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
mel-nik [20]
3 years ago
9

Data collected over time on the utilization of a computer core (as a proportion of the total capacity) were found to possess a r

elative frequency distribution that could be approximated by a beta density function with α = 2 and β = 4. Find the probability that the proportion of the core being used at any particular time will be less than 0.10.
Mathematics
1 answer:
Marianna [84]3 years ago
3 0

Answer:

The probability that the proportion of the core being used at any particular time will be less than 0.10 is 0.08146

Step-by-step explanation:

\mu =\frac{\alpha }{\alpha +\beta  } = \frac{1}{1 + \frac{\beta}{\alpha} } 1/3   0.33  = 33.33 %

       The Probability of that the proportion of the core being used at any particular time will be less than 0.10 is given by  

PDF = \frac{x^{\alpha -1} (1-x)^{\beta -1} }{\int\limits^1_0 {u^{\alpha -1} (1-u)^{\beta -1}} \, du }

where x = 0.1

α = 2 and β = 4

PDF = \frac{0.0729 }{\int\limits^1_0 {u^{\alpha -1} (1-u)^{\beta -1}} \, du } = 1.458  

CDF = \frac{\int\limits^{0.1}_0 {t^{\alpha -1} (1-t)^{\beta -1}} \, du }{\int\limits^1_0 {u^{\alpha -1} (1-u)^{\beta -1}} \, du } = 0.08146

The probability that the proportion of the core being used at any particular time will be less than 0.10 = 0.08146.

You might be interested in
Graph ​ y=4/7x−2 <br><br> I just need someone to explain where this would go on a graph​.
iris [78.8K]
Do you mean a number line?
If yes then it's 3.5.
I gave it my best try, I hope it helps
4 0
2 years ago
HELPPPPPPP!!!!! PLEASEEEE!!!!
maksim [4K]

Answer:x=1012

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Christine Wong has asked Dave and Mike to help her move into a new apartment on Sunday morning. She has asked them both, in case
lozanna [386]

Answer:

0.3339 = 33.39% probability that both Dave and Mike will show up

Step-by-step explanation:

Probability of independent events:

If A and B are independent events, the probability of both happening at the same time is given by:

P(A \cap B) = P(A)P(B)

In this question:

Event A: Dave shows up.

Event B: Mike shows up.

Christine knows that there is a 47% chance that Dave will not show up and a 37% chance that Mike will not show up.

This means that P(A) = 1 - 0.47 = 0.53, P(B) = 1 - 0.37 = 0.63.

a. What is the probability that both Dave and Mike will show up

P(A \cap B) = P(A)P(B) = 0.53*0.63 = 0.3339

0.3339 = 33.39% probability that both Dave and Mike will show up

8 0
2 years ago
F(x) = x + 2 g(x) = x – 4 (f g)(x) =
Sauron [17]

Answer:

x² - 2x - 8

Step-by-step explanation:

The notation (f·g)(x) means to multiply the two functions. Use the distributive property to simplify.

(f·g)(x) = (x+2)(x-4) = x² + 2x - 4x - 8 = x² - 2x - 8

4 0
3 years ago
Read 2 more answers
What is the sum of (2+4i) and (7+11i)
Romashka [77]
Add like terms
2+4i +7 +11 i =
2+7 + 4i+11i =
9+15i
3 0
3 years ago
Read 2 more answers
Other questions:
  • If f(x) =x/2 -2 and g(x) = 2x2 + x - 3, find (8 +g)(x),
    6·2 answers
  • Please answer this probability question.
    6·1 answer
  • Calculate the area of a circle whose diameter is 156 square​
    13·1 answer
  • What is 40/3 simplified
    5·1 answer
  • Please help!<br> Type the expression as radicals: <br> Q3/2
    8·1 answer
  • Let p: The number is even
    6·1 answer
  • Ali and jake went on a cross country trip they took a train part of the way and took a bus the rest of the way they traveled a t
    6·1 answer
  • What’s the volume of the cylinder i need help<br> please !!!
    7·1 answer
  • Write an equation that represents the line
    9·1 answer
  • Solve 4x + 5 = x + 8 please
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!