5. Given that the distribution of salaries of salesman is not normally distributed. Howeverfrom past experience, the salaries of salesman showed a mean RM 4000 and standarddeviation of RM900. Find the probability that the mean of the salaries of 40 randomlyselected salesman willa) Exceed RM 4500b) In between RM 3800 and RM 4300c) Not more than RM 3700

Answered: Image /qna-images/answer/1e1f3a03-aaf0-4e57-a055-fe4a89b34e19.jpg

Answered: . Given that the distribution of…

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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A physician sees many different kinds of patients, and thus the time spent with each patient varies. Let X be the time spent with a patient in minutes. From historical data, X is known to be uniformly distributed between 15 and 40 minutes. a) What is the standard deviation of the time spent with a patient? b) What is the likelihood that the physician will spend less than 35 minutes with a patient? c) A patient has an appointment to see the physician at 8AM on a particular day. When should the second patient be scheduled so that there is only a 15% chance s/he will have to wait before before being seen by the physician? [e.g. if the appointment for the second patient is 8:15AM, there is a 100% chance the second patient will have to wait]
According to Experian , the average credit score of and American adult is 719 and the standard deviation of all credit scores of American adults is 69. Determine the following probabilities. Round solutions to four decimal places , if necessary . Determine the probability that a randomly selected American adult has a credit score less than or equal to 699 P(x <= 699) = Determine the probability that a randomly selected American adult has a credit score between 706 and 907 . P(706 < x < 907) =
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?
8) Scores on an exam have a normal distribution with a mean of 125 and a standard deviation of 19. Be sure to draw the normal distribution and shade the are being found. a) Find the probability that a person would score above 129 b) Find the probability that a person would score between 123 and 151. c) Find the probability that a group of 7 people would have a mean score above 130. d) Find the score needed to be in the top 10% of the class.
Let x be a random variable that represents the weight of a lion in a certain region of Africa. Assume that x is normally distributed with a mean = 260 lbs . With standard deviation =30 lb Please include the graphs for questions A and B
The percent of fat calories that a person in America consumes each day is normally distributed with a mean of 36 and a standard deviation of 10. Suppose that one individual is chosen at random. Find the following (round to 4 decimal places) a) Find the probability that the percent of fat calories a person consumes is more than 40. b) Find the probability that the percent of fat calories a person consumes is less than 35. c) Find the maximum number for the lower quartile of percent of fat calories. d) The middle 70% of the percent of fat calories are from 4 to
The average amount of money spent for lunch per person in the college cafeteria is $7.11 and the standard deviation is $2.1. Suppose that 42 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible.What is the distribution of XX? XX~ N(,) What is the distribution of ¯xx¯? ¯xx¯~ N(,) For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $7.294 and $7.636. For the group of 42 patrons, find the probability that the average lunch cost is between $7.294 and $7.636. For part d), is the assumption that the distribution is normal necessary? Yes or No
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.
Suppose the mean grade for a statistic midterm was 75 with Standard Deviation of 10. Assume that the grades are normally distributed. a) What percentage of students received a grade less than 70? b) If 2 students failed the exam i.e. their grades were less than 60, how many students took the test? ( Hint: Focus on x< 60 first)
2) Battery lifetime is normally distributed for large samples. The mean lifetime is 500 days and the standard deviation is 61 days. a) Find the distribution by filling in the blanks: X~N( b) Find the probability of batteries that have lifetimes longer than 561 days? Round to 4 decimals. c) Find the probability of batteries that have lifetimes at most 497 days? Round to 4 decimals.
The standard deviation of pulse rates of adult males is more than 10 bpm. For a random sample of 130 adult males, the pulse rates have a standard deviation of 10.7 bpm. Express the original claim in symbolic form.

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