1. If the blood pressure for aof peoplehasgroupaverage of 90 and standarddeviation 9, if we select 36individual of that group,what is the probability thattheir blood pressure islarger than 86.2. If weekly accidents atcertain crossing followsPoisson distribution withparameter 1 = 4, if westudy 46 weeks what isprobability that on theaverage more than 4.2accidents occurs.a3. If the lifetime for a type oflamps followsdistribution with densityfunction, wherelifetime in years. A sampleof 100 units is selectedrandomly whatis theisprobability that its life timeless than 7.5 month.

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Answered: 1. If the blood pressure for a people…

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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Suppose the average amount of money that people spend on their pets per month is 47 dollars, with a standard deviation of 6 dollars. For a sample of 36 people, final the average amount of money spent on pets that defines the bottom 30% in the distribution.For a sample of 36 people, what is the probability for this sample’s mean to be higher than 50 dollars.
What is the probability of randomly selecting 90 observations from a population whose mean is 100 and whose standard deviation is 15.7 and finding that the mean is between 102 and 105.
Suppose scores on a mathematics test have a mean 60 and standard deviation 20 while scores on an English test have a mean 60 and standard deviation 10. Bob gets 80 on both tests. a) On which test did Bob do better relative to his classmates? Explain. b) The scores on the tests each approximately follow a normal distribution and there are 50 students in each class How many students did better than Bob in each case? Page 8 of 11
2. The number of pages in a PDF document you create has is randomly distributed between 5 and 9 pages, where all values are equally likely. What are the mean and standard deviation of the number of pages in the document2
Suppose the heights of students in a class follows normal distribution. The mean is 66 inches and the standard deviation is 5 What is the probability that a randomly selected student height is above 69 inches? What is the probability that the height will fall in between 45-54 inches? Which of the following intermediate step is involved in finding probability that a randomly selected student height is more than 70 inches?
7. Furnace repair bills are normally distributed with a mean of 267 dollars and a standard deviation of 20 dollars. If 74 of these repair bills are randomly selected, find the probability that they have a mean cost between 267 dollars and 269 dollars.
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?
What is the probability that 46 cars chosen at random will have a mean load weight x of less than 85.5 tons of coal if the mean is 86 and standard deviation 1.4
Suppose height of men in the US is normally distributed with mean 70 inches and standard deviation 3 inches (this is like problems from homework 7 a) Find the probability that a randomly selected male has blood is taller than 6’2”. b) Find an interval that contains the middle 95% of men’s height. c) Find the probability that the sample mean height of 10 randomly selected men exceeds 6’2” feet.
If the mean and standard deviation of cell sap values for healthy plants are 120 and 15 micrograms per 100 ml, respectively, what is the probability that a random sample of 50 normal plants will yield a mean between 115 and 125 micrograms per 100 ml?
Suppose our random variable is the braking distance of a certain car in feet on a dry surface when going 55mph. The mean braking distance is 148 feet and the standard deviation is 2.64 feet. We randomly sample 33 braking distances from this population, what is the probability that the mean braking distance for the sample is between 147.6 feet and 150 feet?
Suppose IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What is the probability a random sample of 250 people has a mean IQ of more than 102?

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1. If the blood pressure for a people has group of average of 90 and standard deviation 9, if we select 36 individual of that group, what is the probability that their blood pressure is larger than 86.