answer.
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
shutvik
19 days ago
15

Upgrading a certain software package requires installation of 68 new files. Files are installed consecutively. The installation

time is random, but on the average, it takes 15 sec to install one file, with a variance of 11 sec2. (a) What is the probability that the whole package is upgraded in less than 12 minutes?
Mathematics
1 answer:
lawyer [9.2K]19 days ago
7 0

Answer:

The chance of completing the entire package installation in under 12 minutes is 0.1271.

Step-by-step explanation:

We define X as a normal distribution representing the time taken in seconds to install the software. According to the Central Limit Theorem, X is approximately normal, where the mean is 15 and variance is 15, giving a standard deviation of √15 = 3.873.

To find the probability of the total installation lasting less than 12 minutes, which equals 720 seconds, each installation should average under 720/68 = 10.5882 seconds. Thus, we seek the probability that X is less than 10.5882. To do this, we will apply W, the standard deviation value of X, calculated via the formula provided.

Utilizing \phi, we reference the cumulative distribution function of the standard normal variable W, with values found in the attached file.

P(X < 10.5882) = P(\frac{X-15}{3.873} < \frac{10.5882-15}{3.873}) = P(W < -1,14)

Given the symmetry of the standard normal distribution density function, we ascertain \phi(-1.14) = 1-\phi(1.14) = 1-0.8729 = 0.1271.

Consequently, the probability that the installation process for the entire package is completed within 12 minutes is 0.1271.

Download pdf
You might be interested in
A basketball player makes 90% of her free throws. what is the probability she will miss for the first time on the seventh shot?
Inessa [9000]
The likelihood she will miss on her first attempt is 52.17%.
4 0
11 days ago
You are hiking and trying to determine how far away the nearest cabin is, which happens to be due north from your current positi
PIT_PIT [9117]

Answer:

The cabin is located 567 yards away.

Step-by-step solution:

The bearing angle of 21.2° corresponds to the interior angle near the cabin in the triangle.

Apply the tangent function:

Opposite side length: 220 yards

Adjacent side length: x (distance to cabin)

tan(21.2°) = opposite / adjacent

tan(21.2°) = 220 yards / x

Multiply both sides by x:

x × tan(21.2°) = 220 yards

Isolate x:

x = 220 yards / tan(21.2°)

x = 220 / 0.388

x = 567 yards

Hence, the cabin is 567 yards away.

6 0
1 month ago
Max has three blue and two red shirts. On each day of the three days,Monday,Tuesday and Wednesday, he selects one shirt at rando
babunello [8412]

Answer:

1) 3/5

2) 40%

3) 60%

Detailed Breakdown:

5 0
20 days ago
The warehouse already has 27 pallets of stock waiting to be unloaded, and the delivery van arrives with another 8. The warehouse
PIT_PIT [9117]
To find the solution, you need to add 27 and 8 together, which results in 35. After calculating that, you should subtract 32 from 35, leading to a remainder of 3, indicating that 3 extra pallets will be remaining as your answer.
5 0
20 days ago
Which statements are true regarding the diagram? Check all that apply.
Zina [9171]

Answer:

2.CE lies on line m.

4.Ray AD is identical to ray AC.

6.Angle ECB is formed by CE and CB.

Step-by-step explanation:

A diagram has been provided.

Our task is to identify the valid statements regarding the diagram.

1.CB is found on line n.

CB does not align with line n since points C and B do not lie on that line.

Thus, this statement is false.

2.CE is situated on line m.

CE is indeed positioned on line m because points C and E are both on this line.

This statement is accurate.

3.Ray BC is equivalent to ray CB.

A ray begins at a single point and continues indefinitely without a terminal point.

Ray CB starts at point C and stretches out from point B.

However, ray BC does not exist.

This statement is therefore false.

4.Ray AD is equivalent to ray AC.

Both AD and AC are rays.

They are equivalent since both originate from point A and extend in the same direction.

5.Angle EAD is formed from AE and DA.

This is false because angle EAD is created by ray AE and ray AD, not by ray DA.

6.Angle ECB is generated by CE and CB.

This is true as angle ECB is made by ray EC and ray BC.

5 0
20 days ago
Read 2 more answers
Other questions:
  • What teacher exhibited the most consistent performance over this 5 year span
    7·1 answer
  • What is the product of (3a + 2)(4a2 – 2a + 9)?
    8·1 answer
  • Dr. Spike is a big fan of Bojangles and is particularly interested in the popularity of its celebrated wings dinner. Starting fr
    5·1 answer
  • Gavin drank 3/4 of a liter of orange juice from a container, which was 3/8 of the orange juice that was originally in the contai
    6·1 answer
  • A regression was done for 20 cities with latitude as the explanatory variable (x) and average january temperature as the respons
    8·1 answer
  • Tracy sells water at a fair in 17oz bottles or 11oz cans. If on one shelf she has 11 containers of water that hold a total of 15
    5·1 answer
  • A square OABC with the length of a side 6 cm and circle k(O) with a radius 5 cm are given. Which of the lines OA , AB , BC , or
    12·1 answer
  • What is the sum? StartFraction 3 Over x EndFraction + StartFraction 4 Over x squared EndFraction StartFraction 3 x + 4 Over x cu
    13·2 answers
  • Ruben bought 6 new books for his collection. This increased his collection by 12%. How many books did he have before his purchas
    11·1 answer
  • A metal part for a machine is now 5.85 inches long. the specifications call for it to be 5.72 inches long, with a tolerance of 
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!