There are 40 students in an elementary statistics class. On the basisof years of experience, the instructor knows that the time needed to grade a randomly chosen firstexamination paper is a random variable with an expected value of 6 min and a standard deviationof 6 min.(a) If grading times are independent and the instructor begins grading at 6:50 P.M. and gradescontinuously, what is the (approximate) probability that he is through grading before the 11:00P.M. TV news begins?(b) If the sports report begins at 11:10 P.M., what is the probability that he misses part of thesport report if he waits until grading is done before turning on the TV?

Number of students is n=40. Consider a random variable associated to ith student Xi that denotes the…

Answered: There are 40 students in an elementary…

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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A department store manager has monitored the number of complaints received per week about poor service. The probabilities for numbers of complaints in a week, established by this review, are shown in the table. Number of complaints Probability 0 0.16 1 0.26 2 0.35 week? 3 0.10 4 0.08 5 0.05 What is the standard deviation of complaints received per Please round your answer to the nearest hundredth. Note that the correct answer will be evaluated based on the full-precision result you would obtain using Excel.
Suppose the manager agrees to pay each employee a $50 bonus if they meet a certain goal. On a typical Saturday, the oil change facility will perform 40 oil changes between 10 AM and 12PM. Treating this as a random sample, there would be a 10% chance of the mean oil change time being at or below what value.
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 49 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.1 pounds, what is the probability that the sample mean will be each of the following? Appendix A Statistical Tables a. More than 58 poundsb. More than 56 poundsc. Between 55 and 57 poundsd. Less than 54 poundse. Less than 48 pounds(Round the values of z to 2 decimal places. Round your answers to 4 decimal places.)a. enter the probability that the sample mean will be more than 58 poundsb. enter the probability that the sample mean will be more than 56 poundsc. enter the probability that the sample mean will be between 55 and 57 poundsd. enter the probability that the sample mean will be less than 54 poundse. enter the probability that the sample mean will be less than 48 pounds
The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an average (mean) of 1.75 pounds with a standard deviation of 1.02 pounds. In a recent study, a group of 60 people who used this pill were interviewed. The study revealed that these people lost a mean of 1.9 pounds after one week. If the producer's claim is correct, what is the probability that the mean weight loss after one week on this pill for a random sample of 60 individuals will be 1.9 pounds or less? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.
For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 515 and a standard deviation of 175. The grading process of this year's exam has just begun. The average score of the 40 exams graded so far is 518. What is the probability that a sample of 40 exams will have a mean score of 518 or more if the exam scores follow the same distribution as in the past? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places. Sub Continue
The following table shows the price per share of Apple stock at the beginning of different months. Calculate the four-month weighted moving average for October 2021. Round your answer to the nearest cent. Month July 2021 August 2021 September 2021 October 2021 November 2021 December 2021 Apple Stock Price Simple Moving Average Weighted Moving Average $136.60 $146.36 $152.83 $141.90 $148.99 $167.48 ???
Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?
A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 35.2 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 35.2 weeks and that the population standard deviation is 5.6 weeks. Suppose you would like to select a random sample of 29 unemployed individuals for a follow-up study. Find the probability that a single randomly selected value is between 33.1 and 33.8. P(33.1 < X < 33.8) = 0.0475 29 is Find the probability that a sample of size n randomly selected with a mean between 33.1 and 33.8. Р(3.1 < М < 33.8) - Enter your answers as numbers accurate to 4 decimal places.
Business weekly conducted a survey of graduates for 30 top MBA programs. On the basis of the survey assume the means annual salary 10 years after graduation is $162,000. Assume the standard deviation is $40,000. Suppose you take a simply random sample of 39 graduates. For a single randomly selected graduate, find the probability that her salary is between $156,692.00 and $161,395.00. For a simple random sample of 39 graduates, find the probability that the average salary is between $156,692.00 and $161,395.00. Is the assumption of normal necessary? Yes, or No.
Body temperature. Suppose the body temperature of healthy individuals is approximately normally distributed with a mean of 37.0°C and a standard deviation of 0.4°C. a. If 130 healthy individuals are randomly selected, what is the probability that the average temperature for these individuals is 36.80°C or lower? b. Would you consider an average temperature of 36.80°C as unlikely to occur if the true average temperature of healthy individuals is 37.0°C?
The median annual cost of auto insurance is $ 939 (According to DACO). Suppose the standard deviation is o = $ 241. What is the probability that in a simple random sample of auto insurance policies the sample mean differs more than $ 70.42 from the population mean if the sample size is 45? You must calculate the probability that the difference between the average cost in the sample and the average annual cost do not differ by $ 70.42. Find the probability that P (\ µ - š | 0) = P (-70.42 H-iS 70.42) Select one: a. The probability is 99% that the auto policy will not differ by $ 70.42 from the average annual cost. b. The probability is 50% that the auto policy will not differ by $ 70.42 from the average annual cost. c. The probability is 80% that the auto policy will not differ by $ 70.42 from the average annual cost. d. The probability is 70% that the auto policy will not differ by $ 70.42 from the average annual cost. e. The probability is 95% that the auto policy will not differ by $…
A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 35.2 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 35.2 weeks and that the population standard deviation is 5.6 weeks. Suppose you would like to select a random sample of 29 unemployed individuals for a follow-up study. Find the probability that a single randomly selected value is between 33.1 and 33.8. Р(3.1

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