Using the probability table, it is found that:
- a) There is a 0.25 = 25% probability that this couple spends 45 dollars or more.
- b) The expected amount the couple actually has to pay is $36.85.
Item a:
To find the probabilities involving the total cost, we have to <u>add the variables X and Y</u> from the table, then:
The probability involving <u>values of 45 or more</u> is:
0.25 = 25% probability that this couple spends 45 dollars or more.
Item b:
For a <em>discrete distribution</em>, the expected value is the <u>sum of each outcome multiplied by it's respective probability</u>, hence, involving the 10% discount for prices above $45:
![E(X) = 0.2(30) + 0.3(35) + 0.25(40) + 0.9[0.2(45) + 0.05(50)] = 36.85](https://tex.z-dn.net/?f=E%28X%29%20%3D%200.2%2830%29%20%2B%200.3%2835%29%20%2B%200.25%2840%29%20%2B%200.9%5B0.2%2845%29%20%2B%200.05%2850%29%5D%20%3D%2036.85)
The expected amount the couple actually has to pay is $36.85
A similar problem is given at brainly.com/question/25782059
Bobbie: x comic books
Kenny: 9 more comic books than Bobbie: x + 9
Together: 95 comic books
To write the equation that could be used to find the number of comic books they each have, we have to put it together:
x + (x + 9) = 95
x + x + 9 = 95
2 * x = 95 - 9
2 * x = 86 /2
x = 86 / 2
x = 43
Result: Bobbie has 43 comic books, Kenny has 52 comic books (43 + 9).
5
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Trace of a matrix is defined only for a square matrix . It is the sum of the elements on the main diagonal, from the upper left to the lower right, of the matrix
Answer:
The y-intercept is (0, 5).
Step-by-step explanation:
We find the equation of the line in slope-intercept form:
y - y1 = m(x - x1)
y - 13 = 2(x - 4)
y = 2x - 8 + 13
y = 2x + 5 - This is slope-intercept form where the graph passes through the y-axis at y = 5.
