Chapter 6
The random variable X represents the number of calls per hour to a call center in the last month. The probability distribution for X is below. a) Find the probability of getting exactly 4 calls per hour last month. b) Calculated the expected number of calls in the last month. Interpret.
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For the following probability distribution x fx) 0 0.01 0.02 0.10 0.35 4 0.20 0.18 0.06...
For the following probability distribution x fx) 0 0.01 0.02 0.10 0.35 4 0.20 0.18 0.06 0.05 0.09 0.03 0.10 Upload a file detailing all of the work needed for these questions. a. b. c. Determine E(x). (2 points) Determine the variance. (2 points) Determine the standard deviation. (1 point)
Given the following joint distribution of two random variables X and Y (a) Compute marginal distribution...
Given the following joint distribution of two random variables X
and Y
(a) Compute marginal distribution PX(x)
(b) Compute marginal distribution PY(y)
(c) What is the conditional probability P(Y | X = 2)?
20.10 0.05 0.15 0.10 0.10 4 0.04 0.02 0.06 0.04 0.04 6 0.04 0.02 0.06 0.06 0.02 8 0.02 0.01 0.03 0 0.04
The probability mass function of the number of calls taken by a switchboard within 1 minute...
The probability mass function of the number of calls taken by a switchboard within 1 minute is given by the following table: xi (0 1 2 3 4 5 6) Pi (0.01 0.10 0.17 0.26 0.17 0.06 M) If the numbers of calls taken in two different minutes are independent, what is the expectation of the number of calls taken within one hour? Round your answer to the nearest hundredth. Then, 3.7 rounds to 3.70, and 3.742 rounds to 3.74
A call center receives an average of 13 calls per hour. Assuming the number of calls...
A call center receives an average of 13 calls per hour. Assuming the number of calls received follows the Poisson distribution, determine the probability would receive exactly 15 calls. Round to four decimals.
A call center receives an average of 18 calls per hour. Assuming the number of calls...
A call center receives an average of 18 calls per hour. Assuming the number of calls received follows the Poisson distribution, determine the probability would receive exactly 11 calls. Make sure that your answer is between 0 and 1.
2. (25 P) A random number generator was used to generate a 100 numbers listed below....
2. (25 P) A random number generator was used to generate a 100 numbers listed below. Perform x2 goodness of fit test to check whether the data distributed uniformly in the interval [0, 1] (a= 0.05, state the hypothesis first). 0.01 0.01 0.02 0.03 0.03 0.05 0.05 0.06 0.06 0.06 0.07 0.08 0.08 0.09 0.12 0.13 0.15 0.16 0.18 0.19 0.21 0.24 0.24 0.25 0.25 0.26 0.27 0.27 0.27 0.28 0.28 0.28 0.29 0.29 0.3 0.31 0.32 0.32 0.33 0.33...
. Then use the sampling Consider the population described by the probability distribution shown in the...
. Then use the sampling Consider the population described by the probability distribution shown in the table. The random variable x is observed twice. Find E(X) distribution of x to find the expected value of x BI! Click the icon to view the table. i More Info Find E(X) Etx) (Round to the nearest tenth as needed.) Find the expected value of using the sampling distribution of E(X)- (Round to the nearest tenth as needed.) 0.2 2.5 0.12 3 0.19...
. Then use the sampling Consider the population described by the probability distribution shown in the...
. Then use the sampling Consider the population described by the probability distribution shown in the table. The random variable x is observed twice. Find E(X) distribution of x to find the expected value of x BI! Click the icon to view the table. i More Info Find E(X) Etx) (Round to the nearest tenth as needed.) Find the expected value of using the sampling distribution of E(X)- (Round to the nearest tenth as needed.) 0.2 2.5 0.12 3 0.19...
Assume that you run a call center that receives an average of 3 calls per minute...
Assume that you run a call center that receives an average of 3 calls per minute with a Poisson distribution. Use this information to answer questions 1 to 4. What is the probability that the call center receives exactly 2 calls in the next minute? Use the formula and show your work. What is the probability that the call center receives exactly 4 calls in the next minute? What is the probability that the call center receives exactly one call...
4. The emergency telephone (911) center in a large city receives an average of 210 calls...
4. The emergency telephone (911) center in a large city receives an average of 210 calls per hour during a typical day. On average, each call requires about 121 seconds fora dispatcher to receive the emergency call, determine the nature and location of the problem, and send the required individuals (police, firefighters, or ambulance) to the scene. The center is currently staffed by 7 dispatchers a shift but must have an adequate number of dispatchers on duty and it has...
For the following probability distribution x fx) 0 0.01 0.02 0.10 0.35 4 0.20 0.18 0.06 0.05 0.09 0.03 0.10 Upload a file detailing all of the work needed for these questions. a. b. c. Determine E(x). (2 points) Determine the variance. (2 points) Determine the standard deviation. (1 point)
Given the following joint distribution of two random variables X
and Y
(a) Compute marginal distribution PX(x)
(b) Compute marginal distribution PY(y)
(c) What is the conditional probability P(Y | X = 2)?
20.10 0.05 0.15 0.10 0.10 4 0.04 0.02 0.06 0.04 0.04 6 0.04 0.02 0.06 0.06 0.02 8 0.02 0.01 0.03 0 0.04
2. (25 P) A random number generator was used to generate a 100 numbers listed below. Perform x2 goodness of fit test to check whether the data distributed uniformly in the interval [0, 1] (a= 0.05, state the hypothesis first). 0.01 0.01 0.02 0.03 0.03 0.05 0.05 0.06 0.06 0.06 0.07 0.08 0.08 0.09 0.12 0.13 0.15 0.16 0.18 0.19 0.21 0.24 0.24 0.25 0.25 0.26 0.27 0.27 0.27 0.28 0.28 0.28 0.29 0.29 0.3 0.31 0.32 0.32 0.33 0.33...
. Then use the sampling Consider the population described by the probability distribution shown in the table. The random variable x is observed twice. Find E(X) distribution of x to find the expected value of x BI! Click the icon to view the table. i More Info Find E(X) Etx) (Round to the nearest tenth as needed.) Find the expected value of using the sampling distribution of E(X)- (Round to the nearest tenth as needed.) 0.2 2.5 0.12 3 0.19...
. Then use the sampling Consider the population described by the probability distribution shown in the table. The random variable x is observed twice. Find E(X) distribution of x to find the expected value of x BI! Click the icon to view the table. i More Info Find E(X) Etx) (Round to the nearest tenth as needed.) Find the expected value of using the sampling distribution of E(X)- (Round to the nearest tenth as needed.) 0.2 2.5 0.12 3 0.19...
4. The emergency telephone (911) center in a large city receives an average of 210 calls per hour during a typical day. On average, each call requires about 121 seconds fora dispatcher to receive the emergency call, determine the nature and location of the problem, and send the required individuals (police, firefighters, or ambulance) to the scene. The center is currently staffed by 7 dispatchers a shift but must have an adequate number of dispatchers on duty and it has...
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