Games won 15 games played 25 find Pct to nearest thousandth

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

5 0

3 years ago

How does using a bar diagram help you in predicting the solution to ratio and rate problems?

jeka94

Bar graph display directly the varibales which are the rate and ratio of the numbers to visualize and display the results, these contrasting the different outcomes. On the contrary, histogram is used in grouped frequency parameters. Moreover, as little as the given five parameters or data set this will be ineffective and will result to a bar graph only and basically, the suited option is the aforementioned vertical graph to display the numbers. To expound on the definition of histogram it is used when the frequency is grouped. For example the data set of 1-5, 6-10, 11-15 and 16-20 this now can be used and applied to illustrate histogram because of the number and quantity of the given data.

3 0

3 years ago

Please help with an explanation!

Artist 52 [7]

Answer:

6 weeks

Step-by-step explanation:

Easier way to solve: If she takes 7 quizzes each week, 7 times something (amount of weeks) equals 42.

7 X 6 = 42

Solving with algebra: We know that hanna takes six quizzes a week and takes a total of 42 quizzes, therefore the unknown (x) is the amount of weeks she takes the quizzes.

Amount of weeks X amount of tests per weeks = 42 quizzes

x X 7 = 42

42/7 = 6

3 0

2 years ago

Read 2 more answers

PLZZ HELP

WARRIOR [948]

Answer:

3a-14=4, is an equation, as equations are always equal to something and give an answer, as too an expression is required to be evaluated to receive an answer.

-I hope this is the answer you are looking for.

Step-by-step explanation:

3 0

2 years ago

A. Identify all pair of parallel in the diagram.

12345 [234]

Answer:

Parallel: G and F

perpendicular: G & H, F & H

Step-by-step explanation:

G and F are parallel because they will never cross, where as both are perpendicular to H because they intersect at 90°

4 0

4 years ago