3 x 4 - 1 + 2
With parentheses would be - (3x4) - (1+2)
This is because either way, you would still do the multiplication first because of the rule of PEMDAS/GEMDAS which states that parentheses and grouping symbols go first.
The percent 6324% and the fraction 1581/25 is equivalent to the decimal 63.24
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:
the percent reduction is <u>33.6%</u> and the number of people who were issued a parking ticket are <u>42</u>.
Step-by-step explanation:
Given:
Last month in the village of 125 people were issued a parking ticket.
This month only 83 people were issued one.
Now, to find the percent reduction from this month to last month and the number of people who were issued a Parking ticket.
So, the reduction of the number of people who were issued a Parking ticket from this month to last month are:
125 people - 83 people = 42 people.
Thus, 42 people reduction from this month to last month.
Now, to get the percent reduction:



Therefore, the percent reduction is 33.6% and the number of people who were issued a parking ticket are 42.