In a food processing and packaging plant, there are on average 3 packaging machine breakdowns per...
In a food processing and packaging plant, there are on average 3 packaging machine breakdowns per week. assume that the weekly machine breakdowns follow a poisson distribution
calculate the probability that there are no more than 3 machine breakdowns in a given week
Homework Answers
This is a question of poisson distribution with
For a Poisson Distribution
Please hit thumps up if the answer helped you
Add Answer to:
In a food processing and packaging plant, there are on average 3
packaging machine breakdowns per...
The partially completed table gives the probability distribution for the number of breakdowns per week for...
The partially completed table gives the probability distribution for the number of breakdowns per week for a machine, based on historical data. Breakdowns per week 0 1 2 3 4 or more Probability ? 0.26 0.19 0.09 0.01 Determine the probability that the number of breakdowns in a given week is at most one. (2 decimal places)
C1: Snow Manufacturing Co. has 6 machines that perform a particular task. Breakdowns occur frequently for this machine. Past records indicate that the number of breakdowns that occur each day is d...
C1: Snow Manufacturing Co. has 6 machines that perform a particular task. Breakdowns occur frequently for this machine. Past records indicate that the number of breakdowns that occur each day is described by the following probability distribution: SK2: 5 marks Number of Probability Breakdowns 0.2 0.3 0.4 More than 3 0.0 Required: 1. What is the expected number of breakdowns in any given day? (2 marks) 2. What is the variance for this distribution? (1 mark) 3. What is the...
The number of breakdowns Y per day for a certain machine is a Poisson random variable with mean A...
The number of breakdowns Y per day for a certain machine is a Poisson random variable with mean A. The daily cost of repairing these breakdowns is given by C 3Y2. If Y, Y2, Y denote the observed number of breakdowns for n independently selected days, find an MVUE for E(C).
The number of breakdowns Y per day for a certain machine is a Poisson random variable with mean A. The daily cost of repairing these breakdowns is given by...
The number of times a machine broke down each week was observed over a period of...
The number of times a machine broke down each week was observed over a period of 100 weeks and recorded as shown in the table below. It was found that the average number of breakdowns per week over this period was 2.3. Test the null hypothesis that the population distribution of breakdowns is Poisson. Use significance level alpha α equals =0.10. Number of breakdowns 0 1 2 3 4 5 or More Number of weeks 9 22 35 23 5...
Problem 4: The number of breakdowns of a machine is a random variable with λ =...
Problem 4: The number of breakdowns of a machine is a random variable with λ = 2.2 breakdowns per month. Find the probability that the machine will work during any given month with: No breakdowns One breakdown Two breakdowns At least two breakdowns What is the expected value for the distribution What is the standard deviation for the distribution
4. A life insurance saleswoman sells on average 3 life insurance policies per week. Assume that...
4. A life insurance saleswoman sells on average 3 life insurance policies per week. Assume that the number of life insurance policies per week follows a Poisson distribution. Find the probability that in a given week, the saleswoman will sell (a) (4 points) At least 1 policy. (b) (4 points) 2 or more, but fewer than 5 policies
I need help on the steps and logic used to get the solution provided. Assume that...
I need help on the steps and logic used to get the solution provided. Assume that the copy machine breaks down at any time and that the breakdowns occur as a time-homogeneous Poisson process with an average of 2 breakdowns per week. a) In a one week period, what are the mean and SD number of breakdowns? (Answer 2, root 2) b) In a two week period, what are the mean and SD number of breakdowns? (Answer 4, 2) c)...
The maintenance department in a factory claims that the number of breakdowns of a particular machine...
