Answer:
Option B
Step-by-step explanation:
The slope of the line BC is,
Since AD is altitude to BC, we can say AD is perpendicular to BC, so the slope of the line AD which is perpendicular line to BC will be,
Answer:
a)
b)
c)
d)
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:
Solution to the problem
For this case we have that X is represented by the following distribution:
Is important to remember that th cumulative distribution for X is given by:
Part a
For this case we want this probability:
And using the cumulative distribution function we have this:
Part b
Since we want the probability that the man exceeds the mean by more than 2 deviations
For this case the mean is given by:
And by properties the deviation is the same value
So then 2 deviations correspond to 2*74.516=149.03
And the want this probability:
And we can find this probability using the complement rule:
Part c
For the median we need to find a value of m such that:
If we use the cumulative distribution function we got:
And if we solve for m we got this:
If we apply natural log on both sides we got:
Part d
For this case we have this equation:
If we apply the cumulative distribution function we got:
If w solve for a we can do this:
Using natural log on btoh sides we got: