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expeople1 [14]
3 years ago
7

The following represents the probability distribution for the daily demand of microcomputers at a local store. Demand Probabilit

y 0 .1 1 .2 2 .3 3 .2 4 .2 The expected daily demand is _____.
Mathematics
1 answer:
konstantin123 [22]3 years ago
8 0

Answer:

The correct answer is 2.2.

Step-by-step explanation:

The following represents the probability distribution for the daily demand of microcomputers at a local store:

Demand Probability

f(0)= .1

f(1)= .2

f(2)= .3

f(3)= .2

f(4)= .2.

Expectation of a discrete probability function f of the random variable x is given by ∑ x × f(x).

Thus the expected value of  demand is given by

0.1 × 0 + 0.2 × 1 + 0.3 × 2 + 0.2 × 3 + 0.2 × 4 = 2.2.

The expected daily demand is 2.2.

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Blababa [14]
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Janice receives $.40 per pound for 1 to 99 pounds of aluminum cans he recycles. he receives $.50 per pound if you are cycles mor
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Answer:

M=\left\{\begin{matrix}0.4x &x\leq99 \\ 0.5x &x>100 \\ \end{matrix}\right.

Step-by-step explanation:

<u>Function modeling</u>

Real-life situations often require the help of mathematics to model numerically what happens when the variables involved can change. It could even be used to predict some expected outcomes from those models.

The problem states Janice receives $.40 per pound when he recycles less or equal than 99 pounds of aluminum. If x is the number of recycled pounds, then the amount of money he receives is

M=0.4x

We also know that if he recycles more than 100 pounds of aluminum, the pay increases to $0.5 per pound. In that case, the amount of money is

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This is a case where the function is defined differently depending on the conditions of the input variable x. It's called a piecewise function. The function can be written as

M=\left\{\begin{matrix}0.4x &x\leq99 \\ 0.5x &x>100 \\ \end{matrix}\right.

Note the function is not well constructed because there is a gap for x=100 where M is not defined. If we establish that for 100 pounds the payment is $0.5, then the second piece would include x=100

5 0
3 years ago
Dave rented a limousine for his wife's birthday. The hourly rate is $70. They used the limousine for 4 hours, plus Dave gave the
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2. Next calculate how much he gave as a tip: $280 x 0.2 = 56

3. Add the two together $280 + $56 = $336

Muchas luck on your HW!
3 0
3 years ago
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