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ladessa [460]
3 years ago
7

Suppose two random variables, X and Y are independent, which statement is false? a) P(X∣Y)=P(X) b) P(X∪Y)=P(X)+P(Y) c) P(X∩Y)=P(

X)⋅P(Y) d) Cov(X,Y)=0
Mathematics
1 answer:
Svetlanka [38]3 years ago
5 0

B is false, since by the inclusion/exclusion principle,

P(X\cup Y)=P(X)+P(Y)-P(X\cap Y)

By independence, we have P(X\cap Y)=P(X)P(Y), which is zero if either of P(X) or P(Y) is 0, which isn't guaranteed.

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A restaurant freezes a cherry and lime juice mixture to create slushes. Cherry juice costs $5 per quart, and lime juice costs $3
puteri [66]

Answer:

5c + 3(8 - c) = 36

Step-by-step explanation:

A restaurant freezes a cherry and lime juice mixture to create slashes. Cherry juice costs $5 per quart, and lime juice costs $3 per quart. Each day, the restaurant spends a total of $36 on 8 quarts of juice.  

Therefore, if there are c quart of cherry juice, then the number of lime juice is (8 - c) quart as the total number of quarts is 8.

Now, the total cost is $36 and therefore, we can write the equation to find the number of quarts of cherry juice is  

5c + 3(8 - c) = 36 (Answer)

3 0
3 years ago
Read 2 more answers
Find a negative real number such that the square of the sum of the number and 5 is equal to 48
ioda
(n+5)^2=48
sqrt both sides
n+4=+/-4√3
minus 4 both sides
n=-4+/-4√3

-4+4√3>0 so this cannot be the value of n
n=-4-4√3

the number is -4-4√3
6 0
3 years ago
Which number is bigger 2.04, 2, 2.4,2.07, 2.24
kotegsom [21]
2 , 2.04 , 2.07 , 2.24 , 2.4--big
5 0
3 years ago
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Which of the following choices is the variance of the sample shown here? 35, 36, 41, 56, 60, 71 A. 188.2 B. 215.8 C. 14.7 D. 13.
Travka [436]

i think it is B lol lol but tell me


3 0
4 years ago
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Find the value of x and the value of y.
fomenos

Answer:

C.

Step-by-step explanation:

x is bisecting the baseline (cutting it in 2 halves of 6).

the third angle in the main overall triangle is 60 degrees.

remember, all angles in a triangle always add up to 180 degrees.

so, 180 - 60 - 60 = 60.

that means that all 3 angles are of equal size (60). and that means that all 3 sides must have the same length.

=> y = 12

and now using Pythagoras to calculate the height (x) of the triangle :

y² = x² + 6² (remember, this side is only half the baseline)

12² = x² + 6²

144 = x² + 36

x² = 108

x = sqrt(108) = sqrt(36×3) = 6×sqrt(3)

7 0
3 years ago
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