3 years ago

What is X in this question: x/3+x/4+1=x/2

Mathematics

2 answers:

alexira [117]3 years ago

7 0

Answer: x= - 12

Step-by-step explanation:

Zepler [3.9K]3 years ago

4 0

Answer:

x = -12

Step-by-step explanation:

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We obtain the joint PMF directly from the joint MGF:

$M_{X,Y}(s,t)=0.1+0.2e^s+0.3e^t+0.4e^{s+t}$

$\implies\mathrm{Pr}[X=x,Y=y]=\begin{cases}0.1&\text{for }x=y=0\\0.2&\text{for }x=1,y=0\\0.3&\text{for }x=0,y=1\\0.4&\text{for }x=y=1\\0&\text{otherwise}\end{cases}$

Then

$\mathrm{Pr}[X=Y]=\mathrm{Pr}[X=Y=0]+\mathrm{Pr}[X=Y=1]=0.1+0.4=\boxed{0.5}$

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What is the probability of two dice being rolled and it being less than 7 and divisible by 3

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Answer:

Step-by-step explanation:

(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)

(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)

(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)

(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)

(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)

(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)

The bold numbers are less than 7, and the underlined numbers are divisible by 3. The total number of numbers are 36.

The number of numbers that are both underlined and bold are 7.

The probability is 7/36.

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