20 POINTS! The managers of an automotive insurance company investigated whether the customers in region A have a higher proporti
on of speeding tickets than the customers in region B. The managers selected 154
customers from region A at random and found that 79 have had a speeding ticket. The managers also selected 148 customers from region B and found that 67
have had a speeding ticket.
To test whether the results could be explained by random chance, the managers simulated 1,000 rerandomizations of the data and then subtracted the sample proportion of region B from the sample proportion of region A in each of the simulations. The table shows the results of the differences.
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customers from region A at random and found that 79 have had a speeding ticket. The managers also selected 148 customers from region B and found that 67
have had a speeding ticket.
To test whether the results could be explained by random chance, the managers simulated 1,000 rerandomizations of the data and then subtracted the sample proportion of region B from the sample proportion of region A in each of the simulations. The table shows the results of the differences.
SEE PICTURES BEFORE ANSWERING
1 answer:
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Answer:
or
Step-by-step explanation:
We are going to see if the exponential curve is of the form:
, (
).
If you are given the intercept, then
is easy to find.
It is just the coordinate of the
intercept is your value for
.
(Why? The intercept happens when
. Replacing
with 0 gives
. This says when
.)
So .
So our function so far looks like this:
Now to find we need another point. We have two more points. So we will find
using one of them and verify for our resulting equation works for the other.
Let's do this.
We are given is a point on our curve.
So when ,
.
Divide both sides by 8:
Reduce the fraction:
So the equation if it works out for the other point given is:
Let's try it. So the last point given that we need to satisfy is .
This says when ,
.
Let's replace with 2 and see what we get for
:
So we are good. We have found an equation satisfying all 3 points given.
The equation is .
Answer:
E (Y) = 3
Step-by-step explanation:
If a 4-sided die is being rolled repeatedly; and the odd-numbered rolls (1st 3rd,5th, etc.)
The probability of odd number roll will be, p(T) =
However, on your even-numbered rolls, you are victorious if you get a 3 or 4. Also, the probability of even number roll, p(U) =
In order to calculate: E (Y); We can say Y to be the number of times you roll.
We know that;
E (Y) = E ( Y|T ) p(T) + E ( Y|U ) p(U)
Let us calculate E ( Y|T ) and E ( Y|U )
Y|T ≅ geometric =
Y|U ≅ geometric =
also; x ≅ geometric (p)
∴ E (x) =
⇒ = 4 ; also
= 2
E (Y) = 4 × + 2 ×
= 2+1
E (Y) = 3
Answer:
Step-by-step explanation:
The domain is the span of x-values covered by the graph.
From the graph, we can see that the x-values covered by the graph is all values to the left of zero including zero.
Therefore, the domain is all x-values less than or equal to 0:
Further notes:
In interval notation, this is: