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ki77a [65]
3 years ago
10

Identify the expression for calculating the mean of a binomial distribution

Mathematics
1 answer:
TEA [102]3 years ago
8 0

Option C: np is the expression used for calculating the mean of a binomial distribution.

Explanation:

From the options, we need to determine the expression that is used for calculating the mean of a binomial distribution.

<u>Option A: npq</u>

The variance of the binomial distribution can be calculated using the expression npq.

Hence, Option A is not the correct answer.

<u>Option B: </u>\sqrt{npq}<u></u>

The standard deviation of the binomial distribution can be calculated using the expression \sqrt{npq}

Hence, Option B is not the correct answer.

<u>Option C: np</u>

The mean of the binomial distribution can be calculated using the expression np

Hence, Option C is the correct answer.

<u>Option D</u>: \sum\left[x^{2} \cdot P(x)\right]-\mu^{2}

The mean of the binomial distribution cannot be determined using the expression \sum\left[x^{2} \cdot P(x)\right]-\mu^{2}

Hence, Option D is not the correct answer.

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Question 5 Multiple Choice Worth 1 points) (04.05 MC) Determine if the ordered pair (-1 , -5) is a solution to the inequality y≤
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Answer:

(-1, -5) satisfies the inequality and will be the solution to the inequality.

From the attached figure, it is clear that  (-1, -5) is below the line.

Therefore, the correct option is:

''Yes, because 1-1, 5) is on the line​''.

Step-by-step explanation:

Given the inequality

y\le -\frac{3}{4}x-1

substituting (-1, -5)  to check whether it satisfies the inequality or not

-5\le \:-\frac{3}{4}\left(-1\right)-1

-5\:\le \:\frac{3}{4}-1

-5\:\le -\frac{1}{4}

TRUE

Thus, (-1, -5) satisfies the inequality and will be the solution to the inequality.

From the attached figure, it is clear that  (-1, -5) is below the line.

Therefore, the correct option is:

''Yes, because 1-1, 5) is on the line​''.

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3 years ago
Find the distance between (-4,6) and (3,-7)
Natali5045456 [20]

Answer:

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Step-by-step explanation:

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Assume a standard deck of 52 cards is being used. Find the possible way 2 black cards can be chose
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Express the function f(x) =3x^2-6x-18 in the form a(x + h)^2=k, where a, h and k are constants.Hence state the :
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Answer:

The minimum value of f(x) is -21 and it occurs at x = 1

Step-by-step explanation:

f(x) =3x^2-6x-18

Factor out the greatest common factor out of the first two terms

f(x) =3(x^2-2x)-18

Complete the square

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Add 1  (But remember the 3 out front so we are really adding 3  so we need to subtract 3 to remain balanced)

f(x) = 3(x^2 -2x+1) -3 -18

f(x) = 3(x-1)^2 -21

This is vertex form

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The vertex is (1,-21)  

Since a > 0 this opens upward and the vertex is a minimum

The minimum value of f(x) is -21 and it occurs at x = 1

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