Answer:
a) P(X<100)=0.7855
P(X<200)=0.9418
P(100<X<200)=0.1830
b) P(X>M+2σ)=0.0498
c) Median = 48.74 m
Step-by-step explanation:
If the distance X is modeled by an exponential distribution, with parameter λ=0.01422, we have:
The cumulative probability function can be expressed as:

a) The probability that the distance is at most 100 m is:

The probability that the distance is at most 200 m is:

The probability that the distance is between 100 and 200 m is:

b) The mean is M=1/λ=70.3235 and the standard deviation σ=1/λ=70.3235.
So we have to calculate the probability that X exceeds 2 times the s.d. from the mean:

c) The value of the median distance is

Answer:
246.137
Step-by-step explanation:
246.13687 ≈ 246.137 (rounded to the nearest thousandth)
Answer:
y - y1 = m*(x - x1) where m = slope and (x1,y1) is the point. hope it helped
Step-by-step explanation:
Answer:
1. -1/2b
2. 3a/b^2
3. 3b^2/1a^2
4. -1a^2b/2
Step-by-step explanation:
Simplified answers and then the variables cancel out each out as much as they can (That's the best way to explain it)