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1 answer:

alisha [4.7K]3 years ago

8 0

Answer:a) 37.53

Step-by-step explanation:

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

konstantin123 [22]

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

6 0

2 years ago

Exit A five-sided solid has the numbers 1, 2, 3, 4, and 5. What is the probability of rolling two five-sided number solids and g

STALIN [3.7K]

To get a sum of 3, you must roll a 1 and a 2. To get a sum of 8, you must roll a 5 and 3, or two 4's.
There are two ways of rolling a 1 and a 2, two ways of rolling a 5 and a 3, and one way to roll two 4's.
There are $5^2=25$ possible outcomes when rolling two such solids.

So the probability of getting a sum of 3 or 8 is $\dfrac{2+2+1}{25}=\dfrac15$

7 0

3 years ago

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adelina 88 [10]

Answer:

ssxq

Step-by-step explanation:

8 0

2 years ago

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On a piece of paper, use a protractor to construct a triangle with angle measures of 30° and 50º.

sweet [91]