The random variable x is said to have the yule simon distribution if

1 answer:

4 0

The Yule-Simon distribution is a discrete probability distribution. It is named after Udny Yule and Herbert A. Simon.

The Yule–Simon distribution was originally created by Yule as a limiting distribution model for a particular stochastic process, called the "Yule process" or the "preferential attachment process," in his study of the distribution of biological taxa and subtaxa.

The random variable X is said to have the Yule-Simon distribution if

P (X=k) = <u> 4 </u> where k = 1,2,...<u>
</u> k (k+1)(k+2)

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Renting a truck costs $55.00 per day and $0.38 per mile when the driver goes beyond the 40 free miles allotted. How much would S

solmaris [256]

Well we need to multiply 55 by 2 because of the 2 days of renting. 55 * 2 = 110. Now we need to subtract 40 from 94 to find how many miles Samantha drove over 40. So 94 - 40 = 54. Now we need to multiply 54 by 0.38 to get the cost Samantha has to pay. 54 * 0.38 = 20.52. Finally we need to add the cost of 2 days of renting to the cost of the additional miles. 110 + 20.52 = 130.52. The total that Samantha has to pay for the truck is $130.52
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2 years ago

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Explain how you could write a quadratic function in factored form that would have a vertex with an x-coordinate of 3 and two dis

dem82 [27]

Two distinct roots means two real solutions for x (the parabola needs to cross the x-axis twice)

Vertex form of a quadratic equation: (h,k) is vertex

y = a(x-h)^2 + k

The x of the vertex needs to equal 3

y = a(x-3)^2 + k

In order to have two distinct roots the parabola must be (+a) upward facing with vertex below the x-axis or (-a) downward facing with vertex above the x-axis. Parabolas are symmetrical so for an easy factorable equation make "a" 1 or -1 depending on if you want the upward/downward facing one.

y = (x-3)^2 - 1

Vertex (3,-1) upwards facing with two distinct roots 4 and 2

y = x^2 -6x + 9 - 1

y = x^2 -6x + 8

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Food allergies affect an estimated 7% of children under age 5 in the US. What is the probability that in a kindergarden class of

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Answer:

Probability of atleast one of 12 student has food allergies ≈ 0.58 ( approx)

Step-by-step explanation:

Given: Probability of a children under age 5 has food allergies = 7%

= $\frac{7}{100}$

To find : Probability of atleast one of 12 student has food allergies

Probability of a chindren under age 5 does not have food allergies = $1-\frac{7}{100}$

⇒ prob = $\frac{93}{100}$

now we find Probability of atleast one of 12 student has food allergies this means we have to find prob of 1 student, 2 student, 3 student, till 12 student have allergy out of 12 student of class then add all prob.

But instead of finding all these probability we find probability of student having no allergy.i.e., 0 student then subtract it from 1(total probability)

Probability of 0 student having allergy out of 12 student = $(\frac{93}{100})^{12}$