6. It is known that the diameter of Douglas fir trees is normally distributed with = 50cm and a = 12cm.(a) What is the probability that a randomly selected Douglas fir tree has a diameter greater than73cm?(b) What proportion of Douglas fir trees have diameter between 40 and 55cm?(c) Find the diameter, d, such that 30% of Douglas fir trees have diameters that exceed d.

A continuous random variable X is said to follow Normal distribution with parameters μ and σ2 if its…

Answered: 6. It is known that the diameter 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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The average grade of Grade 11 students in Statistics and Probability is 85 with a standard deviation of 1.5 Solve for the probability of the following: a) The average grade is less than 88 b) The average grade is more than 88 c) The average is less than 82
-5. The weight of a certains species of fish is normally distributed with mean of 4.25 Kg and standard deviation of 1.2 a) What proportion of fish are between 3.5 kg and 4 kg b) What is the probability that a fish caught will have a weight of at least 5kg? 31
Suppose a large machine randomly prints words/minute for Book production. It is known that the printing machine follows a normal distribution with a mean of 132 words/minutes ounces and a standard deviation of 4 words/minute. Find the probability that the printing machine prints less than129 words/minute. a)0.3085 b)0.2266 c)0.4103 d)0.2874
25)Find the probability of the indicated result. Use the normal curve approximation to the binomial distribution. On a hospital floor, 60 patients have a disease with a mortality rate of 9.1. Five of them die a) 0.666 b) 0.163 c)0.170 d) 0.155
The length of life of an instrument produced by a machine has a normal distribution with a mean of 12 months and standard deviation of 2 months. Find the probability that an instrument produced by this machine will last a.) less than 8 months b.) between 8 and 12 months.
The thicknesses of glass sheets produced by a certain process are normally distributed with amean of μ =3.50 mm and a standard deviation of σ = 0.15 mm.a) What is the probability that a glass sheet is thicker than 3.75 mm?b) What is the probability that a glass sheet is thinner than 3.30 mm?c) What is the probability that a glass sheet is between 3.25mm and 3.75mm?d) What is the value of c for which there is a 99% probability that a glass sheet has athickness within the interval [3.50 − c, 3.50 + c]?
The manager of a grocery store has selected a random sample of 100 customers. The average length of time these 100 customers to check out was 30 minutes. It is known that the mandand deviation of the checkest time is 1 minute With a 90 probability, the sample mean will provide a margin of error of 1645 10 196 1.96
A random variable follows a binomial distribution with the probability of success for one trial at 0.745 and 18 randomly selected trials. Round to the fourth. a) Find the mean of the distribution. b) Find the standard deviation of the distribution c) Find the probability of exactly 13 successes.
A variable is normally distributed with mean 12 and standard deviation 4 a.) find the percentage of all possible values of the variable that lie between 4 and 16 b.) find the percentage of all possible values of the variable that exceed 6 c.)find the percentage of all possible values of the variables that are less than 2
The respiratory rate per minute in a newborn varies according to a distribution that is approximately normal with mean 50 and standard deviation 5. What is the probability that a randomly chosen newborn has a respiratory rate per minute between 40 and 55 ? A) 0.498 B) 0.815 C) 0.997

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