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svp [43]
3 years ago
9

Suppose X has a continuous uniform distribution over the interval [−2,2]

Mathematics
1 answer:
Sliva [168]3 years ago
8 0

Answer:

Mean = 0

Variance = 4/3

Standard Deviation √4/3

a= 0.9

Step-by-step explanation:

If X has a uniform distribution over [a,b] then its Mean is a+b/2 and variance is (b-a)²/12

Here a=  -2 and b= 2

Now finding the mean = a+b/2=-2+2/2= 0

Variance = (b-a)²/12=( 2-(-2))²/12= 4²/12= 16/12= 4/3

Standard Deviation = √Variance= √4/3

b) \int\limits^a_b f({x}) \, dx=  \int\limits^a_a {\frac{1}{a- (-a)} } \, dx

                =1/2a[x]^a_-a= 2a/2a= 1  (applying the limits to the function)

P(−a<X<a) =\int\limits^a_b {x} \, dx=1/2 * 2a= a    (applying the limits to the function)

P(−a<X<a)= 0.9

a= 0.9

In the given question the limits are -a to a . When we apply these in the above instead of [a,b] we get the above answer.

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Answer:

The correct answer is C, as growth on stock E is bigger from the growth of stock B

Step-by-step explanation:

In order to resolve this problem, we must have in mind that the negative numbers are smaller when they are more distant from 0, and that positive numbers are bigger when they are more distant from 0. So, the biggest number of growth is the one that is more distant from 0.

The correct answer is C, as growth on stock E is bigger from the growth of stock B.

8 0
3 years ago
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Answer:

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