Answer:

And using the cdf we got:

Step-by-step explanation:
Previous concepts
The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:

And 0 for other case. Let X the random variable that represent the random variable of interest and we know that the distribution is given by:

We know the variance on this case given by :

So then the deviation is given by:

And if we solve for
we got:

The cumulative distribution function for the exponential distribution is given by:

Solution to the problem
And for this case we want to find this probability:

And using the cdf we got:

Fifteen times Fifteen point Five equals 82.2 so the answer would be 82.2 Meters
Answer:
a = 
Step-by-step explanation:
To find the value of a, find the Slope of both the equations.
For lines to be perpendicular to each other 
For line 1:
2x + 3y − 6 = 0 represent the line in y=mx +c form
3y = -2x + 6
y =
+ 
y =
+ 2
= 
For line 2:
ax - 3y = 5
ax = 5 + 3y
ax - 5 = 3y
y = 
= 
Apply the condition of perpendicularity:
*
= - 1

a = 
Answer:
D. zero
Step-by-step explanation:
Since the graphs do not intersect, there are zero solutions.