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3 years ago

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Mathematics

1 answer:

Eduardwww [97]3 years ago

8 0

2 number are x and y
X=10,y=65

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You are to take a multiple-choice exam consisting of 64 questions with 5 possible responses to each question. Suppose that you h

damaskus [11]

Answer:

a) Expected score on the exam is 12.8.

b) Variance 10.24, Standard deviation 3.2

Step-by-step explanation:

For each question, there are only two possible outcomes. Either you guesses the answer correctly, or you does not. The probability of guessing the answer of a question correctly is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$

The variance of the binomial distribution is:

$V(X) = np(1-p)$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

64 questions.

So $n = 64$

5 possible answers, one correctly, chosen at random:

So $p = \frac{1}{5} = 0.2$

(a) What is your expected score on the exam?

$E(X) = np = 64*0.2 = 12.8$

(b) Compute the variance and standard deviation of x. Variance =Standard deviation

$V(X) = np(1-p) = 64*0.2*0.8 = 10.24$

Variance 10.24

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{64*0.2*0.8} = 3.2$

Standard deviation 3.2

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3 years ago

Rania is playing with her friend Arun, and they are setting up dominoes across the room. Each domino is 2 inches long. They have

gogolik [260]

Answer:

Step-by-step explanation:

It should be less then or equal too, seeing as they want to reach all the way across the room.

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2 years ago

Find the volume of the figure. Round your final answer to the

alukav5142 [94]

Answer:

377.62 m³

Step-by-step explanation:

V = 16 × 3.95 × 8 - 8 × 3.95 × (8 - 3.95)

V = 377.62

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2 years ago

What is cross products

Reil [10]

Is a binary operation on two vectors in three-dimensional space, and is denoted by the symbol. Given two linearly independent vectors a and b, the cross product, a × b, is a vector that is perpendicular to both a and b, and thus normal to the plane containing them.

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3 years ago

What numbers to put in the table

alexandr1967 [171]

The missing numbers for distance are 9 and 20

The missing numbers for time are 12 and 48

(im going left to right)

4 0

3 years ago

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