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
MAXImum [283]
3 years ago
14

The amount of time a passenger waits at an airport check-in counter is random variable with mean 10 minutes and standard deviati

on of 2 minutes. Suppose a random sample of 50 customers is observed. Calculate the probability that the average waiting time waiting in line for this sample is (a) less than 10 minutes (b) between 5 and 10 minutes
Mathematics
1 answer:
Stolb23 [73]3 years ago
3 0

Answer:

(a) less than 10 minutes

= 0.5

(b) between 5 and 10 minutes

= 0.5

Step-by-step explanation:

We solve the above question using z score formula. We given a random number of samples, z score formula :

z-score is z = (x-μ)/ Standard error where

x is the raw score

μ is the population mean

Standard error : σ/√n

σ is the population standard deviation

n = number of samples

(a) less than 10 minutes

x = 10 μ = 10, σ = 2 n = 50

z = 10 - 10/2/√50

z = 0 / 0.2828427125

z = 0

Using the z table to find the probability

P(z ≤ 0) = P(z < 0) = P(x = 10)

= 0.5

Therefore, the probability that the average waiting time waiting in line for this sample is less than 10 minutes = 0.5

(b) between 5 and 10 minutes

i) For 5 minutes

x = 5 μ = 10, σ = 2 n = 50

z = 5 - 10/2/√50

z = -5 / 0.2828427125

= -17.67767

P-value from Z-Table:

P(x<5) = 0

Using the z table to find the probability

P(z ≤ 0) = P(z = -17.67767) = P(x = 5)

= 0

ii) For 10 minutes

x = 10 μ = 10, σ = 2 n = 50

z = 10 - 10/2/√50

z = 0 / 0.2828427125

z = 0

Using the z table to find the probability

P(z ≤ 0) = P(z < 0) = P(x = 10)

= 0.5

Hence, the probability that the average waiting time waiting in line for this sample is between 5 and 10 minutes is

P(x = 10) - P(x = 5)

= 0.5 - 0

= 0.5

You might be interested in
A coffee shop uses 136 of a package of coffee beans to make 14 of a pot of coffee.How many pots of coffee can the coffee shop ma
zalisa [80]
I don’t know. I’m just trying to get free skips.
7 0
3 years ago
The perimeter of a rectangular painting is 272 cm if the width of the painting is 61 cm, what is its length?
Semmy [17]

Answer: length = 75 cm

Step-by-step explanation:

61 x 2 = 122

272-122= 150

150 divided by 2 = 75

check: 75+61= 136

136 x 2 = 272

hope this helps!

6 0
3 years ago
Can anyone answer these 2?​
steposvetlana [31]

Answer:

1.) 12x-10

2.)18x+10

Step-by-step explanation:

8 0
3 years ago
A rectangular rug has an area of 84 square feet. If its length is 2 feet more than twice its​ width, find the dimensions of the
weeeeeb [17]

L=2W+2

W=(L-2)/2

A=LW, using W from above makes this

A=L(L-2)/2

2A=L^2-2L

L^2-2L-2A=0, given A=84

L^2-2L-168=0

(L-14)(L+12)=0, since L>0

L=14

The length of the rug is 14 ft

(W=(L-2)/2=6 ft)

3 0
3 years ago
Please help me with this :)<br>If fake answer, then will be reported!​
arsen [322]

Answer:

10 miles less

Step-by-step explanation:

To get the direct distance first, we use the pythagorean theorem. Distance from Ferris to Butte directly would be the hypotenuse. By solving for the hypotenuse, we have 25 miles. Now the distance used previously is 35 mile. Hence, it (35 - 25 = 10 ) miles less.

3 0
3 years ago
Other questions:
  • Please help with this question
    8·2 answers
  • Can I get some help ? I tried everything but I can't find the answer :/
    5·1 answer
  • At murky middle school 372 students participate in sports if this is 60% then how many students go to the school
    5·1 answer
  • Which of the following is a polynomial with roots 4,6, and -7?
    12·2 answers
  • What is the equation of the line, in slope-intercept form, that passes through (4.2) and (-2, -3)?
    9·1 answer
  • Which of the following is closest to the solution to the problem below<br> (20 3/7) (14)
    9·1 answer
  • What’s 226997184 x 10 to the power of 8
    7·1 answer
  • 4x-(-8y-3x) bnsjskskekjwjjjzi​
    8·1 answer
  • Unit test, Part 2: Measurement of Two-Dimensional Figures Please help!!!
    10·1 answer
  • Please help me i'm so bad at math
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!