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
Zanzabum
3 years ago
9

Suppose that the distribution of IQ's of North Catalina State University's students can be approximated by a normal model with m

ean 130 and standard deviation 8 points. Also suppose that the distribution of IQ's of Chapel Mountain University's students can be approximated by a normal model with mean 120 and standard deviation 10 points. Question 1. You select a student at random from each school. Determine the probability that the North Catalina State University student's IQ is at least 5 points higher than the Chapel Mountain University student's IQ.
Mathematics
1 answer:
konstantin123 [22]3 years ago
6 0

Answer:

The required probability is 0.6517

Step-by-step explanation:

Consider the provided information.

North Catalina State University's students can be approximated by a normal model with mean 130 and standard deviation 8 points.

μ₁ = 130 and σ₁ = 8

Chapel Mountain University's students can be approximated by a normal model with mean 120 and standard deviation 10 points.

μ₂ = 120 and σ₂ = 10

As both schools have IQ scores which is normally distributed, distribution of this difference will also be normal with a mean of μ₁-μ₂ and standard deviation will be \sqrt{\sigma_1^2+\sigma_2^2}

Therefore,

μ = 130-120=10

\sigma = \sqrt{8^2+10^2}=12.806

Now determine the probability of North Catalina State University student's IQ is at least 5 points higher than the Chapel Mountain University student's IQ:

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

z=\frac{5-10}{12.806}\approx-0.39

Now by using the z table we find the z- score of -0.39 is 0.6517.

Hence, the required probability is 0.6517

You might be interested in
The double box plot shows the test scores for Miss Robinson's second and fourth period
Gennadij [26K]
We can’t see the box plot?
4 0
2 years ago
3 times 3 times 3 equals using and exponents
kati45 [8]
a \times a \times a = a^3\\\\\boxed{3\times 3\times 3 = 3^3}
8 0
3 years ago
Read 2 more answers
Which is one way to check 102÷6 = 17? A) 105÷10 = 10 .5 B) 17÷6 = 102 C) 100÷5 = 20 D) 100×5 = 500
Karolina [17]
Was there a typo in the possible answers by any chance? B is closest to the possible answer, but only if the division sign was a multiplication sign.
102 <span>÷ 6 = 17
102 </span><span>÷ 17 = 6
17 x 6 = 102
6 x 17 = 102</span>
8 0
3 years ago
What is the quotient to four dived by fifty
allsm [11]
0.08 if 4 divided by 50
12.5 if 50 divided by 4
8 0
3 years ago
Read 2 more answers
What is 35223 divided by 5
Kazeer [188]

Answer: 7,044.6

Step-by-step explanation:

35223/5 = 7,044.6

7 0
3 years ago
Read 2 more answers
Other questions:
  • What is addition of 2/3 + 1/4​
    7·1 answer
  • The diameter of a circle is 9 feet. Find the radius.
    11·1 answer
  • Solve the equation if x and y are whole numbers? 4xy + 8 = 36
    7·1 answer
  • Prove the Converse of the Pythagorean Theorem using similar triangles. The Converse of the Pythagorean Theorem states that when
    8·1 answer
  • The 7th grade had a book drive. They donated 2/3 of the books to the st James school. Then donated 1/4 of the remaining books to
    5·2 answers
  • What is five less than a number is greater than twenty​
    14·2 answers
  • Find the x intercept and y intercept of y= 3/7x-2
    10·1 answer
  • Help plz also show your work and the awnser
    8·1 answer
  • What do variables and function have in common
    6·1 answer
  • Question
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!