Answer:
2 and 6
Step-by-step explanation:
2+6=8. 6-2=4.
The answer is b=3. divide 5 into 15
Answer:
They are not independent
Step-by-step explanation:
Given
E = Occurrence of 1 on first die
F = Sum of the uppermost occurrence in both die is 5
Required
Are E and F independent
First, we need to list the sample space of a roll of a die

Next, we list out the sample space of F


In (1): the sample space of E is:

So:


In (2): the sample space of F is:

So:



For E and F to be independent:

Substitute values for P(E) and P(F)
This gives:


However, the actual value of P(E and F) is 0.
This is so because
and
have 0 common elements:
So:

Compare
and
.
These values are not equal.
Hence: the two events are not independent
Answer:
And if we solve for a we got
And for this case the answer would be 35185 the lowest 1% for the salary
Step-by-step explanation:
Let X the random variable that represent the salary, and for this case we can assume that the distribution for X is given by:
Where
and
And we want to find a value a, such that we satisfy this condition:
(a)
(b)
We can use the z score again in order to find the value a.
As we can see on the figure attached the z value that satisfy the condition with 0.01 of the area on the left and 0.99 of the area on the right it's z=-2.33. On this case P(Z<-2.33)=0.01 and P(z>-2.33)=0.99
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got
And for this case the answer would be 35185 the lowest 1% for the salary
Step-by-step explanation:
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