Please help I’m stuck on this question!!
1 answer:
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Answer:
a) f(x,y) = ; x = 0, 1 , 2; y = 0, 1 , 2; 0 ≤ x+y ≥ 2
b) =
Step-by-step explanation:
joint probability is a function that characterizes the distribution of a random variable. If X and Y be two random variables then the joint probability will be P(X = x, Y=y)
Given Data,
X = The number of blue Pens
Y = The number of red Pens
a)
possible outcomes(X, Y) are (0, 0), (0, 1), (1, 0), (1, 1), (0, 2), (2,0)
Please refer fig. also
total number ways of selecting any 2 pens = =
=28
f(x,y) = ; x = 0, 1 , 2; y = 0, 1 , 2; 0 ≤ x+y ≥ 2
b)
P(X,Y)∈A = P(X + Y ≤ 1)
= P(0,0) + P(1,0) + P(0,1)
= +
+
=
Answer:
3 times more.
Step-by-step explanation:
The odds of landing a dart in any of the circles correspond to the surface area of the circle.
Calculate the surface area of both circles:
The formula for the area of a circle is .
- inner circle:
- for the outer circle, use the formula then subtract the value of the inner circle, to find the remaining area:
Calculating greater chance:
Divide the larger area by the smaller area:
That means that the area of the outer circle is 3 times larger, making it 3 times more likely to hit the outer circle. Therefore the points for hitting the inner circle should be 3 times more.