A sales person estimates the probabilities given in the table for the number of weekly sales of a photocopying machine. Number of Sales Probability 2 .30 3 .21 4 .13 .13 .17 .06 (a) Find the value of the cumulative probability function F(xo) at xo = 3.

Q: A. Find the expected value of each probability mass function below. 1. 3 P(x) 0.15 0.32 0.37 0.16 2.…

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: 2. After manufacture, computer disks are tested for errors. Let X be the umber of crrors detected on…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: An exponential probability distrubution has a mean equal to 10 minutes per customer . Calculate the…

A: Consider the random variable X is the time between arrivals of vehicles at particular intersection…

Q: After manufacture, computer disks are tested for errors. Let X be the number of errors detected on a…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: C. The time needed to repair the engine of a car is exponentially distributed with a mean time equal…

A: Random variables are of 2 types, discrete and continuous. A discrete random variable can only take…

Q: x P(x) 0 0.15 1 0.25 2 0.05 3 0.55

A: Given probability distribution is, X P(X) 0 0.15 1 0.25 2 0.05 3 0.55

Q: A home fire alarm is believed to have a working life T in years given by hazard function Lamda(t) =…

A: The Survival function is given by: It is also known that, where, Now, it is given that,

Q: The time to failure (in hours) for a laser in a cytometry machine is modeled by an exponential…

A: Given information Time to failure for a laser is modelled using Exponential distribution λ = 0.00004…

Q: (a) Let V be the average volume of a random sample of 144 bottles. Find the expected value and…

A:

Q: The probability distribution of X, the number of imperfections per 10 meters of a synthetic fabric…

A: From the given information, x f(x) 0 0.41 1 0.37 2 0.16 3 0.05 4 0.01

Q: C. The time needed to repair the engine of a car is exponentially distributed with a mean time equal…

A:

Q: Select your answer- C. Consider the required conditions for a discrete probability function, shown…

A: Given that, A technician services mailing machines at companies in the Phoenix area. Depending on…

Q: A machine producing an item which follows an exponential distribution with mean 1. Then find the…

A: It is given that machine producing an item which follows exponential distribution with mean 1. Here…

Q: Determine the probability distribution function of X, f (x ).

A: The probability distribution function f(x) can be calculated by differentiating the CDF of X.

Q: ). Determine the probability density function for the cumulative distribution function shown below.…

A:

Q: b) For the triangular function c(10-x) 0<x<10 f(x)={° otherwise Find the value of c which makes the…

A: From the provided information,

Q: (b) Find the probability that a randomly selected student received a business degree, given that the…

A:

Q: The random variable x has the following continuous probability distribution in the range 0 < x < a,…

A: A random variable X is said to follow continuous uniform or rectangular distribution in an interval…

Q: Find the constant C such that p(x) is a probability function. Compute the probability P(1.5≤X ≤2).

A:

Q: 3)- A large freight elevator can transport a maximum of 10,000 pounds (5 tons). Suppose a load of…

A: Given: Number of boxes (n) = 45 Population mean μ=200 Population standard deviation σ=55 Yi ~ N…

Q: Let x have an exponential distribution with 2 = 1. Find the probability. (Round your answer to four…

A:

Q: At an urgent care facility, patients arrive at an average rate of one patient every seven minutes.…

A:

Q: The following function is cumulative distribution function. x < - 5 0.30 -5 < x < 35 F(x) : 0.70 35…

A: Given Cumulative distribution function

Q: q1- Collina's Italian Cafe in Houston, Texas, advertises that carryout orders take about 25 minutes.…

A:

Q: 19. In a recent year, there were 2,515,458 deaths, and 787,650 of them were due to cardiovascular…

A: Given: Number of deaths = 2515458 Number of deaths due to cardiovascular disease = 787650 The cause…

Q: Collina's Italian Cafe in Houston, Texas, advertises that carryout orders take about 25 minutes.…

A:

Q: a. Find the probability that x² > 15. 0.75 b. Calculate the expected value ex of X 4.65 c. Calculate…

A: We have to find R code for given problem :

Q: The table below shows a probability density function for a discrete random variable X. What is the…

A: x P (X=x)  0 1/12 1 5/12 2 1/12 3 1/6 4 1/6 5 1/12

Q: Given the probability density function f(x)=13f(x)=13 over the interval [4,7][4,7], find the…

A:

Q: Which of the following represents the two properties a continuous probability distribution must…

A: Given, The properties of distribution function and probability density function.

Q: Let X represent the time it takes from when someone enters the line for a roller coaster until they…

A: In this case, (x–3)/1.18= (x–a)/(b-a)=F(x).Therefore, the cumulative distribution function…

Q: a) What is E(X)? Give your answer to three decimal places.  b) What is the value c such that P(X <…

A:

Q: The time to failure (in hours) for a laser in a cytometry machine is modeled by an exponential…

A: Given Lamda=0.00004

Q: C. The time needed to repair the engine of a car is exponentially distributed with a mean time equal…

A: Given : mean time = 3 hours operating time =2.5 hours

Q: The probability distribution of y, the number of accidents per 10 days of a diversion road in…

A:

Q: Airlines frequently overbook their flights. Suppose that for Flight 23 to Miami from New York there…

A: Given  X 0 1 2 3 4 5 P(x) .35 .20 .18 .15 .10 .02 F(x) .35 .55 .73 b .98 1

Q: Q3. Exponential Distribution has a memoryless property. Intuitively, it means that the probability…

A: X~Exponential(λ)Then,f(x)=λe-λx,x&gt;0We know,P(X≤x)=∫0xf(z)dz=∫0xλe-λzdzLet…

Q: An insurance policy on an electrical devicepays a benefit of $4000 if the device fails during the…

A: Consider the given: Let P be the probability of failure during a year p=0.4Hence, the probability of…

Q: The table shows the probability distribution of the number of days (x) to complete a construction…

A: Given data is x f(x) 1 0.104 2   3 0.312 4 0.240 5 0.098 6 0.017

Q: 10. Determine the probability density function for the cumulative distribution function shown below.…

A: Ans#-  Given cumulative distribution function             F(x) =…

Q: P(x) X 0.3 1 0.15 2 0.15 3 0.4 Find the mean of this probability distribution. Round your answer to…

A: Probability distribution table is, X P(X) 0 0.3 1 0.15 2 0.15 3 0.4

Q: The amount of time, T, that the effect of caffeine is felt on your body after drinking a cup of…

A: Introduction: For an exponentially distributed random variable X, with mean λ, the cumulative…

Q: The joint probability distribution of x and y is as follows: У p(x, y) 1 .10 .04 .02 1 .08 .20 .06 2…

A:

Q: Exercise 2 In Exercise 1, the following probabilities have been calculated: P(X=1/8) = 0.2, P(X=1/4)…

A:

Q: The probability of winning the $100 fırst prize is 1/40, and the probability of winning the $25…

A:

Q: The table below represents the probability density function for the random variable X. Find the…

A:

Q: You are planning to go fishing with two friends. The time (in hours) before you catch a fish is…

A: Given information- We have given that the time (in hours) before you catch a fish is exponentially…

Q: (a)  Sketch the probability mass function of X . (b)  Find the mean and standard deviation of the…

A: Histogram is the graphical representation of the continuous frequency distribution of the data set…

Q: - Your answer is partially correct. The following function is cumulative distribution function. 0 x…

A: A cumulative density function {F(x) }is given here  By using property of cumulative density function…