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
Scilla [17]
3 years ago
6

An instructor believes the distribution of scores on her final exam will have mean 62 and standard deviation 7. Fred is a studen

t in the course that was selected at random. Provide answers to the following to two decimal places. (a) Find an upper bound on the probability that Fred will not score between 47 and 77. (b) Provide a lower bound on the probability that Fred will score between 45 and 79.
Mathematics
1 answer:
OLga [1]3 years ago
7 0

Answer:

a) P(47

And then the probability that Fred will not score between 47 and 77 is

1-0.968 = 0.0321

b) P(45

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Part a

Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:

X \sim N(62,7)  

Where \mu=62 and \sigma=7

We are interested on this probability  on the probability that Fred will not score between 47 and 77. So we can begin finding this probability

P(47

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(47

And we can find this probability on this way:

P(-2.143

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.  

P(-2.143

And then the probability that Fred will not score between 47 and 77 is

1-0.968 = 0.0321

Part b

P(45

And we can find this probability on this way:

P(-2.429

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.  

P(-2.429

You might be interested in
Put these in order, using brackets and set notation.<br> 3/5, 3/2, 3/7, 3/10, 1/3
jenyasd209 [6]
[3/2][1/3][3/5][3/7][3/10]
4 0
2 years ago
Helpp me answer this question and explain
Ganezh [65]
The answer is A, you can tell because if you multiply 4 by the numbers inside the parentheses you’ll get =12+24..hope that helped :)
4 0
3 years ago
Show your work please help me with my homework thank you
AVprozaik [17]
Part. %
------ = -------
Whole 100

816. X
------- = ------
850. 100

850x=81600
-------- ---------
850. 850

X=96

96% of seats were sold
3 0
3 years ago
Bla nnn,,,,,,bs jfbjnf msnjkmfe sjnmf cmmnefnmv fcve
EleoNora [17]

Answer:

Ummmmm ehhhhhh

8 0
2 years ago
Read 2 more answers
Someone help me out with this need a quick respond
ser-zykov [4K]
To get the perimeter of a circle you need to use the formula 2xpix r
so 2x 3.1416 x 2= 12.56
so the third one counting from left to right
8 0
3 years ago
Other questions:
  • What value is a discontinuity of x squared plus 5 x plus 2, all over x squared plus 2 x minus 35?
    7·2 answers
  • Could somebody please help me with this?
    11·2 answers
  • 16.) A. B. C. Algebra 2 chapter 7
    5·1 answer
  • Urgent plz no one helps me!!!!!!!!!!!!
    8·1 answer
  • A science fair poster is a rectangle 3 feet long and 2 feet wide. What is the area of the poster in square inches?
    11·1 answer
  • Identify and EXPLAIN the ERROR
    6·1 answer
  • Hundredths<br> 6.1=_____hundreds
    8·1 answer
  • Somebody help me ASAP now
    14·2 answers
  • Kate already owns 22 necklaces, and additional necklaces are priced at 2 for a dollar. With
    14·1 answer
  • What is the positive solution for the equation: x2−8x=9
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!