The time needed for a random student to complete Quiz #3 in Mat 301 has approximately a normal distribution with mean = 197.1 minutes and a standard deviation of σ= 20.7 minutes. Suppose that the class has n=81students and every student takes the quiz. Let X be the random variable representing the mean time (in minutes) that the 81 students needed to complete the quiz. Let Xtot be the random variable representing the total timein minutes that the 81 students needed to complete the quiz.a) About what proportion of students in Mat 301 take between 195 and 205 minutes to complete the exam?b) About what proportion of students in Mat 301 take more than 230 minutes to complete the quiz?c) About how many of the 81 students took more than 230 minutes to complete the quiz? (nearest integer)d) About how many of the 81 students took between 195 and 205 minutes to complete the quiz?(nearest integer)?e) What is the standard deviation of the distribution of X (in minutes)?f) What is the standard deviation of the distribution of Xtot (in minutes)?g) What is the probability that 190 < X < 205?h) What is the probability that Xtot > 16300 minutes?f) Copy your R script for the above into the text box here.

“Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Answered: The time needed for a random student to…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Suppose that the speed at which cars go on the freeway is normally distributed with mean 68 mph and standard deviation 8 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible.If one car is randomly chosen, find the probability that it is traveling more than 65 mph. If one of the cars is randomly chosen, find the probability that it is traveling between 71 and 74 mph. 63% of all cars travel at least how fast on the freeway? mph.
The length of time it takes to find a parking space is normally distributed with a mean of eight minutes and a standard deviation of two minutes. Find the probability that it takes at most five minutes to find a parking space?
Assume that the amount of weight that male college students gain during their freshman year are normally distributed with a. Mean of u= 1.2 kg and a standard deviation of o= 5.1 kg A. If 1 male college student is randomly selected, Find the probability that he gains between 0 and 3 kg during freshman year B. If 25 male college students are randomly selected find the probability that their mean weight gain during freshman year is between 0 and 3 kg why can the normal distribution be used on pet b even though the sample size does not exceed 30?
The probability that a randomly chosen student in a statistics class submits his/her homework on time is 0.39. There is 46 student in the class. Each student does his/her homework independently. What is the standard deviation of X, where X is the number of students who submit the homework on time?
The random variable X has a uniform distribution with values between 15 and 25. What is the mean and standard deviation of X?
The amounts of time per workout an athlete uses a stairclimber are normally distributed, with a mean of 24minutes and a standard deviation of 5 minutes. Find the probability that a randomly selected athlete uses a stair climber for (a) less than 21 minutes, (b) between 24 and 32 minutes (c) more than 40 minutes.
Assume that heights of U.S. men between 45 and 50 years of age are normally distributed with mean 70 inches and a standard deviation of 0.75 inches. Suppose a random sample of 49 men is selected. Find the probability that the average height of these 49 men is less than 69.8 inches.
A normally distributed random variable has a mean of 449. If a score of 433 lies two standard deviations below the mean, find the variance of X.
Assume that women's weights are normally distributed with a mean given by μ=143 lb and a standard deviation given by 29 lb.(a) If 1 woman is randomly selected, find the probabity that her weight is between 113 lb and 172 lb(b) If 3 women are randomly selected, find the probability that they have a mean weight between 113 lb and 172 lb(c) If 73 women are randomly selected, find the probability that they have a mean weight between 113 lb and 172 lb
A dishwasher has a mean lifetime of 12 years with an estimated standard deviation of 1.25 years. The lifetime of a dishwasher is normally distributed. Suppose you are a manufacturer and you take a sample of 15 dishwashers that you made. Find probability that the sample mean lifetime of the 15 randomly selected dishwashers is less than 12.6 (4 decimals) find the probability that the sample mean lifetime of the 15 randomly selected dishwashers is less than 11.4 years thank u for the help
The length of the western rattlesnake is normally distributed with a mean of 42 inches and a standard deviation of 2.04 inches. Let X be the length of one of these snakes selected at random. Determine the probability that the snake is longer than 45 inches. Report your answer to four decimal places (like .1567).

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS