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:
E. After “robots”
Explanation:
Answer E
Correct. The underlined text is a modifying phrase that describes the word “robots.” By placing the phrase directly after the word it modifies, the writer can reduce ambiguity in the sentence. This choice makes it clear that the modifying phrase refers to robots, not people.
Answer:
hiiiii
Explanation:
hiiiiiiiii mình ko biết nha
Given:
a1(first term in arithmetic sequence): 14
a25 ( 25th term in arithmetic sequence): 206
Let d be the arithmetic difference
a25= a1+ 24d
206= 14+ 24 x d
Solving for d we get
d=8.
Thus the arithmetic difference is 8.
Answer:
if the women are equal with men, the whole nation will benefit from it.
Explanation:
BOOM!