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A psychologist designed a new aptitude exam to measure logical and analytical thinking abilities. The time allowed for the exam is 60 minutes, and the exam is made up of 35 multiple choice questions. The psychologist expects that an examinee will spend an average of 1.66 minutes answering each question, with a standard deviation of 0.73 minutes. What proportion of examinees will complete the exam on time? Carry your intermediate computations to at least four decimal places. Report your result to at least three decimal places

Answers

Answer 1

Answer:

Answer:

52.79% of examinees will complete the exam on time.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = (X - \mu)/(\sigma)$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

There are 35 questions. The psychologist expects that an examinee will spend an average of 1.66 minutes answering each question, with a standard deviation of 0.73 minutes. This means that the mean and the standard deviation for the time to complete the test is $\mu = 35*1.66 = 58.1, \sigma = 35*0.73 = 25.55$ .

What proportion of examinees will complete the exam on time?

The time allowed for the exam is 60 minutes. So this proportion is the pvalue of Z when $X = 60$ . So:

$Z = (X - \mu)/(\sigma)$

$Z = (60 - 58.1)/(25.55)$

$Z = 0.07$

$Z = 0.07$ has a pvalue of 0.5279.

This means that 52.79% of examinees will complete the exam on time.

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Ralph and Melissa watch lots of videos. But they have noticed that they don't agree very often. In fact, Ralph only likes about 10% of the movies that Melissa likes, i.e., P(Ralph likes a movie|Melissa likes the movie) = .10 They both like about 37% of the movies that they watch. (That is, Ralph likes 37% of the movies he watches, and Melissa likes 37% of the movies she watches.) If they randomly select a movie from a video store, what is the probability that they both will like it? prob. =

Answers

Answer:

There is a 3.7% probability that they both will like it.

Step-by-step explanation:

We can solve this problem using the Bayes rule derivation from conditional probability.

Bayes rule:

What is the probability of B, given that A?

$P(A/B) = (P(A \cap B))/(P(A))$

In this problem, we have that:

$P(A/B)$ is the probability that Ralph likes the movie, given that Melissa likes. The problem states that this is 10%. So $P(A/B) = 0.1$

$P(A)$ is the probability that Melissa likes the movie. The problem states that $P(A) = 0.37$ .

If they randomly select a movie from a video store, what is the probability that they both will like it?

This is $P(A \cap B)$ .

$P(A/B) = (P(A \cap B))/(P(A))$

$P(A \cap B) = P(A)*P(A/B)$

$P(A \cap B) = 0.37*0.10 = 0.037$

There is a 3.7% probability that they both will like it.

If you make $30 every 10 seconds how much would you make in an hour?

Answers

Answer:

$10800

Step-by-step explanation:

Answer:

10800

Step-by-step explanation:

but this person is super rich

Find the derivation of y=sin (2x2 + 3x-4)<br />a. -cos (4x +3) b. -(6x2+3) cos (2x3+3x-4) c. Cos (2x3+3x-4)<br />d. (6x3+3) cos (2x3+3)<br />

Answers

Let y = f(x)

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Answers

A graph is the plot of a function or a proportion thus (1,18) represents the number of cookies made by using 1 cup of flour is 18.

What is a graph?

A graph is a diametrical representation of any function between the dependent and independent variables.

For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.

As per the given graph of the number of cookies and cups of flour.

The coordinate of a point is (x,y) and here x-axis is the cups of flour and the y-axis is the number of cookies.

Since x = 1 so cups of flour are 1.

Since y = 18 so the number of cookies is 18.

Hence "A graph is the plot of a function or a proportion thus (1,18) represents the number of cookies made by using 1 cup of flour is 18".

To learn more about graphs,

brainly.com/question/16608196

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1 cup of flour makes 18 cookies

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