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
Neporo4naja [7]
3 years ago
11

A study of long-distance phone calls made from General Electric Corporate Headquarters in Fairfield, Connecticut, revealed the l

ength of the calls, in minutes, follows the normal probability distribution. The mean length of time per call was 4.2 minutes and the standard deviation was 0.40 minutes. What is the probability that calls last between 4.2 and 4.9 minutes
Mathematics
1 answer:
lesya692 [45]3 years ago
7 0

Answer:

The probability that a call last between 4.2 and 4.9 minutes is 0.4599

Step-by-step explanation:

Let X be the length in minutes of a random phone call. X is a normal distribution with mean λ=4.2 and standard deviation σ=0.4. We want to know P(4.2 < X < 4.9). In order to make computations, we will use W, the standarization of X, given by the following formula

W = \frac{X-\mu}{\sigma} = \frac{X-4.2}{0.4}

We will use \phi , the cummulative distribution function of W. The values of \phi are well known and the can be found in the attached file

P(4.2 < X < 4.9) = P(\frac{4.2-4.2}{0.4} < \frac{X-4.2}{0.4} < \frac{4.9-4.2}{0.4}) = P(0 < W < 1.75) = \\ \phi(1.75) - \phi(0) = 0.9599-0.5 = 0.4599

We conclude that the probability that a call last between 4.2 and 4.9 minutes is 0.4599

Download pdf
You might be interested in
10⁵ what does this mean? im stuck
jeka94
Exponent 10 to the 5th power, answer 100,000
6 0
3 years ago
Read 2 more answers
Determine the number of solutions that exist to the equation below 8(j-4)=2(4j-16)
Firdavs [7]
Hello :
<span>8(j-4)=2(4j-16)
</span><span>2(4j-16)= 2(4(j-4))=8(j-4)
</span>8(j-4)= 8(j-4)....(identity : infinty solutions)

5 0
3 years ago
Matching inequalities with statements
Xelga [282]

Answer:

closed, or shaded, circle is used to represent the inequalities greater than or equal to (≥) or less than or equal to (≤) . The point is part of the solution. An open circle is used for greater than (>) or less than (<). The point is not part of the solution.

6 0
3 years ago
1: Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not hav
OLga [1]

Answer:

(1) y=C, C\neq0

(2) x=C

(1) y=0

Step-by-step explanation:

For the linear equation, the power on the solitary variable must be 1.

When the graph of a function crosses/ touches the x-axis than the equation has solution/solutions otherwise it does not has a solution.

When it touches/cresses the x-axis for infinite times then it will have an infinite number of solutions.

(1) The linear equation y-C=0, where y is a variable and C is a non-zero constant,  C \neq 0, has the graph parallel to the x-axis. It has no solution as the graph will never cross/touch the x-axis.

Algebraically, in linear equation y-C=0, is independent of x, so there is no value of x for the solution to be exist.

(2) The linear equation x-C=0, where x is a variable and C is a constant, has one solution.

The solution for the equation is

x-C=0

\Rightarrow x=C, where C\neq0.

(3) The linear equation y=0, where y is a variable, has the graph coinciding with the x-axis. So, it has infinitely many solutions.

Algebraically, in linear equation y=0, is independent of x, so for all value of x, the given equation is zero. Hence, there are infinitely many solutions.

3 0
3 years ago
Courtney is twice as old as Andre and three yoars older than Natalio Courtnoy is half Shar's ago Tho differenco between Shani's
Ghella [55]

Answer:

Andre's

Step-by-step explanation

I think its Andre. I apologize if it is not.

3 0
3 years ago
Other questions:
  • A shade of orange paint is made with 5 parts res paint and 15 parts yellow paint, what percent of paint is red
    12·1 answer
  • What is the value of y in the equation 1/8• y=4
    7·2 answers
  • A farmer has a bale of hay with mass of 36 kilograms. How many milligrams of hay are in the bale?
    10·1 answer
  • 121 is 55% of what number?<br><br>A.) 220<br>B.) 121<br>C.) 66.55<br>D.) 242
    8·1 answer
  • What is (1-7x)(1+9x)
    6·2 answers
  • How do you answer this 6x+3=8x-21
    15·2 answers
  • It takes 53 minutes for 6 people to paint 6 walls. How many minutes does it take 20 people to paint 20 walls?
    14·2 answers
  • In a completely randomized experimental design involving five treatments, 13 observations were recorded for each of the five tre
    8·1 answer
  • In the first stage of cellular respiration, very little energy is released. <br><br> True or False?
    15·1 answer
  • Add the following weights:<br> 5 lb 9 oz<br> + 1 lb 9 oz<br> Ib<br> OZ
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!