The mean for the total cost of the two items is 82. The standard deviation of the total cost of the two items is 14.14214. The probability of finding two random items at this auction with a total price of less than $80 is 0.44377.
<h3>What is a random variable?</h3>
A random variable is a variable with an undetermined value that gives values to each of the results of a statistical experiment.
From the parameters given:
- Let us assume that X represents the random variable that connotes the price of the item during the large auction.
Given that:
- X is normally distributed with a mean of $41 and
- A standard deviation of $10
X 
N(μ, σ²)
X N(41, 10²)
Suppose we made an assumption that Y should denote the total cost of items:
i.e.
Y = X₁ + X₂
Here;
The variance of (Y) is:
= 14.14214
The probability of finding the two random items at the auction with a total price of less than $80 can be computed as:
P(Y < 80)
Since the data is normally distributed,
Recall that:
P(Z < -z) = P(Z > z)
Hence;
= P (Z > 0.1414213)
= 1 - P(Z ≤ 0.1414213)
From the Z tables, the value of Z at 0.1414213 is 0.55623;
= 1 - 0.55623
= 0.44377
Therefore, we can conclude that the probability of finding two random items at this auction with a total price of less than $80 is 0.44377.
Learn more about random variables in probability here:
brainly.com/question/15246027
Answer:
The answer is "
".
Explanation:
So,
are in the same rate because M=10 is finite.
Answer:Astronomers estimate the age of the universe in two ways: 1) by looking for the oldest stars; and 2) by measuring the rate of expansion of the universe and extrapolating back to the Big Bang; just as crime detectives can trace the origin of a bullet from the holes in a wall.
Explanation:
Answer:
C. Double Jeopardy Clause.
Explanation:
The Fifth Amendment of the United States Constitution provides a number of rights that a person has dealing with both civil as well as criminal proceedings. This Amendment included the "Self-Incriminatory Clause, Double Jeopardy Clause, and the Due Process Clause" among others.
In the case of Matthew, the Double Jeopardy Clause bars the prosecution from carrying out another trial on Matthew's case for the second time. This clause states that <em>"No person shall . . . be subject for the same offense to be twice put in jeopardy of life or limb . . . . "</em> This means that a person cannot be tried more than once for the same crime.
Thus, the correct answer is option C.
Answer:
B. Your religious affiliation
Explanation:
The first part of your college application process includes providing your personal information. The basic information should include your:
- Name
- Social security number
- Current address
- Permanent address
- Telephone number
- Email address
- Birth date
- Citizenship
- Sex or gender
- Ethnic affiliation
- Parent or guardian contact information
Answering questions about your sex or gender and ethnic affiliation is usually optional and does not affect your application process. You will not be asked to provide information about your religious affiliation at all.
