Is the table proportional? 1,5 2,10 3,15
1 answer:
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Answer:
a)
b)
Step-by-step explanation:
Part a
We assume that the parachutist lands at random point in the interval (x=A,y=B) we have a continuous random variable X. And the distribution of X would be uniform . And the density function would be given by:
And 0 for other case.
The operation fails, if parachutist's distance to A is more than five times as much as her distance to B.
So the point P in the interval (A,B) at which the distance to A is exactly 5 times the distance to B is given by:
And we can find the probability desired like this:
And from the cumulative distribution function of X ficen by we got:
Part b
For this case we assume that
On this case we assume that
The density function for the Gamma distribution is given by:
And on this case we can find the probability using the complement rule like this:
We can solve this problem with the following excel code:
"=1-GAMMA.DIST(1;2;1;TRUE)"
And if we do it by hand we need to do this:
Given :
Initial length of electric cable needed, .
Later, Sally is told that the homeowner has decide to cut back from a three-car garage to a two-car garage, which will eliminate two branch circuits, one of 23 feet and the other of 34 feet.
To Find :
How many feet of wire will be needed now.
Solution :
Wire needed is given by :
Required = Total wire - ( length of 1nd branch + length of 2nd branch )
Required = 550 - ( 23 + 34 )
Required = 550 - ( 57 ) ft
Required = 443 ft
Therefore, length of wire required is 443 ft.
Hence, this is the required solution.