Using a discrete probability distribution, it is found that:
a) There is a 0.3 = 30% probability that he will mow exactly 2 lawns on a randomly selected day.
b) There is a 0.8 = 80% probability that he will mow at least 1 lawn on a randomly selected day.
c) The expected value is of 1.3 lawns mowed on a randomly selected day.
<h3>What is the discrete probability distribution?</h3>
Researching the problem on the internet, it is found that the distribution for the number of lawns mowed on a randomly selected dayis given by:
Item a:
P(X = 2) = 0.3, hence, there is a 0.3 = 30% probability that he will mow exactly 2 lawns on a randomly selected day.
Item b:
There is a 0.8 = 80% probability that he will mow at least 1 lawn on a randomly selected day.
Item c:
The expected value of a discrete distribution is given by the <u>sum of each value multiplied by it's respective probability</u>, hence:
E(X) = 0(0.2) + 1(0.4) + 2(0.3) + 3(0.1) = 1.3.
The expected value is of 1.3 lawns mowed on a randomly selected day.
More can be learned about discrete probability distributions at brainly.com/question/24855677
Answer:
y = x + 5
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
f(x) = - 2x + 1 ← is in slope- intercept form
with slope m = - 2
Given a line with slope m then the slope of a line perpendicular to it is
= - = - = , then
y = x + c
the line crosses the y- axis at (0, 5 ) ⇒ c = 5
y = x + 5 ← equation of perpendicular line
Answer:
- 1. Adjacent, 2. Vertical, 3. Neither
Step-by-step explanation:
1.
- The first pair is adjacent as they have common side.
2.
- The second pair is vertical as opposite angles of the crossed lines.
3.
- The third pair has no relationship with each other, so neither is the answer.
2(3)2 - 8 ÷ 2 + 6
(6) 2 - 8 ÷ 2 + 6
12 - 8 ÷ 2 + 6
12 - 4 + 6
8 + 6
14