1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
AlekseyPX
3 years ago
10

The volume of wine in liters produced by a parcel of vineyard every year is modeled by a Gaussian distribution with an average o

f 100 and a variance of 9. Find the probability that this year it will produce 115 liters of wine
Mathematics
1 answer:
saul85 [17]3 years ago
6 0

Answer:

0.99865

Step-by-step explanation:

The question above is modelled by gaussian distribution. Gaussian distribution is also known as Normal distribution.

To solve the above question, we would be using the z score formula

The formula for calculating a z-score

z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

In the above question,

x is 115 liters

μ is 100

σ is the population standard deviation is unknown. But we were given variance in the question.

Standard deviation = √Variance

Variance = 9

Hence, Standard deviation = √9 = 3

We go ahead to calculate our z score

z = (x-μ)/σ

z = (115 - 100) / 3

z = 15/ 3

z score = 5

Using the z score table of normal distribution to find the Probability of having a z score of 5

P(x = 115) = P(z = 5) =

0.99865

Therefore the probability that this year it will produce 115 liters of wine = 0.99865

You might be interested in
A parking space shaped like a parallelogram has a base of 17 feet and a height is 9 feet. A car parked in the space is 16 feet l
Sauron [17]
17 by 9 parking space
16 by 6 car

17-16=1
9-6=3
1 foot by 3 feet left of parking space
8 0
3 years ago
If you made a profit of $5,000 with revenue of $20,000. What were your total expenses?
aev [14]
Your total expenses were $25,000.
4 0
3 years ago
Which is a stretch of an exponential decay function? f(x) = one-fifth (one-fifth) superscript x f(x) = one-fifth(5)x f(x) = 5one
vitfil [10]

The exponential function that represents a stretch of a decay function is given as follows:

f(x) = \frac{5}{4}\left(\frac{4}{5}\right)^x

<h3>What is an exponential function?</h3>

An exponential function is modeled by:

y = ab^x.

In which:

  • a is the initial value.
  • b is the rate of change.

It represents a stretch if a > 1, and a decay function if b < 1. Researching the problem on the internet, the correct option is given as follows:

f(x) = \frac{5}{4}\left(\frac{4}{5}\right)^x

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ4

8 0
2 years ago
How do you solve the area of a square
valina [46]
A=a^2 where a is the length of the side of a square.
3 0
3 years ago
On January 1, 2009, Jessica owed $10,212 to her friend Sam, who was kind enough not to charge Jessica any interest. Each month d
nevsk [136]

Answer:

551

Step-by-step explanation:

6612 divided by 12 ( number of months) =551

3 0
3 years ago
Other questions:
  • I need to simplify this
    10·1 answer
  • The coordinate of point T are (3,-11). The midpoint of line ST is (3,-9). Find the coordinates of point S
    13·1 answer
  • I need help with this question
    13·2 answers
  • If a line contains the point (0, -1) and has a slope of 2, then which of the following points also lies on the line?
    11·2 answers
  • On a farm, there are 18 heads and 134 legs. How many chickens and dogs are there? (50 pts.)
    15·2 answers
  • A principal orders t-shirts and wants to check
    9·1 answer
  • How many terms are in the algebraic expression 3x^2 + 4y - 1
    6·2 answers
  • Can 8 go into 3? plz answer
    8·1 answer
  • Someone please helppp!!!
    15·1 answer
  • Sample Response: First, I wrote each ratio as a fraction. Then I found a common denominator of 20. The fraction 4/10 is 8/20. Co
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!