The maintenance department in a factory claims that the number of breakdowns of a particular machine follows a Poisson distribution with a mean of 4 breakdowns every 384 hours. Let x denote the time (in hours) between successive breakdowns. (a) Find λ and μx. (Write the fraction in reduced form.) (b) Write the formula for the exponential probability curve of x. (d) Assuming that the maintenance department's claim is true, find the probability that the time between successive breakdowns is...
a) (8 points) The number of breakdowns Y per day for a certain machine is a...
a) (8 points) The number of breakdowns Y per day for a certain machine is a Poisson random variable with mean 1. The daily cost of repairing these breakdowns is given by C = 3Y2. If Y1, ..., Yn denote the observed number of breakdowns for n independently selected days, find and MVUE for E(C). b) (7 points) A random sample Y1, ..., Yn is selected from a population of Uniform(0,0) random variables. Is the estimator Ô = 27 a...
Soltan Security is a security company that retains a service crew to repair its vehicles. The veh...
Soltan Security is a security company that retains a service crew to repair its vehicles. The vehicle breakdowns occur at a rate of 3 per day, and follow a Poisson process. The crew can service an average of 8 vehicles per day, with a repair time distribution that resembles the exponential distribution. a) What is the utilization rate of the service system? b) What is the average downtime for a vehicle that is broken down? c)How many vehicles are waiting...
C1: Snow Manufacturing Co. has 6 machines that perform a particular task. Breakdowns occur frequently for this machine. Past records indicate that the number of breakdowns that occur each day is described by the following probability distribution: SK2: 5 marks Number of Probability Breakdowns 0.2 0.3 0.4 More than 3 0.0 Required: 1. What is the expected number of breakdowns in any given day? (2 marks) 2. What is the variance for this distribution? (1 mark) 3. What is the...
The number of breakdowns Y per day for a certain machine is a Poisson random variable with mean A. The daily cost of repairing these breakdowns is given by C 3Y2. If Y, Y2, Y denote the observed number of breakdowns for n independently selected days, find an MVUE for E(C).
The number of breakdowns Y per day for a certain machine is a Poisson random variable with mean A. The daily cost of repairing these breakdowns is given by...
4. A life insurance saleswoman sells on average 3 life insurance policies per week. Assume that the number of life insurance policies per week follows a Poisson distribution. Find the probability that in a given week, the saleswoman will sell (a) (4 points) At least 1 policy. (b) (4 points) 2 or more, but fewer than 5 policies
a) (8 points) The number of breakdowns Y per day for a certain machine is a Poisson random variable with mean 1. The daily cost of repairing these breakdowns is given by C = 3Y2. If Y1, ..., Yn denote the observed number of breakdowns for n independently selected days, find and MVUE for E(C). b) (7 points) A random sample Y1, ..., Yn is selected from a population of Uniform(0,0) random variables. Is the estimator Ô = 27 a...
Most questions answered within 3 hours.
-
find the critical value associated with a right sided hypothesis of
the mean using a sample...
asked 1 hour ago -
Which of the following statements is true with respect to a
simple linear regression model?
a....
asked 2 hours ago -
The energy required to remove an electron from a surface of a
solid element is called...
asked 3 hours ago -
How would you train your employees to avoid risks of using
mobile devices?
asked 4 hours ago -
Assume Kw = 1.01 ✕ 10−14
For pure water, we can calculate [H3O+ ] = [OH...
asked 5 hours ago -
Suppose that on a temperature scale X, water boils at 203.0°X
and freezes at -105.7°X. What...
asked 6 hours ago -
BaS crystallizes in a cubic unit cell with S2- ions on each
corner and each face....
asked 6 hours ago -
A. 0≤P(Oi)≤10≤P(Oi)≤1 for each i
B. P(Oi)≤0P(Oi)≤0
C. P(Oi)=1+P(OCi)P(Oi)=1+P(OiC)
D. P(Oi)≥1P(Oi)≥1
If an experiment consists of...
asked 8 hours ago -
A battery has an emf of 9.20V and an internal resistance of 1.20
ohm. a)What resistance...
asked 8 hours ago -
The area of an elastic circular loop decreases at a constant
rate, dA/dt = −6.60×10−3 m2/s...
asked 9 hours ago -
The denaturation of proteins can be described by the
equilibrium
F⇌U
where F and U represent...
asked 10 hours ago -
Please answer what the maximum and minimum force is, and the
angle on the ion is...
asked 10 hours ago