1. The table to the left shows the joint probability function for X and Y . a. Explain why this is a legitimate joint probability function for X and Y . X b. Find p(1,2) . c. Find P(X<1,Y≥2) . d Find p x (3)
Answers
The joint probability function for X and Y is legitimate because the sum of all probabilities is equal to 1 and the probabilities are non-negative. Each point in the domain has a corresponding probability.b. p(1,2) means the probability of X=1 and Y=2. p_x(3) = 0.1 + 0.05 = 0.15.
a. Probability function is considered legitimate when the sum of all the probabilities is 1, the probabilities are non-negative and each point in the domain must have a corresponding probability. Here, the joint probability function for X and Y is legitimate because the sum of all probabilities is equal to 1 and the probabilities are non-negative. Each point in the domain has a corresponding probability.b. p(1,2) means the probability of X=1 and Y=2. We can see from the table that p(1,2) = 0.04.c. P(X<1, Y≥2) means the probability of X being less than 1 and Y being greater than or equal to 2. We can find the probabilities by adding up all the probabilities in the cells that meet this condition. From the table, we can see that the cells (0,2) and (0,3) meet this condition. Therefore, P(X<1, Y≥2) = 0.01 + 0.01 = 0.02.d. We need to find p_x(3), which means the probability of X=3. We can find this by adding up all the probabilities where X=3. From the table, we can see that the cells (3,1) and (3,2) meet this condition. Therefore, p_x(3) = 0.1 + 0.05 = 0.15.
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Help me bruhTwo waves with amplitudes of 75 units and 74 units arrive at a point in a medium simultaneously. If the two waves are out of phase with each other, what is the resultant amplitude of the wave? a. 74 units b. 1 unit c. 75 units d. m149 units
Joshua does not want to spend more than $22 on a long-sleeve shirt. Which description of shirt prices would keep joshua within his spending limit, not including tax? Select all that apply a- 15% off %25 b- 30% off 32% c-19.65 plus 2.35 shipping fee d- 20.45 plus a $1.60 shipping fee
Qué son los ángulos?
Marty's cat weighs 10.4 pounds. this is 24.4 pounds less than the weight of marty's dog. how much does marty's dog weigh?
–23
–15
–14
–7
Answers
The value of y will be -7
What is distributive property of multiplication over addition ?
If we multiply a number by the sum of more than two, we use the distributive property of multiplication over addition.
The equation given is 4y-2(1-y)= -44, now solving it for the value of y using distributive property of multiplication over addition :
Therefore, the value of y is -7
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Answer:
-7
Step-by-step explanation:
B. 3/6 of a mile
C. 3/2 miles
D. 6/8 of a mile
Answers
Answer:
I belive the answer is 3/2 or C because 3/4 multiplied by 2 is 3/2
Step-by-step explanation:
ILYA
60-12(12)
CHLOE
BEN
SHAWN
KATE
12-60(h)
60=12(h)
h=
12
60
h
M
60
19
12
Answers
Answer: To find the height of a rectangle with a base of 12 cm and an area of 60 cm², we can use the formula:
Area=Base×Height
Rearranging this formula to solve for the height, we get:
Height=BaseArea
Substituting the given values, we get:
Height=12 cm60 cm²=5 cm
Therefore, Chloe is the only student who wrote the correct formula to find the height of the rectangle. The correct formula is:
Height=Base Area
I hope this helps!
Step-by-step explanation:
Answers
Answer:
Step-by-step explanation:
He has $500 to start with, and he takes $25 out of the account each week. But he wants more than 200 in his account by the end of summer. 25 goes into 500 20 times. But if he wanted more than 200 left, like 300-400, he could spend 4 week's worth of money to have 400 left, or 8 weeks to have 300 left. This is the best-case scenario.
Answers
x ( x^2 - x - 2 ) = 0
x (x-2) (x+1) = 0
x = 0
x-2 = 0 --> x = 2
x+1 = 0 --> x = -1
x = 0, x = 2, x = -1
б) (-7x — 1)^2
в) (-5а +2в^4)^2
г) (x-12)(х+ 12)
д) (- 4n^3 +7)(4n^3+7)
Answers
Answer:
Step-by-step explanation:
a. a^4 - 2ab^2 - 2ab^2 + 4b^4 = a^4 - 4ab^2 + 4b^2
b. 49x^2 - 14x + 1
c. 25a^2 - 20ab^4 + 4b^8
d. x^2 - 144
e. -16n^6 - 28n^3 + 28n^3 + 49 = -16n^6 + 49