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
strojnjashka [21]
3 years ago
9

Professor Halen teaches a College Mathematics class. The scores on the midterm exam are normally distributed with a mean of 72.3

and a standard deviation of 8.9. What is the probability that a student scores between 82 and 90
Mathematics
1 answer:
lbvjy [14]3 years ago
3 0

Answer:

14.63% probability that a student scores between 82 and 90

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 = 72.3, \sigma = 8.9

What is the probability that a student scores between 82 and 90?

This is the pvalue of Z when X = 90 subtracted by the pvalue of Z when X = 82. So

X = 90

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

Z = \frac{90 - 73.9}{8.9}

Z = 1.81

Z = 1.81 has a pvalue of 0.9649

X = 82

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

Z = \frac{82 - 73.9}{8.9}

Z = 0.91

Z = 0.91 has a pvalue of 0.8186

0.9649 - 0.8186 = 0.1463

14.63% probability that a student scores between 82 and 90

You might be interested in
PLEASE HELP WILL MARK BRAINEIST
klemol [59]
12.195+9.13=21.325 is the answer
5 0
3 years ago
Read 2 more answers
Line AOB is a straight line.
alexandr1967 [171]

Answer:

It is not 1,2,3

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Jesse graph a point to represent the absolute value of a number line. If the original number is less than -10, describe all the
Anuta_ua [19.1K]
░░███████░░░░░░░░░░███▒▒▒▒▒▒▒▒███░░░░░░░ ░░█▒▒▒▒▒▒█░░░░░░░███▒▒▒▒▒▒▒▒▒▒▒▒▒███░░░░ ░░░█▒▒▒▒▒▒█░░░░██▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒██░░ ░░░░█▒▒▒▒▒█░░░██▒▒▒▒▒██▒▒▒▒▒▒██▒▒▒▒▒███░ ░░░░░█▒▒▒█░░░█▒▒▒▒▒▒████▒▒▒▒████▒▒▒▒▒▒██ ░░░█████████████▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒██ ░░░█▒▒▒▒▒▒▒▒▒▒▒▒█▒▒▒▒▒▒▒▒▒█▒▒▒▒▒▒▒▒▒▒▒██ ░██▒▒▒▒▒▒▒▒▒▒▒▒▒█▒▒▒██▒▒▒▒▒▒▒▒▒▒██▒▒▒▒██ ██▒▒▒███████████▒▒▒▒▒██▒▒▒▒▒▒▒▒██▒▒▒▒▒██ █▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█▒▒▒▒▒▒████████▒▒▒▒▒▒▒██ ██▒▒▒▒▒▒▒▒▒▒▒▒▒▒█▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒██░ ░█▒▒▒███████████▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒██░░░ ░██▒▒▒▒▒▒▒▒▒▒████▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█░░░░░ ░░████████████░░░█████████████████░░░░░░
4 0
3 years ago
I need some answers be quick pls. If you get it right I will give you brainliest
kipiarov [429]

Step-by-step explanation:

multiple the power and real number

7 0
3 years ago
Read 2 more answers
Can somebody tell me which one it is? options are (BE, CF, DG, GF)
mixas84 [53]

Answer:

CF

Step-by-step explanation:

Mark as brainliest please

7 0
3 years ago
Other questions:
  • An individual closes out help desk tickets at a rate of 4 tickets per hour for h hours. Write an equation that expresses the sit
    12·1 answer
  • Simplify the expression.<br> 4(b−6) +19
    5·1 answer
  • What's the equation?
    14·1 answer
  • Who can solve Multi-Step Literal Equations?: n/r=D/b
    13·1 answer
  • On the first day of the fiscal year, a company issues $65,000, 6%, five-year installment
    10·1 answer
  • What is an unsecured line of credit? A. A line of credit which does not require collateral. B. A line of credit with a variable
    8·1 answer
  • Can somebody help me please
    7·2 answers
  • Select all expressions that are equivalent to 2+y+y+y+y+y+3?
    11·1 answer
  • Determine the volume of this prism
    7·2 answers
  • Kiko and mato each took out a loan for $5,000 from the bank. kika has an interest rate of 5.2% and he plans to repay the loan in
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!