The multinomial joint probability mass function becomes the binomial probability mass function when k=

Q: The probability of digit d occurring is Pr (d) =log base 10(1+(1/d)), where d=1,2,3,....9. Calculate…

A: Solution :  Given : Pr (d) = log10(1+1d)    ; d= 1,2,3,....,9 1. Pr(d)  for d=1,2,3,....,9 Pr(1) =…

Q: The lifetime (in days) of a certain electronic component that operates in a high-temperature…

A: Answer:- Given, Lognormally distribution with mean, μ = 1.9 and standard deviation, σ = 0.4

Q: ic device (measu neast

A: Here, fx(x)=Cx2 , x>50    , x≤5 We have to find the value of C.

Q: the probability density function f(x) = the mean μ = the standard deviation o =

A: From the provided information,X is a random variable best described by a uniform probability that…

Q: Show that the following distribution is a probability mass function. Construct a plot of the…

A: We have to answer basic question related to probability mass function and also have to find out the…

Q: Suppose the probability density function for a uniform distribution ranging from 0 to 1. Thus the…

A: According to the given information, we have Uniform distribution is given. X ~ Uniform (0, 1)

Q: What are the two properties of a probability density function?

A: Let fx be the Probability density function.

Q: 3.69 The life span in hours of an electrical compo- nent is a random variable with cumulative…

A:

Q: Customers arrive at the drive-through lane of a fast food restaurant at a rate of one every 5…

A:

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

A:

Q: Four fair coins are tossed. The outcomes are independent, find the probability mass function of the…

A: Solution: Let X be the number of tails and n be the number of fair coins are tossed.

Q: Suppose you roll a fair six-sided die. Let the random variable X take value 1 when an even number is…

A: Given, We roll fair die. S = {1, 2, 3, 4, 5, 6} Let x be the event that takes values 1 when die…

Q: Random variable X has the following probability mass function: P(X=x) = (x+1)/12 for x = 0, 1, 2, 5.…

A:

Q: 24. At a certain university the probability that an entering freshman will graduate within 4 years…

A: Given dataProbability that an entering freshman will graduate within 4 years (p) = 0.6n = 2000A) The…

Q: The probability density function of a random variable, X, is: fx(x)=(8x-x4) 0≤x≤2 Determine the…

A:

Q: The time t (in minutes) spent at a driver's license renewal center is exponentially distributed with…

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: please solve explain both part a and b for my understanding

A: The total number of balls is 8, with 4 black and 4 white. When two balls are drawn without…

Q: A convenience store has two separate locations where customers can be checked out as they leave.…

A: Given that g(x) be the marginal density of X.h(y) be the marginal density of Y.

Q: A coin is weighted such that P(H) = 1/3 and P(T) = 2/3. This coin is tossed five times. Let X be the…

A: Given information P(H) = 1/3 P(T) = 2/3 n = 5 X denotes the total number tails X ~Bin (n = 5, p =…

Q: 3. Find the probability mass function of the random variable Y which represents the number of red…

A: Introduction: The random variable Y is the number of red marbles when 3 marbles are drawn at random…

Q: Assume that the coin is weighted so that Pr[H]=5/9, and that the coin is flipped until a head…

A: Values of X could be taken X=1, 2, 3 ( minimum 1 and at most 3 flips are there)

Q: Find the probability that a component will fail during a 12-hour shift.

A: Pdf of exponential distribution  f(x)=λe-λx                x>0 Here, λ=0.025

Q: Consider a random variable X which takes on values 1 and 2 with probability 0.25 and 0.75,…

A: The provided information is:x12Pr[x]0.250.75

Q: In each case, determine the value of the constant c that makes the probability statement correct.…

A: As per policy I have solve first three subparts.for the rest please reupload questions See the…

Q: certain type of battery has an average lifetime of 60 hours. Assume that the battery’s lifespan is…

A: The  exponential probability density function is given by- fx=λe-λx,x≥0 The mean of function is-…

Q: Let X be a random variable that indicates the charging time of a battery. The probability density…

A: Here given that battery is known to charge in more than 2 hours then  P(2<X<4) =?

Q: Imagine that people enter a room one by one and announce their birthdays. Let the random variable X…

A: Let the total number of people entered in the room be n. The probability of having matching birthday…

Q: Suppose that a three-point specialist makes a 3-point basket 37% of the time. IfXis the number of…

A: It is given that the three-point specialist makes a 3-point basket 37% of the time.

Q: Three couples and two single individuals have been invited to an investment seminar and have agreed…

A: Given Information: There are 3 couples and 2 individuals. The probability that any particular couple…

Q: What is a probability density function (PDF) and how is it used?

A: Approach to solving the question: Detailed explanation: Examples: Key references:Approach to Solving…

Q: An experiment is to toss two balls into four boxes in such a way that each ball is equally likely to…

A: A) Let X denote the number of balls in the first box. X=0,1,2 P(success) =1/4 Therefore, X follows…

Q: What is the probability density function, f(x), for the time to complete the obstacle course equal…

A: Let X denote the time required to complete the Uniform obstacle course in the Statistics. Given that…

Q: An urn contains 3 red balls and 1 yellow ball. We draw balls from the urn one by one without…

A: In the urn, there are 3 red balls and 1 yellow ball. Given that X denotes the number of red balls we…

Q: HAL AMI Figure 1 shows the piecewise function (I), (II) and (III) for cumulative distribution…

A: From the graph Cumulative distribution function of a continuous random variable F(x) is, F(x)=0;…

Q: Calculate the mean and variance of the random variable y, whose probability mass function is: f(y) =…

A: Farmula used E(Y)=∑YP(Y=y) Variance=V(Y)=E(Y2)-(E(Y))2

Q: Describe one engineering situation in which it would be useful to create probability mass or…

A: Probability is the chance of occurrence of an event.

Q: The repair time (in hours) for a certain machine is a random variable with probability density…

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

Q: box A and box B both contain the numbers 1 2 3 and 4. Construct the probability mass function and…

A: Given, Box A 1 , 2, 3 , 4 Box B 1 , 2, 3 , 4

Q: Suppose a single die was rolled. Let x be the random variable representing the number of even…

A: If a die is rolled there is total 6 outcomes possible that are {1, 2, 3, 4, 5, 6}. In these 6…

Q: An electronic scale at an automated filling operation stops the manufacturing line after three…

A: From the given information, Consider, X be the random variable that denotes the number of fills…

Q: The distribution of the time until a Web site changes is important to Web crawlers that search…

A: