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probability that they average: less than 17 hours per week on homework less than 14 hours per week on homework more than 1.5 standard deviations above the mean

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...

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One of the consequences of the rise of music streaming services is that song lengths 1. have decreased in the last few years. Suppose the length in seconds, X, of a randomly chosen Billboard Hot 100 song can be modeled with a Normal distribution with mean of 210 seconds and standard deviation of 70 seconds. ) According to the model, the longest 15% of songs are at least how many seconds long? а. b. What is the probability that a randomly chosen song from the Hot 100 list lasts longer than 4 mınutes? ) Suppose you randomly choose 4 songs from the Hot 100 list. What is the probability that the C. average song length is between 2 and 3 minutes? ,What are the mean and standard deviation of the total length of four randomly chosen Hot 100 songs? Hint: Define a random variable for each of the four songs. d. j In order to calculate the standard deviation in the previous part of the problem, you must make an assumption about the lengths of the four songs. What is that assumption, and what in…
A recent study was conducted and it found that IQ's are normally distributed with a mean of a 100 and a standard deviation of 15 1. What is the probability that a randomly selected individual would have an IQ less than 115. 2. What is the probability that a randomly selected individual would have an IQ of more than 112 3. What is the probability that a randomly selected individual would have an IQ of at least 111.
A study was perform to estimate the difference in blood pressure between men and women in UK clinical. Mean and standard deviation for 16 men is 77.37 and 8.35.For 13 women are 71.08 and 9.22.Assume the reading is normally distributed, calculate the sampling distribution of the different between blood pressure readings for men and women, the probability that the different between blood pressure readings for men is greater than women and the probability that the different between blood pressure readings for men is five less than women.
Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 46 minutes and standard deviation 20 minutes. A researcher observed 13 students who entered the library to study. Round all answers to 4 decimal places where possible. Find the probability that the randomly selected 13 students will have a total study time less than 650 minutes. The top 10% of the total study time for groups of 13 students will be given a sticker that says "Great dedication". What is the least total time that a group can study and still receive a sticker? minutes
In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 55.1 inches, and standard deviation of 7.6 inches.What is the probability that the height of a randomly chosen child is between 54.8 and 62.8 inches? Do not round until you get your your final answer, and then round to 3 decimal places.Answer= (Round your answer to 3 decimal places.)
According to Facebook, daily time spent on Facebook of average user is normally distributed with the mean of 25 minutes and the standard deviation of 8 minutes. Suppose you took a sample of 25 users. What is the probability that the average of the sample will be between 21 and 23 minutes?
The distribution of the amount of money undergrads spend on books for a term is slightly right skewed with a mean of $400 & a standard deviation of $80. A) what is the probability that mean amount of money of 100 undergrads spent on books is less than $400? B) what is the probability that mean amount of money of 100 undergrads spent on books is between 400 and 500 dollars. Please show work..I am trying to learn how to do this. I asked for extra questions, not getting graded. Thank you
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Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 49 minutes and standard deviation 22 minutes. A researcher observed 44 students who entered the library to study. Round all answers to 4 decimal places where possible. Find the probability that the randomly selected 44 students will have a total study time more than 1936 minutes. The top 20% of the total study time for groups of 44 students will be given a sticker that says "Great dedication". What is the least total time that a group can study and still receive a sticker? minutes What is the distribution of ∑x∑x? ∑x∑x ~ N(
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The average time in years to get an undergraduate degree in Mechanical engineer was compared for men and women. From past experience, we know that the mean time for a female to finish her undergraduate degree is 3 years with a standard deviation of 0.5 year and the mean time for a male to finish his undergraduate degree is 3.5 years with a standard deviation of 1 year. Random samples of 40 male Mechanical engineer majors and 40 female Mechanical engineer majors were taken, the probability that the mean time for the selected males is greater than the mean time for females to finish an undergraduate degree is: O 0.0024 O0.0033
The life of a certain type of electronic component isnormally distributed with mean=220 hours deviation of 25 hours. Do you agree that the probability that the mean life of sample of 20 components will be greater than 225 hours will be higher than probability that themean life of a sample of 40 components will be greater than to 225 hours? Show by calculations.