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 circumference of a circular field is 200.96 meters. What is the diameter of the field? Use 3.14.
artcher [175]

Answer:

1262.0288

Step-by-step explanation:

2×3.14×200.96

3 0
3 years ago
Please help asap!! Will give brainlist :)
bezimeni [28]
214.2 yd? I’m not 109% percent sure
7 0
3 years ago
Read 2 more answers
Determine if the two triangles are congruent. If they are, state how you know.
IRISSAK [1]

Answer:

AAS

Step-by-step explanation:

4 0
3 years ago
Dog food costs 9$ per bag and cat food costs 8$ per bag. if billy spent 89$ and purchased 6 bags of dog food, how many bags of c
REY [17]
6 bags of dog food × $9 = 54
$89 total - $54 spent on dog food = $35 spent on cat food

$35 / $8 = 4.375, but you can't have decimals for cat food bags so round down.

= 4 bags of cat food
3 0
3 years ago
Work out the area of this circle. Take pie to be 3.142 and give your answer to 2 decimal places.
yan [13]

Answer:

Work out the area of this circle. Take pie to be 3.142 and give your answer to 2 decimal places.

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Which of the following transformations does not yield congruent figures?
    8·2 answers
  • And then what is the answer in slope intercept form?
    12·1 answer
  • Brent's neighbor paid him for fixing her roof. Brent shares the money equally with his brother who helped him on the job. If Bre
    13·1 answer
  • What is the answer to 58Q+6Q*8Q
    11·1 answer
  • What was the resulting equation ?
    10·1 answer
  • Surface area of a rectangular prism with side lengths of 5, 9 and 2
    10·1 answer
  • Hello, how are you? I hope you are well. I wanted to ask you if you could help me answer these divisions? Please I would really
    13·1 answer
  • Solve the simultaneous equation:<br> 5 x + 2 y = 25 <br> 5 x − y = 10
    12·2 answers
  • Explain how double angles compare to parent trigonometric equations
    10·1 answer
  • Can the triangles below be proven similar?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!