The probability that a soldier in particular region will be infected by a particular typeof hepatitis is 1/800. There are presently 5000 British soldiers in this region. Find(approximately) the probability that at most 10 of the British soldiers will be infectedby this type of hepatitis. (Assume that a soldier can get infected independently of theother soldiers.) Use a Poisson approximation.0.5830.6740.9860.0140.946

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Answered: The probability that a soldier in…

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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Part b is: What is the probability that a company selected at random will have allocated to environmental and pollution control a proportion that exceeds the population mean given in (a)?
QUESTION 8 Assume that Z is a standard normal random variable, find the following probabilities: 3.1. P(1.80 sZ s2.50) 3.2. P(Zs3.60) 3.3. P(Zs2) 3.4. P(Z21) 3.5. P(Zs-1.80).
6.4.2
Question 3 The number of accidents which occurs per week on Johnson's Highway follows the Poisson distribution with mean 1.2. A. B. C. Find the probability that: i. ii. The random variable X~ N(25,100). Find: P(X<29) P(23< X<27) No accidents occur in a particular week More than 2 accidents occur in a given week i. 11. 1. 11. Candles are packaged in bags each containing ten candles. A candle is regarded as overweight if it weighs more than 10 grams. The probability that any one candle produced will be underweight is 0.30. A package of candle is selected at random. Calculate the probability, using a binomial distribution that: no candle is overweight exactly THREE (3) candles are overweight
Question 3: Discrete random variables Each bit transmitted through a channel has a 10% chance to be transmitted in error. Assume that the bits are transmitted independently. Let X denote the number of bits in error in the next 18 transmitted bits. Answer the following questions a) Find the probability that in the next 18 transmitted bits, at least 3 transmitted in error. b) Calculate the expected value, variance and standard deviation of X. c) Find the probability that X is within 1 standard deviation of its mean value.
Question 6 On average there are 3 earthquakes each year in a certain geographic location. The distribution of earthquakes in this geographic location obeys a poisson process. Calculate the probability there is one earth quake in a one month period. .15 .81 .19 .99 .024
Statistics Question
Example 4-28. (Buffon's Needle Problem). A vertical board is ruled with horizontal parallel lines at constant distance 'a' apart. A needle of length l (< a) is thrown at random on the table. Find the probability that it will intersect one of the lines.
Chapters: Normal and Exponential random variables. Q: Let X be an exponential random variable with rate 1. If a and b are positive numbers, then P(X > a + b|X > b) = P(X > a). a. Explain why this is called the memoryless property b. Show that for an exponential rv X with rate 1, P(X > a) = e-ad.
How do you solve this statistics question without using code? Find P(X1 > X2)
This cumulative review problem uses material from Chapters 3, 5, and 10. Recall that the Poisson distribution deals with rare events. Death from the kick of a horse is a rare event, even in the Prussian army. The following data are a classic example of a Poisson application to rare events. The data represent the number of deaths from the kick of a horse per army corps per year for 10 Prussian army corps over a period of time. Let x represent the number of deaths and f the frequency of x deaths. x 0 1 2 3 or more f 111 61 24 4 (a) First, we fit the data to a Poisson distribution.The Poission distribution states P(x) = e−λλx x! , where λ ≈ x (sample mean of x values). From our study of weighted averages, we get the following. x = Σxf Σf Verify that x = 0.605. Hint: For the category 3 or more, use 3. x = (b) Now we have P(x) = e−0.605(0.605)x x! for x = 0, 1, 2, 3 . Find P(0), P(1), P(2), and P(3 ≤ x). Round to three places…

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