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ycow [4]
4 years ago
10

HELP ASAP PLS! A random number generator is used to create a real number between 0 and 1, equally likely to fall anywhere in thi

s interval of values. (For the instance, 0.3794259832... is a possible outcome). a. Sketch a curve of the probability distribution of this random variable, which is the continuous version of the uniform distribution. b. What is the mean of this probability distribution?

Mathematics
1 answer:
Alchen [17]4 years ago
5 0

Answer:

a. Attached.

b. Mean = 0.5

Step-by-step explanation:

This random number generator con be modeled with an uniform continous random variable X that has values within 0 and 1, each with the same constant probability within this range.

The probability for the values within the interval [a,b] in a continous uniform distribution can be calculated as:

f(x)=\dfrac{1}{b-a}\;\;\;x\in[0; 1]

In this case, b=1 and a=0, so f(x)=1.

The sketched curve of the probability distribution of this random variable is attached.

The mean of this distribution can be calculated as the mean for any uniform distribution:

E(X)=\dfrac{a+b}{2}=\dfrac{0+1}{2}=0.5

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so the multiplication will be:

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3 years ago
The local deli charges a fee for delivery. On monday, they delivered two dozen bagels to an office at a local cost of $8. On Tue
aev [14]

Answer:

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Step-by-step explanation:

The problem statement defines the variables and gives the relations ...

  2b + f = 8 . . . . total cost on Monday

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Subtracting the first equation from the second, we get ...

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3 years ago
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Answer:

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