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
jolli1 [7]
3 years ago
13

Suppose that a value of a measurement is distributed with mean 200 and standard deviation 5. Suppose the distribution is normall

y distributed as well
Calculate the probability that a single measurement exceeds 201.
b) Calculate the probability that an average of 100 measurements exceeds 201
c) Can part (a) be answered if we drop the assumption that the distribution is normal?
d) Can part (b) be answered if we drop the assumption that the distribution is normal?
Mathematics
1 answer:
Sonbull [250]3 years ago
5 0

Answer:

Step-by-step explanation:

Given that a  value of a measurement is distributed with mean 200 and standard deviation 5.

Let X be the value of measurement

X is N(200,5)

a) The probability that a single measurement exceeds 201.

=P(Z>0.2)\\= 0.5-0.0793\\=0.4207

b)The probability that an average of 100 measurements exceeds 201

=P(Z>\frac{1}{\frac{5}{\sqrt{100} } } \\=P(Z>2)\\=0.0228

c) Can part (a) be answered if we drop the assumption that the distribution is normal?

No, we cannot.  For a single item only if normal distribution is given we can do this.

d) Can part (b) be answered if we drop the assumption that the distribution is normal?

Yes, because when sample sizes are large, the mean follows normal irrespective of original distribution

You might be interested in
Mai will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $59.96 and costs an a
juin [17]

Answer:

600 miles.

Step-by-step explanation:

So basically we can write both plans as linear functions:

F(x) = $59.96+$0.14 . x

S(x) = $71.96+$0.12 . x

Where F(x) is the first plan, S(x) is the second one and X are the miles driven.

To know how many miles does Mai need to drive for the two plans to cost the same, we equalize both equations and isolate x.

F(x) = S (x)

$59.96+$0.14.x = $71.96+$0.12.x \\0.14x-0.12x=71.96-59.96\\0.02x=12\\x=12 : 0.02\\x= 600

Mai has to drive 600 miles for the two plans to cost the same-

4 0
3 years ago
How do i factor this?
Jet001 [13]
You need to watch a video on polynomials, that's how i learned to factor Polynomials

 https://www.youtube.com/watch?v=5MA1eZVegg4 - click on the uploader and you'll find how to factor it. 

i can't GIVE u the answers but YOU WILL LEARN IT :)
3 0
3 years ago
H + 86.43 = 531.79<br><br> h = ___________
dedylja [7]
H= 445.36
because you bring the 86.43 over to the 531.79. which would make 86.43 a negative number. so you subtract 531.79 by 86.43
6 0
3 years ago
Read 2 more answers
The equation X squared plus Y squared minus 2X plus 7Y +1 equals zero can be written as which of the following equations
ad-work [718]

For this case we must write in algebraic symbology the expression described above:

We have an equation, then:

  • x squared plus y squared: x ^ 2 + y ^ 2
  • minus 2x plus 7y plus 1: -2x + 7y + 1
  • equals zero: = 0

We construct the equation:

x ^ 2 + y ^ 2-2x + 7y + 1 = 0

Answer:

x ^ 2 + y ^ 2-2x + 7y + 1 = 0

6 0
3 years ago
Help me with this!!!! :)))
geniusboy [140]
Djdhdhhdjdjsndndndjdjddnjdnddndndndnnddnndndjsjsdnjd
8 0
3 years ago
Other questions:
  • Please help fast will give brainliest
    7·1 answer
  • Write an expression for the lengths of the rectangle in terms
    10·1 answer
  • PLEASE HELP ME TRYING TO MAKE HONOR ROLL PLASE HELP PLEASE
    10·1 answer
  • If trinalge abc= def by side-side-side triangle congruence theorem, then b=e by
    13·2 answers
  • Malik's arts and crafts shop has a bolt of crimson velvet 32 meters long. A customer came in during the morning and bought 120 c
    5·1 answer
  • Translate it and Simplify if needed :Four more than three times a number decreased by six
    10·1 answer
  • Harvey has a 5- gallon container of gasoline to fill all of his small engne tanks. He uses 1/2 gallon of the gasoline to fill ea
    14·1 answer
  • Ten ounces of a liquid contain 20%
    10·1 answer
  • Otto is told the average low temperature in January is 16.1∘C cooler than the average low temperature in November. What equation
    6·1 answer
  • Question 2 (1 point)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!