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
tekilochka [14]
3 years ago
11

A set of exam scores is normally distributed and has a mean of 80.2 and a standard deviation of 11. What is the probability that

a randomly selected score will be greater than 63.7
Mathematics
1 answer:
ZanzabumX [31]3 years ago
5 0

Answer:

93.32% probability that a randomly selected score will be greater than 63.7.

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 problem, we have that:

\mu = 80.2, \sigma = 11

What is the probability that a randomly selected score will be greater than 63.7.

This is 1 subtracted by the pvalue of Z when X = 63.7. So

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

Z = \frac{63.7 - 80.2}{11}

Z = -1.5

Z = -1.5 has a pvalue of 0.0668

1 - 0.0668 = 0.9332

93.32% probability that a randomly selected score will be greater than 63.7.

You might be interested in
Damon can flip 5 pancakes in 20 seconds,
katen-ka-za [31]

Answer:

24 + 30 = 54 pancakes flipped in 2 minutes :)

Step-by-step explanation:

damon = 5 pancakes in 20 seconds

we do 20 x 3 and 5 x 3 to find how many pancakes he can flip in a minute

15 pancakes and a minute, we then multiply them by 2 to get the amount for 2 minutes

30 pancakes flipped in 2 minutes

Hailey = 2 pancakes in 10 seconds. to make it an equal amount of pancakes per second with damon, i will multiply them by 2 to have 4 pancakes in 20 seconds

we will then do 4 x 3 and 20 x 3 to find out how many pancakes per minute

then we multiply by 2 for 2 minutes

7 0
2 years ago
Read 2 more answers
What is the solution of the system? Use substitution.<br><br> y = 6x + 2<br> 3y - 18x = 12
kicyunya [14]
3(6x+2)-18x=12 (y=6x+2, so you plug in 6x+2 into the y in 3y-18x=12)
18x+6-18x=12    (Then you distribute the 3 to the 6x and to the 2)
6=12                    (Combine like terms 18x-18x)

There is no solution. Hope this helps and makes sense.


5 0
2 years ago
Read 2 more answers
There were 3995 more hits on the school's website in January than February. February had 9854 hits. How many hits did the school
ozzi
In both months they had 23,703 and in January they had 13,849
5 0
3 years ago
PLEASE LOOK AT PHOTO! WHOEVER ANSWERS CORRECTLY I WILL MARK BRAINIEST!!
Deffense [45]

Answer:23

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
PLSS HELP I NEED IT RN
Kisachek [45]

Answer:

x >= -3

x is greater than or equal to -3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Can u help with 1-2 plz what's the answer!?
    12·2 answers
  • Need help please....
    11·2 answers
  • What is it like to live under a carpet
    9·2 answers
  • A firm wishes to maintain an internal growth rate of 7.1 percent and a dividend payout ratio of 25 percent. The current profit m
    9·1 answer
  • For this problem, assume Gwen and Harry have 5 types of cones and 9 flavors of ice cream.
    8·1 answer
  • B(a + b) - a (a -b )
    8·2 answers
  • 2. Use (&lt;, &gt;, =) to compare 23 and 34.
    14·2 answers
  • Describe how the graph is related to the graph of y = lxl.
    15·1 answer
  • Please help me with complement or supplement of an angles.
    11·1 answer
  • Please help ASAP!! 31 points and brainliest!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!