Assume that the amount of time, in hours, that college students spend per week on homework is normally distributed with a mean of 15 hours and a standard deviation of 3 hours. If 75 students are selected at random, what is the probability that they average: more than 14 hours per week on homework between 14 and 16 hours per week on homework less than 15.5 hours of homework per week Answer in complete sentences. Be sure to include all relevant calculations.

Assume that the amount of time, in hours, that college students spend per week on homework is normally distributed with a mean of 15 hours and a standard deviation of 3 hours. If 75 students are selected at random, what is the probability that they average: more than 14 hours per week on homework between 14 and 16 hours per week on homework less than 15.5 hours of homework per week Answer in complete sentences. Be sure to include all relevant calculations.

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

Yoonie is a personnel manager in a large corporation. Each month she must review 10 of the employees. From past experience, she has found that the reviews take her approximately 4 hours each to do with a population standard deviation of 1.1 hours. Let X be the random variable representing the time it takes her to complete one review. Assume X is normally distributed. Let X¯¯¯ be the random variable representing the mean time to complete the 10 reviews. Assume that the 10 reviews represent a random set of reviews. (a) What is the mean, standard deviation, and sample size? Mean = Standard Deviation = Sample Size = (b) Complete the distributions. Round all decimals to four decimal places. X∼ ( Number, Number) X¯¯¯∼ ( Number, Number)
The average time Filipinos spent in streaming site is 15 hours per week. Suppose a sample of 65 Filipinos is taken to analyze their viewing habits. Assume the population standard deviation for viewing time is ?=3hours.*Use the proper notation in expressing the probability.a.What is the probability the sample mean will be within 1 hour of the population mean? b.What is the probability the sample mean will be within 30 minutes of the population mean?
Assume that the square footage of a residential house in the US is normally distributed with a mean=1000 and standard deviation=150 square feet. If we select a random house what is the probability that it will be at most 1050 square feet?
The 3-point shooter star of your favourite team usually attempts twelve 3-point shots in a basketball game. The team record shows that the shooter makes 45% of all 3-point shots attempted in a game. Assuming that the shots are independent of each other,what is probability that the star will make shots at least 2 standard deviation more than the expected?
In 1995, the median price of a PC was $1200. Suppose that a random sample of100 persons who bought their PCs during that year recorded the amount spent (byeach of them) on his/her PC. State the approximate sampling distribution of ˆp, theproportion of persons who spent more than $1200 on a PC. Find the probabilitythat more than 60% of this group spent more than $1200. NOTE: Please explain each part, so the problem can be used as a Study Guide
The lengths of pregnancies are normally distributed with a mean of 266 days and a standard deviation of 20 days. If 64 women are randomly selected find the probability that they have a mean pregnancy between 266 days and 268 days
1. Lori just bought a set of 4 tires for her car. The life of a tire is normally distributed with a mean of 45000 miles and a standard deviation of 2000 miles. Find the probability that all 4 tires will last for at least 46000 miles. Assume independence of tires between one another.
A particular fruit's weights are normally distributed, with a mean of 455 grams and a standard deviation of 31 grams. If you pick 19 fruit at random, what is the probability that their mean weight will be between 434 grams and 443 grams? Use GeoGebra. Round to 4 places.
Malaysian families recorded an average of 17.2 kg of glass garbage each year with the standard deviation of the distribution is 2.5 kg. Using a central limit theorem, compute a probability that the mean of a sample of 55 families will be between 17 kg and 18 kg.
The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?
The average number of shoppers at a particular grocery store in one day is 505, and the standard deviation is 115. The number of shoppers is normally distributed. For a random day, what is the probability that there are between 200 and 400 shoppers at the grocery store? The answer should be typed as a decimal with 4 decimal places.
A farmer was interested in determining how many grasshoppers were in his field. He knows that the distribution of grasshoppers may not be normally distributed in his field due to growing conditions. As he drives his tractor down each row he counts how many grasshoppers he sees flying away. After several rows he figures the mean number of flights to be 57 with a standard deviation of 12. What is the probability of the farmer will count 60 or more flights on average in the next 40 rows down which he drives his tractor? Round to four decimal places. OA. 0.4429 OB. 0.0569 OC. 0.9429 OD. 0.5710