The discrete random variable X is the number of passengers waiting at a bus stop. The...
The discrete random variable X is the number of
passengers waiting at a bus stop. The table below shows the
probability distribution for X. What is the expected value
E(X) for this distribution?
| X | 0 | 1 | 2 | 3 | Total |
| P(X) | .40 | .30 | .20 | .10 | 1.00 |
-
1.1
-
1.0
-
1.7
-
1.9
Homework Answers
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The discrete random variable X is the number of
passengers waiting at a bus stop. The...
The discrete random variable X is the number of students that show up for Professor Smith's...
The discrete random variable X is the number of students that show up for Professor Smith's office hours on Monday afternoons. The table below shows the probability distribution for X. What is the expected value ElX) for this distribution? 16 X 123 Total P(x) 48 30 20.1 1.00 Multiple Choice 1.2 10 c Prey 16 of19 İİ Next pe here to search
The table below shows the probability distribution of a discrete random variable X. Values of the...
The table below shows the probability distribution of a discrete random variable X. Values of the random variable X (x) Probability of observing each value of X P(X = x) 6 0.20 7 0.25 8 0.25 9 0.10 10 0.12 11 0.08 Total 1.00 (a) Determine the probability that the random variable X is between 8 and 10, inclusive. (1 mark (b) Determine the probability that the random variable X is at least 9. (1 mark) c. Determine the probability...
Discrete Random Variable. The random variable x has the discrete probability distribution shown here: x -2...
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A bus arrives every 11 minutes to a stop. The waiting time for a particular individual...
A bus arrives every 11 minutes to a stop. The waiting time for a particular individual is assumed to be a random variable with uniform continuous distribution. What is the probability that the individual waits for more than 6 minutes? Answer using 4 decimals.
Lab 6.1 The Mean of a Discrete Random Variable In this lab, you will discuss how...
Lab 6.1 The Mean of a Discrete Random Variable In this lab, you will discuss how to calculate the mean for a discrete random variable. At Rushmore Community College, there have been complaints about how long it takes to get food from the college cafeteria. In response, a study was conducted to record the total amount of time students had to wait to get their food. The following table gives the total times (rounded to the nearest 5 minutes) to...
the probability distribution function for the discrete random variable where X is equal to the number...
the probability distribution function for the discrete random variable where X is equal to the number of red lights drivers typically run in year follows. x 1,2,3, p(x) 0.70, 0.12 , 0.02 , 0.16 what is the mean of this discrete random variavle?
. Assignment of probability p, to each value of the Continuous Random Variable x. B. Assignment of frequency f, to each value of the Discrete Random Variable x. C. Assignment of probability p, to...
. Assignment of probability p, to each value of the Continuous Random Variable x. B. Assignment of frequency f, to each value of the Discrete Random Variable x. C. Assignment of probability p, to each value of the Discrete Random Variable x. D. Assignment of frequency f, to each value of the Continuous Random Variable x. Given the discrete probability distribution in the table below, answer questions 12-15 23 4 Po)10.12a a-0.11 0.28 12. Calculate a A. 0.46 B. 0.33...
Part 3: The Uniform Distribution Suppose that you need to take a bus that comes every...
Part 3: The Uniform Distribution
Suppose that you need to take a bus that comes every 30 minutes.
Assume that the amount of time you have to wait for this bus has a
uniform distribution between 0 and 30 minutes. The probability
density curve for this distribution is given below.
1) Is waiting time a discrete or continuous random variable?
2) What is the area of this entire rectangle?
3) What numbers are represented by a, b and c (note:...
4. Arrivals of passengers at a bus stop form a Poisson process X(t) with rate ?...
4. Arrivals of passengers at a bus stop form a Poisson process X(t) with rate ? = 2 per unit time. Assume that a bus departed at timet 0 leaving no customers behind. Let T denote the arrival time of the next bus. Then, the number of passengers present when it arrives is X(T) Suppose that the bus arrival time T is independent of the Poisson process and that T has the uniform probability density function 1,for 0t1, 0 ,elsewhere...
5. Let X be a random variable with PDF 30 20 f(x)- 20 < x <...
5. Let X be a random variable with PDF 30 20 f(x)- 20 < x < 40 0 otherwise. (a) Find P(X 20) and P(X >20) (b) Suppose that buses go past my stop at exactly twenty minutes past the hour and forty every hour. I arrive at my stop at a completely random time during the day. What is the expected value of the length of time I'll have to wait for a bus?
The discrete random variable X is the number of students that show up for Professor Smith's office hours on Monday afternoons. The table below shows the probability distribution for X. What is the expected value ElX) for this distribution? 16 X 123 Total P(x) 48 30 20.1 1.00 Multiple Choice 1.2 10 c Prey 16 of19 İİ Next pe here to search
Lab 6.1 The Mean of a Discrete Random Variable In this lab, you will discuss how to calculate the mean for a discrete random variable. At Rushmore Community College, there have been complaints about how long it takes to get food from the college cafeteria. In response, a study was conducted to record the total amount of time students had to wait to get their food. The following table gives the total times (rounded to the nearest 5 minutes) to...
. Assignment of probability p, to each value of the Continuous Random Variable x. B. Assignment of frequency f, to each value of the Discrete Random Variable x. C. Assignment of probability p, to each value of the Discrete Random Variable x. D. Assignment of frequency f, to each value of the Continuous Random Variable x. Given the discrete probability distribution in the table below, answer questions 12-15 23 4 Po)10.12a a-0.11 0.28 12. Calculate a A. 0.46 B. 0.33...
Part 3: The Uniform Distribution
Suppose that you need to take a bus that comes every 30 minutes.
Assume that the amount of time you have to wait for this bus has a
uniform distribution between 0 and 30 minutes. The probability
density curve for this distribution is given below.
1) Is waiting time a discrete or continuous random variable?
2) What is the area of this entire rectangle?
3) What numbers are represented by a, b and c (note:...
4. Arrivals of passengers at a bus stop form a Poisson process X(t) with rate ? = 2 per unit time. Assume that a bus departed at timet 0 leaving no customers behind. Let T denote the arrival time of the next bus. Then, the number of passengers present when it arrives is X(T) Suppose that the bus arrival time T is independent of the Poisson process and that T has the uniform probability density function 1,for 0t1, 0 ,elsewhere...
5. Let X be a random variable with PDF 30 20 f(x)- 20 < x < 40 0 otherwise. (a) Find P(X 20) and P(X >20) (b) Suppose that buses go past my stop at exactly twenty minutes past the hour and forty every hour. I arrive at my stop at a completely random time during the day. What is the expected value of the length of time I'll have to wait for a bus?
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