onsExercise 06.27 Algo (Exponential Probability Distribution)Consider the following exponential probability density function.a. Which of the following is the formula for P(x ≤ xo)?1 P(x ≤ xo) = e2 P(x ≤ xo) = 1- e-73 P(x ≤ xo)=1-e-20- Select your answerb. Find P(x ≤ 1) (to 4 decimals).c. Find P(x4) (to 4 decimals).d. Find P(x ≤ 6) (to 4 decimals).e. Find P(1 ≤x≤6) (to 4 decimals).0 Icon KeyIIS3XI19f(x) = eifofor 20A5

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Answered: ons Exercise 06.27 Algo (Exponential…

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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Let X denote the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. Suppose that for banner-tailed kangaroo rats, X has an exponential distribution with parameter a = 0.01437. (a) What is the probability that the distance is at most 100 m? At most 200 m? Between 100 and 200 m? (Round your answers to four decimal places.) at most 100m at most 200m between 100 and 200 m (b) What is the probability that distance exceeds the mean distance by more than 2 standard deviations? (Round your answer to four decimal places.) (c) What is the value of the median distance? (Round your answer to two decimal places.)
Exercise 06.27 Algo (Exponential Probability Distribution) Consider the following exponential probability density function. a. Which of the following is the formula for P(x ≤ xo)? 1 P(x ≤ xo) = e *0 200 2 P(x ≤ xo) = 1 -e¯î 3 P(x ≤ xo) = = 1-e-20 - Select your answer - b. Find P(x ≤ 2) (to 4 decimals). c. Find P(x4) (to 4 decimals). d. Find P(x ≤ 5) (to 4 decimals). e. Find P(2 ≤ x ≤ 5) (to 4 decimals). Icon Key f(x) = 1/2 e for x ≥ 0
Answer only d part
Let X = daily number of bag of rice a farmer harvest. The farmer modeled X and got the following probability mass function. X 0 1 2 3 4 P(X=x) 0.1 0.4 0.25 0.15 0.10 a. The probability that the farmer will harvest 5 bags of rice today is? b. The probability that the farmer will harvest at least 2 bags of rice today? c. The amount of bags of rice the farmer harvest for a day on the average is? d. If the farmer gets $300 per bag, what is the farmer's average daily earnings? e. What is the variance of X?
A , B and C
If the average number of rodents in a cotton farm whose swabs are 20 dunums is 2 per dunum, calculate The probability that a given dunam contains more than 3 rodents. b, find the value of the constant C that makes the following function a probability mass function F(x) C 0.15 0.45
The table below shows the probability mass function of the amount of memory X (GB) in different flash drives available in a certain store. 1 .25 y p(y) What is the V(Y) a. 0.25 Ob. C. 0 d. 0.74 .60 0.85 None of the answers 2 .10 3 .05
Let X denote the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. Suppose that for banner-tailed kangaroo rats, X has an exponential distribution with parameter å = 0.01417. (a) What is the probability that the distance is at most 100 m? At most 200 m? Between 100 and 200 m? (Round your answers to four decimal places.) at most 100 m at most 200 m between 100 and 200 m (b) What is the probability that distance exceeds the mean distance by more than 2 standard deviations? (Round your answer to four decimal places.) (c) What is the value of the median distance? (Round your answer to two decimal places.)
Exercise 06.27 Algo (Exponential Probability Distribution) Consider the following exponential probability density function. a. Which of the following is the formula for P(x ≤ xo)? 20 1 P(x ≤ xo) = e 2 x0 2 2 P(x ≤ xo) = 1 - e 3 P(x ≤ xo) = 1−e¯¤o Formula #2 ♦ b. Find P(x ≤ 2) (to 4 decimals). Ⓡ c. Find P(x ≥ 4) (to 4 decimals). x d. Find P(x ≤ 6) (to 4 decimals). e. Find P(2 ≤ x ≤ 6) (to 4 decimals). f(x) = = 12 e 2 for x ≥ 0 ◄ Question 10 of 16 ► Hint(s) Check My Work
Definition. When the sample space of an experiment is finite, a probability density function for a random variable is a table of all possible values of X and their corresponding probabilities. Remember that random variables assign numbers to each outcome. Each outcome has some probability of occurring. IfXis a random variable, when we write Pr[X= 2], we mean Pr[E], where E is the event consisting of all outcomes to which the random variable eX assigns 2. To further explain this complete the following example. Suppose a fair coin is flipped 3 times. A random variable X assigns the number of heads to each outcome. (a) What are all possible values of X? b) Make a table of each of these values and the probabilities associated with them. Again, this table is called the probability density function of X.( c) Suppose that the random variable Y is 2 times the number of the head plus the number of tails flipped, find the probability density function of Yf or this experiment.
Let X be the total amount saved in dollars at the cash register. The pdf of X is given by: Value of X 20 28 40 50 58 70 probability 0.36 0.21 0.24 0.1225 0.0175 0.03 .0175 0.0025 Before I make the purchase, you would place my chance of saving $20 at 24%. Suppose you approach me after I pay for my items and ask: "Did you save any money?" If I answer "no", then you know I didn't save $20 and thus the chance of saving $20 changes from the unconditional chance 24% to the conditional chance 0%. However, if I answer "yes" my chance of saving $20 would get higher. What would be the conditional chance of saving $20 if you knew I got a discount? Mathematically, we seek: P(X = 20|X > 0 ). Even though it looks weird, it is just a conditional probability. Find it. P(X = 20|X > 0) = P(X = 20 and X > 0) / P(X > 0) = Hint: P(X = 20 and X > 0) be read off the table by identifying possible values where the event (X = 20 and X > 0) is true, don't use the multiplication rule. Do not round, express your…

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