1.Decide if the function graphed below is a probability density function (pdf)or a cumulative distribution function (cdf). Also, find the value e.2c48.

Answered: 1. Decide if the function graphed below…

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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The table below shows an incomplete probability density function for X , the number of imperfections per batch of jeans that just came off a production line. What should the missing probability be? Provide the final answer as a decimal. x P(X = x) 0 0.88 1 0 2
Most computer languages include a function that can be used to generate random numbers. In Excel, the RAND function can be used to generate random numbers between 0 and 1. If we let denote a random number generated using RAND, then x is a continuous random variable with the following probability density function. a. Select the probability density function. 1. 2. 3. 4. b. What is the probability of generating a random number between 0.15 and 0.85 (to 1 decimal place)? c. What is the probability of generating a random number with a value less than or equal to 0.3 (to 1 decimal place)? d. What is the probability of generating a random number with a value greater than 0.6 (to 1 decimal place)? e. Using 50 random numbers given below, compute the mean and standard deviation. 0.467202 0.370629 0.966103 0.003795 0.877402 0.626396 0.816661 0.955063 0.569638 0.793645 0.641853 0.189704 0.519289 0.876775 0.016900 0.232961 0.807478…
Let the Probability Mass Function as follows: f(-1)=0.2, f(2)=0.3, f(3)=0.35 and f(0)=??, Then F(2)- a 0.35 O b.0.65 c0.15 d. 0.3 ge
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Q.2 Let X has the following probability density function: fx(x) = a e-ax;x > 0 Find moment generating function and then using it find mean and variance. End of Quiz
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2. Consider a gas station's daily sales. Let Y be the volume of gas sold per day in 1000s of gallons. Assume the distribution of Y follows this pdf: 1sxs 2 S (v) . else What value of k is required for the above function to be a valid pdf? b. Verify that the function given is a valid probability density а. function c. Determine the cumulative distribution function (cdf) of the random variable d. Compute the probability that there is exactly 1500 gallons of sales on a given day (Hint: Find?(r - 1.5)) = 1 CO0
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The continuous random variable X has the probability density function (pdf) given by: (k - 5+x f(x)=- 5
Question 2. A continuous random variable, X has the following probability density function: S(x) = cx² 0sxs10 = 0 otherwise a) Find the value of c. b) Find the mean, median, mode, standard deviation and coefficient of variation. c) Find the probability that X is greater than 3.0 given that X is between 2.0 and 5.0.
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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1. Decide if the function graphed below is a probability density function (pdf) or a cumulative distribution function (cdf). Also, find the value e. 2c 4 8.