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
uysha [10]
3 years ago
5

Time taken by a randomly selected applicant for a mortgage to fill out a certain form has a normal distribution with mean value

9 min and standard deviation 3 min. If five individuals fill out a form on one day and six on another, what is the probability that the sample average amount of time taken on each day is at most 11 min? (Round your answer to four decimal places.)

Mathematics
1 answer:
snow_tiger [21]3 years ago
8 0

Answer:

a) The probability that the sample average amount of time taken on each day is at most 11 min.

P(X>11) = 0.2546

Step-by-step explanation:

<u>Step1:</u>-

Given data in a  normal distribution with mean value 9 min and standard deviation 3 min.

Let 'X' be the amount of time taken on each day

Given x = 11 , μ=9min and σ=3min

by using normal distribution

Z= \frac{x-mean}{S.D} = \frac{11-9}{3}

Z = 0.66>0

<u>Step2:</u>-

The probability that the sample average amount of time taken on each day is at most 11 min.

P(X>11) = P(z>z₁) = 0.5-A(z₁) ( check diagram)

                          = 0.5 - A(0.66)

                          = 0.5 - 0.2454 ( check normal table)

                          = 0.2546

<u>Conclusion</u>:-

<u>The probability that the sample average amount of time taken on each day is at most 11 min.</u>

<u>P(X>11) = 0.2546</u>

You might be interested in
Alison has $4 less than twice the amount Ben has. Which expression represents Alison’s amount if Ben has m dollars?
fredd [130]

Answer:

2m-4

Step-by-step explanation:

because she has double his amount (2*m) but $4 less therefore 2m-4

6 0
3 years ago
Read 2 more answers
If the radius of the circle is 7 cm, find its area, rounded to 2 decimal places.
stich3 [128]

Answer:

153.94

Step-by-step explanation:

The formula for area is pi*radius^2

the radius is 7, so we do pi7^2 which is 49pi

49pi is 153.93804 which is 153.94 rounded to two decimal places

8 0
3 years ago
A unit rate is a rate in which the _ in the comparison is 1 unit.
Nikitich [7]

Answer:

3.1415967382

Step-by-step explanation:

7 0
3 years ago
Whats the answer please hurry
rewona [7]
Give me points ahahahah thank you sir
8 0
3 years ago
HELPPPPPPPPPPPPPPPPP WITH THIS MATHHH.
Nuetrik [128]

Answer: From least to greatest: -2.4, -0.8, 0.2, 0.9, 1.6. Hope this helps you! :D

7 0
2 years ago
Read 2 more answers
Other questions:
  • Write the three forms of the distance formula.
    14·1 answer
  • HELP ASSAP WITH THIS QUESTION
    8·2 answers
  • What is 9 more then the sum of a number and three is 35 into a equation
    9·1 answer
  • what is the probability of selecting a red marble followed by a blue marble if you replace the marble in between drawing. a box
    9·1 answer
  • Y-3=-3y-43 solve the equation
    8·2 answers
  • Three hundred centimeters is the same as
    6·2 answers
  • Divide. help due its 11:59 tonight
    5·1 answer
  • Maria decided to take her family out for dinner at a restaurant the total cost was $96.00 She decided to leave the waiter a tip
    13·1 answer
  • Im not good at math plz help :)
    7·1 answer
  • A line has a slope of -6 and includes the points (g,-8) and (0,-2). What is the value of g?​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!