Solve the equation to find the value of m and n. 2m + 3n = -5 5m + 3n = 1
2 answers:
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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:
- P(X = 0) = 0.2.
- P(X = 1) = 0.4.
- P(X = 2) = 0.3.
- P(X = 3) = 0.1.
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:
$167.2
Step-by-step explanation:
It has been given that the price of a new computer is $800.00 and refurbished computer with the same equipment has a price of $640.00.
Let us find the amount that we will save with a refurbished computer if we put the difference into the savings account for a year using simple interest formula.
, where A= Amount after t years, P=principal amount, r = interest rate (decimal form) and t=time.
Our principal amount will be the difference of prices of new computer and refurbished computer.
Upon substituting our given values in above formula we will get,
Therefore, we will save $167.2 with refurbished computer when we put the difference into the savings account for a year.