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
serious [3.7K]
3 years ago
11

The duration of shoppers' time in Browse Wrld's new retail outlets is normally distributed with a mean of 27.8 minutes and a sta

ndard deviation of 11.4 minutes. How long must a visit be to put a shopper in the longest 10 percent
Mathematics
1 answer:
Sindrei [870]3 years ago
4 0

Answer:

A visit must be of at least 42.39 minutes to put a shopper in the longest 10 percent.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 27.8 minutes and a standard deviation of 11.4 minutes.

This means that \mu = 27.8, \sigma = 11.4

How long must a visit be to put a shopper in the longest 10 percent?

The 100 - 10 = 90th percentile, which is X when Z has a p-value of 0.9, so X when Z = 1.28.

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

1.28 = \frac{X - 27.8}{11.4}

X - 27.8 = 1.28*11.4

X = 42.39

A visit must be of at least 42.39 minutes to put a shopper in the longest 10 percent.

You might be interested in
What is 2/5 of the product of 5/6 and 42
Hunter-Best [27]
The answer to your equation is 14
5 0
3 years ago
How do i show the substitution method to solve x=5y-7 and 3y+2y=12
Katena32 [7]

Answer:x=-20  y=4

Step-by-step explanation:

5 0
3 years ago
Can you just answer this question?
harkovskaia [24]
It should be B 7 Pack for $1.82
4 0
3 years ago
Read 2 more answers
Carlos made a scale model of his house. The actual width is 30 feet, and the actual length is 45 feet. If the model has a width
olganol [36]
Hello!

Let's make a proportion:

\frac{30}{45} =  \frac{6}{x}

Cross multiply

45 × 6 = 270

Divide by 30

270 ÷ 30 = 9

\framebox {The length is 9 inches}
3 0
3 years ago
Can you help me find the slope for #2
Flauer [41]
-3 
because it goes left 1 up3
3/-1 = -3 as the slope
8 0
3 years ago
Read 2 more answers
Other questions:
  • How is subtracting-4x from 9x similar to subtracting -4 from 9?
    6·1 answer
  • Jason drove 4/5 of the way to his destination if he drove 480 miles what is his total distance of his trip
    8·1 answer
  • How do you find the intersection between 2 lines?
    5·2 answers
  • 10. Given f(x) = 2x + 8 which points are
    6·1 answer
  • question 1 a physician’s “patient panel” is the list of all patients under their care. in the us, the size of patient panels amo
    15·1 answer
  • 4. M is the midpoint of XY. If XM = 8-t and MY = 5t-10, find tand XY.​
    5·1 answer
  • Given the preimage and image, find the dilation scale factor​
    9·1 answer
  • 6. Factor Completely<br> (1 Point)<br> 2x2+x-45
    12·1 answer
  • ………………………………….. x z z z
    8·2 answers
  • can somebody please help me with this, also show work so that way i can copy because this is due tmr and i have no clue how to d
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!