a profit of $5.50. If you lose, you lose $1. What is the expected value of your profit? Is it an expected gain or an expected loss?
Mathematics
1 answer:
Harman [31]3 years ago
7 0

Answer:

The expected value of profit is -0.5125. This is expected loss as value is negative.        

Step-by-step explanation:

We are given the following in the question:

P(winning) = 0.075

Thus,

P(Loosing) =

1 - 0.075 = 0.925

If we win we gain a profit of $5.50 and if we loose the lottery, we loose $1.

Thus, we can form the probability distribution in the following manner:

  Event:      Winning       Loosing

Profit(x):      +5.50               -1

     P(x):       0.075             0.925

We have to calculate the expected value of the profit.

E(X) = \displaystyle\sum x_i(P(x_i))\\E(x) = +5.50(0.075) + (-1)(0.925)\\E(x) = -0.5125

Thus, the expected value of profit is -0.5125. This is expected loss as value is negative.

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Alla [95]

Answer:

21/676

Step-by-step explanation:

The total number of letters of the alphabet will be the total outcome which is 26 alphabets.

If consonant numbers are drawn out, the probability of drawing a consonant will be total consonants/total alphabets

Total consonants in the alphabet is 21.

Probability of drawing consonants = 21/26.

Since all the consonants are replaced before drawing a Z, our total outcome will not change i.e it will still be 26.

Probability of drawing a letter Z will be 1/26.

Therefore, the probability of drawing a consonant,replacing it, and then drawing a Z will be;

21/26×1/26

= 21/676

5 0
3 years ago
What is 9+m=1.5<br><br><br>i need the answer for m
Oksi-84 [34.3K]

Answer:

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Step-by-step explanation:

Given

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5 0
2 years ago
Can anyone help I’ll give you brainliest
Oduvanchick [21]

Answer:

Interest for 1 year is $80.50

Step-by-step explanation:

Simple interest is given by the formula

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Step-by-step explanation:

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slope-intercept form for the line that passes through (10, 5), and is perpendicular to the graph of 5x + 4y = 8
velikii [3]

Let us convert this equation from standard to slope intercept form first.

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3 years ago
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