Answer:
(a) The probability of waiting less than 12 minutes between successive speeders using the cumulative distribution function is 0.7981.
(b) The probability of waiting less than 12 minutes between successive speeders using the probability density function is 0.7981.
Step-by-step explanation:
The cumulative distribution function of the random variable <em>X, </em>the waiting time, in hours, between successive speeders spotted by a radar unit is:

(a)
Compute the probability of waiting less than 12 minutes between successive speeders using the cumulative distribution function as follows:

The probability is:


Thus, the probability of waiting less than 12 minutes between successive speeders using the cumulative distribution function is 0.7981.
(b)
The probability density function of <em>X</em> is:

Compute the probability of waiting less than 12 minutes between successive speeders using the probability density function as follows:

![=8\times [\frac{-e^{-8x}}{8}]^{0.20}_{0}\\\\=[-e^{-8x}]^{0.20}_{0}\\\\=(-e^{-8\times 0.20})-(-e^{-8\times 0})\\\\=-0.2019+1\\\\=0.7981](https://tex.z-dn.net/?f=%3D8%5Ctimes%20%5B%5Cfrac%7B-e%5E%7B-8x%7D%7D%7B8%7D%5D%5E%7B0.20%7D_%7B0%7D%5C%5C%5C%5C%3D%5B-e%5E%7B-8x%7D%5D%5E%7B0.20%7D_%7B0%7D%5C%5C%5C%5C%3D%28-e%5E%7B-8%5Ctimes%200.20%7D%29-%28-e%5E%7B-8%5Ctimes%200%7D%29%5C%5C%5C%5C%3D-0.2019%2B1%5C%5C%5C%5C%3D0.7981)
Thus, the probability of waiting less than 12 minutes between successive speeders using the probability density function is 0.7981.
Answer:
16 because if each chair has 4 legs you multiply that by the amount of chairs you have. 4x4=16
Step-by-step explanation:
4x4=16
Answer:
36k
Step-by-step explanation:
36k = 2² × 3² × k
144k = 2^4 × 3² × k
GCF = 2² × 3² × k
GFC = 36k
Answer:
its the first graph in the first one and the same thing with the second graph in the number 2 pleaes brailnliest
Step-by-step explanation:
The answer to your question is 7