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
Anna007 [38]
3 years ago
6

g The downtime per day for a computing facility has mean 4 hours and standard deviation 0.9 hour. What assumptions must be true

to use the result of the central limit theorem to obtain a valid approximation for probabilities about the average daily downtime
Mathematics
1 answer:
Sedaia [141]3 years ago
7 0

Answer:

To obtain a valid approximation for probabilities about the average daily downtime, either the underlying distribution(of the downtime per day for a computing facility) must be normal, or the sample size must be of 30 or more.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

In this question:

To obtain a valid approximation for probabilities about the average daily downtime, either the underlying distribution(of the downtime per day for a computing facility) must be normal, or the sample size must be of 30 or more.

You might be interested in
A sweater is marked down $25 to $19 what is the percent of change
Marrrta [24]
19/25 = x/100
Cross multiply:
1,900
Divide 1,900 by 25
Equals 76
Subtract 76 from 100
Answer: 24% change

I hope this helps!
7 0
3 years ago
The expression 2(l + w) is used to calculate the perimeter of a rectangle, where l is length and w is width. If the length is 2/
xeze [42]

Answer:

P = 10/7 units

Step-by-step explanation:

Answer:

w ≥ 6

l ≥ 11

Step-by-step explanation:

The perimeter of a rectangle is equal to P = 2(l+w) where l=length and w=width. Here the length is 2/7. This means the width is 3/7. Substitute l=2/7 and w=3/7 into the perimeter equation. Then solve for P.

P = 2(\frac{2}{7} +\frac{3}{7} )\\\\P = 2(\frac{5}{7})\\\\P = \frac{10}{7}

6 0
3 years ago
Read 2 more answers
Genuinely confused, how would you solve this? (will mark for brainliest!!)
Yanka [14]

Answer:

Length of the bold sector: 40.3ft

Area of the bold sector: 282.08

Step-by-step explanation:

Finding the sector length: Assuming that pi=3.14, the diameter is 87.92 ft. The ratio of the bold section to the whole circumference is 165 to 360. So you need to multiply the circumference by the ratio. (87.92 x 165)/360=40.3

Finding the sector area: Assuming that pi=3.14, the area of the circle is 615.44 sq. ft. The ratio of the sector area to the area of the whole circle is 165:360. (615.44 x 165)/360=282.08, rounded to the nearest 100th.

3 0
3 years ago
"More than 60% of the students scored below the mean on the last test." Can this statement be true? Why or why not?
Lelu [443]
The mean is the average of a set of numbers.

So if the remaining 40% of students score 100 points, and the 60% score like 50 points, then the mean would still be 70 points because of the 40% of students that scored super high.

So yes, it can be true.
8 0
3 years ago
Read 2 more answers
Find the volume of the triangular prism described below.
Luda [366]

The volume of the prism 121.6 cube in.

Step-by-step explanation:

Given,

The base is right angle triangle whose two sides are equal.

So,

Base (b) = 8 in

Another side of right angle triangle (l) = 8 in

Height (h) of the prism = 3.8 in

To find the volume of the prism.

Formula:

V = \frac{1}{2}bhl

Now,

V = \frac{1}{2}×8×8×3.8 cube in

= 121.6 cube in.

8 0
3 years ago
Other questions:
  • Solve x + 5 = 8.
    5·2 answers
  • The cost of hiring a hall for a party can be worked out using this formula.
    15·1 answer
  • A 96 ​-inch board is cut into two pieces. One piece is five times the length of the other. Find the lengths of the two pieces.
    8·1 answer
  • What is 6 divided by 603
    13·2 answers
  • Please help with this math!
    14·1 answer
  • Wade Boggs played professional baseball for three different teams in 18 years. The table shows his total number of hits for each
    15·2 answers
  • A rectangular room measures 21 feet by 28 feet with a 10-foot-high ceiling. The flooring is being replaced with carpeting that s
    12·1 answer
  • Geometry help please :)
    15·1 answer
  • I promise I'll give you a BRAINLIEST if you add the working out
    13·1 answer
  • Mary walks from corner D to corner E to corner F on a city block that measures 264 feet wide and 900 feet long. Kate walks diago
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!