Answer:
1. 52
2. 65
3. 68
Step-by-step explanation:
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:
Option D.
Step-by-step explanation:
Borrowed $50 from your cousin. You pay him $8 and must pay him back within 12 weeks.
Let x be the amount paid on each week.


You can buy bags of pretzels in packages of 12. You $50 to spend, but want to have at least $8 left.
Let x be the amount of each package.

You owe your sister $50. You plan to pay her $12 a week till you owe her less than $8.
Let x be the amount paid on each week.

You have $50 to spend on clothes, but you need to save at least $8 for bus fare. You plan to spend the rest on shirts that cost $12 each (including tax).
Let x be the number of shirts

Therefore, the correct option is D.
Step-by-step explanation:
A
is 45
B
is 45
C
is 90
hence
A+B+C=180
=45+45+90 =180
So "of" means multiply and 30% is .3 so multiply .3 by the 240 times and u get... 72!