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:
Step-by-step explanation:
GIvn that Ming needs 1/2 pint of red paint for an art project
The 6 jars he has, have the following red paint in them
A. 2/3 pint
B.1/4 pint
C.4/6 pint
D.3/4 pint
E. 3/8 pint
F.2/6 pint
Since he want 1/2 pint he can use only jar B two times
First pour jar B contents equal to 1/4 pint to a new empty jar.
Now he can pour from A 1/4 pint to B, and then again use that
So altogether he gets 1/2 pint of red paint.
Answer:
D is correct option.
Step-by-step explanation:
We are given a function 
We need to find new function reflection of f(x) across the y-axis.
When function reflection across y-axis 

Therefore, 
New function, 

Thus, D is correct option.