There are 48 students in an elementary statistics class. On the basis of years of experience, the instructor knows that the timeneeded to grade a randomly chosen first examination paper is a random variable with an expected value of 5 min and a standarddeviation of 4 min. (Round your answers to four decimal places.)n USE SALT(a) If grading times are independent and the instructor begins grading at 6:50 P.M. and grades continuously, what is the(approximate) probability that he is through grading before the 11:00 P.M. TV news begins?(b) If the sports report begins at 11:10, what is the probability that he misses part of the report if he waits until grading isdone before turning on the TV?You may need to use the appropriate table in the Appendix of Tables to answer this question.Need Help?Watch ItRead It

Given. There are 48 students in an elementary statistics class. On the basis of years of experience,…

Answered: ded to grade a randomly chosen first…

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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The time taken by brake discs to overheat on construction equipment is normally distributed with µ=4.5 and ơ=0.45 What is the probability that the time to overheat is less than 3.8 minutes?
After 8:00pm on any Thursday, the amount of time a person spends waiting in line to get into a well-known pub is a random variable represented by X. Suppose we can model the behavior of X with the Exponential probability distribution with a mean of waiting time of 37 minutes. (a) Provide the value of the standard deviation of this distribution. Enter your answer to two decimals. ox= minutes (b) Suppose you are in line to get into the pub. Compute the probability that you will have to wait between 28 and 38 minutes to get in. Answer with four decimals. P(28 < X <38) = (c) It has been 30 minutes since you entered the lineup to get into the pub, and you are still waiting. What is the chance that you will have waited at most 56 minutes, in total? Use four decimals in your answer. P(wait in total at most 56 minutes) = (d) 40% of the time, you will wait at most how many minutes to get into this pub? Enter your answer to two- decimals. minutes
Assume that the probability of a being born with Genetic Condition B is π=π=14/15. A study looks at a random sample of 173 volunteers.Find the most likely number of the 173 volunteers to have Genetic Condition B. (Round answer to one decimal place.) μ = Let XX represent the number of volunteers (out of 173) who have Genetic Condition B. Find the standard deviation for the probability distribution of XX. (Round answer to two decimal places.) σ = Use the range rule of thumb to find the minimum usual value μ-2σ and the maximum usual value μ+2σ.Enter answer as an interval using square-brackets only with whole numbers. ? Round your answer to one decimal place.usual values =
A bone mineral density test is used to identify a bone disease. The result of a bone density test is commonly measured as a z-score. If the mean bone density test score is found for 9 randomly selected subjects, find the probability that the mean is greater than 0.50. (Round your answer to four decimal points and write in 0.XXXX format.)
The following table shows the results of a medical test. Positive Test Result Negative Test Result 95.3 4.6 Total 82.6 % 4.6 Has Disease X % 491 24 % 515 Does Not Have Disease 45 Use the preceding data to estimate each of the following. (Express each response as a percentage rounded to one decimal place.) a. If a person has the disease, what is the probability that person tests positive? This is the sensitivity or true positive rate of a test. 214 259 Total b. If a person has the disease, what is the probability that person tests negative? This is sometimes called the false negative rate. 536 238 774 c. If a person does not have the disease, what is the probability that person tests negative? This is the specificity or true negative rate of a test. d. If a person does not have the disease, what is the probability that person tests positive? This is sometimes called the false positive rate. X %
The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful life (150,000150,000 miles of driving) of cars of a particular model varies Normally with mean 8080 mg/mi and standard deviation 66 mg/mi. A company has 1616 cars of this model in its fleet. Using Table A, find the level ?L such that the probability that the average NOX + NMOG level ?¯x¯ for the fleet greater than ?L is only 0.030.03 ? (Enter your answer rounded to three decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.)
Samuel F.B. Morse (1791 – 1872), the creator of Morse Code, claimed that 12% of all letters used in the English language were “e”s. Suppose random samples of 196 letters are selected from a book What is the probability that a random sample of 196 letters will contain at least 10% "e"s? Type your calculated z-score here. Express its value to the nearest hundredth (two decimal places). Type your probability here. Express its value to four decimal places. Do not round.
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Let us suppose that a particular lecturer manages, with probability 1, to develop exams that have mean 60 and standard deviation 13. The lecturer is teaching two classes, one of size 100 and the other one of size 36, and is about to give an exam to both classes. We treat all students as being independent. Give your answers below in three decimal places. (a) The approximate probability that the average test score in the class of size 100 exceeds 65 is (a), where is the cumulative distribution function of a standard normal random variable. Find the value of a.
What is the probability of b and c
The bottom panel of figure 1 (p. 311) shows the probability histogram for the total number of spots when a pair of dice are rolled. (a) The chance that the total number of spots will be between 7 and 10 (inclusive) equals the area under the histogram between ___and ___ (b) The chance that the total number of spots will be 7 equals the area under the histogram between ___ and ____
Fawns between 1 and 5 months old in Mesa Verde National Park have a body weight that is approximately normally distributed 25.36 kg and standard deviation q = 4.72 kg. Let x be the weight of a fawn in kg. What is the probability that for a fawn chosen at random: with mean u - (a) x is less than 28.88 kg? (b) x is greater than 17.34 kg? (c) x lies between 29.04 and 33.6 kg? -

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