fast please Questions 7-10 refer to the following:Suppose the time (minutes) an Instructor spends grading a Math 10 quiz is uniformly distributed in the interval (10, 35).7. Find the mean and standard deviation for the time in minutes the Instructor spends grading a math 10 quiz.Group of answer choices. mean 17.5, standard deviation 2.08. mean 22.5, standard deviation 2.08. mean 17.5, standard deviation 7.22. mean 22.5, standard deviation 7.22Find the probability that the Instructor spends more than 16 minutes grading a math 10 quiz.Group of answer choices0.76000.24000.45710.6250Find the probability that the Instructor spends between 12 and 20 minutes grading a math 10 quiz.Group of answer choices0.68000.48570.32000.5143How long it takes the instructor to grade 65% of the quizzes?Group of answer choicesless than 12.5 minutes26.25 minutes18.75 minutes12.5 minutes

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Answered: Suppose the time (minutes) an…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Questions 7-10 refer to the following:

Suppose the time (minutes) an Instructor spends grading a Math 10 quiz is uniformly distributed in the interval (10, 35).

7. Find the mean and standard deviation for the time in minutes the Instructor spends grading a math 10 quiz.

Group of answer choices

. mean 17.5, standard deviation 2.08

. mean 22.5, standard deviation 2.08

. mean 17.5, standard deviation 7.22

. mean 22.5, standard deviation 7.22

Find the probability that the Instructor spends more than 16 minutes grading a math 10 quiz.

Group of answer choices

0.7600

0.2400

0.4571

0.6250

Find the probability that the Instructor spends between 12 and 20 minutes grading a math 10 quiz.

Group of answer choices

0.6800

0.4857

0.3200

0.5143

How long it takes the instructor to grade 65% of the quizzes?

Group of answer choices

less than 12.5 minutes

26.25 minutes

18.75 minutes

12.5 minutes

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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