The time (in minutes) a customer must wait in line at a bank is a continuous random variable with probability density function f(x) as shown below.if x20f(x) =0 otherwiseFind the median waiting time. Round to three decimal places.A. 3.892 minutesB. 0.693 minutesOC. 4.852 minutesO D. 0.143 minutes

Condition for Median: Consider,

Answered: The time (in minutes) a customer must…

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 be the number of visits to the dentist's office for a randomly selected student. Suppose that X has a probability distribution function given by the following table: X P(X= x) 0.15 0.65 Find P(X ≤u) where µ = E(X) is the average number of visits. 0.5 0.15 1 1 0.50 2 0.35
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Ted is not particularly creative. He uses the pickup line "If I could rearrange the alphabet, l'd put U and I together." The random variable x is the number of women Ted approaches before encountering one who reacts positively. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not P(x) 0.001 0.008 2 0.033 satisfied. 3 0.058 Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, the sum of all the probabilities is not equal to 1. C. No, the random variable x's number values are not associated with probabilities. D. No, the random variable x is categorical instead of numerical. E. No, not every probability is between 0 and 1 inclusive. Find the mean of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to…
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Ted is not particularly creative. He uses the pickup line "If I could rearrange the alphabet, l'd put U and I together." The random variable x is the number of women Ted approaches before encountering one who reacts positively. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not P(x) 0.001 1. 0.007 0.031 satisfied. 0.061 Does the table show a probability distribution? Select all that apply. O A. Yes, the table shows a probability distribution. O B. No, the random variable x's number values are not associated with probabilities. O C. No, the random variable x is categorical instead of numerical. D. No, not every probability is between 0 and 1 inclusive. O E. No, the sum of all the probabilities is not equal to 1.
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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.
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