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
storchak [24]
2 years ago
9

Suppose the round-trip airfare between Philadelphia and Los Angeles a month before the departure date follows the normal probabi

lity distribution with a mean of $387.20 and a standard deviation of $68.50. What is the probability that a randomly selected airfare between these two cities will be between $325 and $425?
Mathematics
1 answer:
QveST [7]2 years ago
7 0

Answer:

52.74% probability that a randomly selected airfare between these two cities will be between $325 and $425

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 387.20, \sigma = 68.50

What is the probability that a randomly selected airfare between these two cities will be between $325 and $425?

This is the pvalue of Z when X = 425 subtracted by the pvalue of Z when X = 325. So

X = 425

Z = \frac{X - \mu}{\sigma}

Z = \frac{425 - 387.20}{68.50}

Z = 0.55

Z = 0.55 has a pvalue of 0.7088

X = 325

Z = \frac{X - \mu}{\sigma}

Z = \frac{325 - 387.20}{68.50}

Z = -0.91

Z = -0.91 has a pvalue of 0.1814

0.7088 - 0.1814 = 0.5274

52.74% probability that a randomly selected airfare between these two cities will be between $325 and $425

You might be interested in
An equation is shown below:
Dahasolnce [82]
Part A: first multiply 2 by x and -3, then combine the like terms, after that add 6 from both sides, then subtract 6x from both side, the answer is -5.
 4x + 2(x-3) = 4x + 2x - 11
          4x +2x -6 = 4x + 2x - 11
           6x -6 = 6x - 11
           6x = 6x -11 +6
         6x = 6x -5
          6x-6x= -5 
         0 = -5 
 part B) add the like terms
7 0
2 years ago
Read 2 more answers
Which statement is correct? (If you can answer 1 and 3 it would help a lot too)
Lera25 [3.4K]

Answer:

the answer is 3 because 1x3=3

5 0
2 years ago
Thanos is convinced that (x+y+3)^2=x^2+y^2+9. Explain why he is incorrect. Draw a box diagram to prove your statement.
adoni [48]
Ummmmmmmmmmmmmmmmnmmmmmmmmm
8 0
3 years ago
Read 2 more answers
Rule for raising a power to a new power
KiRa [710]
The practical rule would be, times that number, by the result of the first time you multiplied the first number. But, it would all depend by how much your're raising the number by.

<u>For example:</u> \boxed{4^6}

We do, (4*4*4*4*4*4)= \boxed{\bf{4^6}}= 4096

But, once again, this was an example. This would show and illustrate the rule of "raising a power".<span />
5 0
3 years ago
In a recent year, certain colleges and universities received about $268 million in aid. Ten years later, they received about $94
topjm [15]
D) 65% decrease. 

I worked it out by: 268 mill - 94 mill (calculating the difference in money) 
then divided that by the original 268 mill, to finally get 0.64925.... 

And since the money is decreasing, it is a 65% decrease. 

Hope this helps, and I think it should be right - but maybe double check in case :) 
8 0
3 years ago
Read 2 more answers
Other questions:
  • Johnny is 52 inches tall . max is 65 inches tall. What percent of Johnny height is max
    10·1 answer
  • What is 5.329 rounded to the nearest whole number
    10·2 answers
  • What is the surface area of the rectangular prism below?
    9·2 answers
  • Is 2 ones the same as 20 tenths
    15·1 answer
  • Answer please...................
    15·1 answer
  • What type of number is -16.8.<br><br> -Rational number<br> - Whole number <br> - Integer number
    8·1 answer
  • By using the completing the squares method solve<br> Xsquared-8x+3=0
    12·2 answers
  • The drawing shows the measurements in a section of a circular design how long is the radius of the circle?
    11·1 answer
  • Help pls all shaded parts need answers
    6·1 answer
  • Please. I only need help on parts A and B. Please DO NOT just answer with you don't know or something compelety random. Thanks.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!