Example. The number of accidents that occur during a given month at a particular intersec-tion, X, tabulated by a group of Boy Scouts over a long time period is found to have a mean of 12and a standard deviation of 2. The underlying distribution is not known. What is the probabilitythat, next month, X will be greater than eight but less than sixteen. We thus want P[8 < X < 16].1P [(µ – ko) < X < (µ + kµ)] > 1 –k2For this problem u = 12 and o = 2 so u – ko = 12 - 2k. We can solve this equation for the k thatgives us the desired bounds on the probability.

Answered: Image /qna-images/answer/9c965d9a-4f4c-4f51-adfc-916ac506dece.jpg

Answered: Example. The number of accidents that…

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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For each substance, estimate the standard deviation o by assuming uniform distribution and normal distribution shown in Table 8.11 in Section 8.8. (Round your answers to 4 decimal places.) Uniform Distribution Normal Distribution Chromium Barium Fluoride
A person's level of blood glucose and diabetes are closely related. Let x be a random variablemeasured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a12-hour fast, the random variable x will have a distribution that is approximately normal withmean μ = 84 and standard deviation of σ = 26 What is the probability that, for an adult after a12-hour fast, x is less than 81? Group of answer choices 0.546 0.454 0.023 0.273 0.227
The random variable xx represents the number of emails received at a help desk in one hour, and it has a Poisson distribution with a mean of 7.9. (Round to two decimal places.)What is the variance?σ2 = What is the standard deviation?σ =
In a normal distribution, x = 5 and z = –1.4. This tells you that x = 5 is ____ standard deviations to the ____ (right orleft) of the mean.
A researcher is studying hospitals cleanliness comparing carpeted rooms with uncarpted rooms. This researcher would like to determine if the mean number of airborne bacteria (per cubic foot) in carpeted rooms differs from the mean amount of airborne bacteria in uncarpeted rooms. To test thus, carpeted and uncarpeted hospitals rooms were randomely selected. Then air from the room was pumped over a petri dish and the number of bacteria of the patri dish was recorded. Since both samples are small (less than 30), you may assume that number of bacteria per petri dish is normally distributed. Using significant level =.05, use the unequal varance t-test for means to determine if the mean number of airborne bacteria in carpeted rooms differs from the mean number of airborne bacteria in uncarpeted rooms. Follow all steps and remember that you must assign population 1 and population 2 before you set up your Ho and Ha.
X is a normally distributed random variable with a mean of 5 and a standard deviation of 2. For which value of a is P(X > a) = 0.6293? What is a?
Find P(27 < X < 32) if X is normally distributed with mean 24 and standard deviation 5.
The lifespans of light bulbs are known to follow an exponential distribution. The exponential distribution, often denoted exp(β), is characterized by a single mean parameter β. The exponential distribution has a unique property that its standard deviation is equal to its mean. Suppose you order 100 light bulbs known to each have lifespans (in years) distributed according to exp(4). What is the probability that the average lifespan of your 100 light bulbs exceeds 5 years? (Using R it possible)
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If all possible samples of size 16 are drawn from a normal population with mean equal to 50 and standard deviation equal to 5, what is the probability that a sample mean, ,will fall in the interval from Hx-1.90g to Hx –0.40g ? Assume that the sample means can be measured to any degree of accuracy.

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