Hey dude we’re both from Nepal so here’s the written worksheet hope it helps :)
Hello :
note 1 :
p(A|B) = p(A∩B)/<span> p(B)
note 2 :
</span> A and B independent: p(A∩B) = p(A)×p(B)
calculate : p(A∩B)
p(A∩B) = p(A|B)×p(B)
p(A∩B) = 0.35 ×0.75 = 0.2625
but : p(A)×p(B) = 0.44×0.75 = 0.33
conclusion :
<span>the events A and B are not independent ?</span>
Answer:
12 year old is the youngest sibling
Step-by-step explanation:
Given: The ages of three siblings are all consecutive integers.
The sum of sibling´s age is 39.
Now, finding the age of youngest sibling.
Lets assume the age of youngest sibling be "x"
As given, The ages of three siblings are all consecutive integers.
∴ Age of 2nd sibling will be 
Age of 3rd sibling will be 
next, forming an equation for the sum of sibling´s age.
⇒
Opening the parenthesis
⇒ 
⇒
Subtracting both side by 3
⇒
⇒
Dividing both side by 3
⇒
∴ x= 12
Subtituting the value of x to find the age of other sibling
∴Youngest sibling age= 12 years
2nd sibling age= 13 years
3rd sibling age= 14 years
Hence, The youngest sibling is 12 years old.
Answer:
1. yes
2. yes
3. no
4. no
Step-by-step explanation:
Replace x by each value of x.

1. yes

2. yes

3. no

4. no (this is not a solution because the value must be greater than 44 not equal to)

Answer:
x = -1 + 2 sqr2
or
x = -1 -2 sqr2
Step-by-step explanation: