The length of time that a certain type of watch will run is an exponential random variable. This type of watch will run for an average of 31 months.   Find the variance for the number of months that this type of watch will run. Variance: ____________________     __________________ percent of the watches will run for more than 3 years before stopping.

Q: The probability is ______________________ that for any 9 randomly chosen apples, 3 of the apples…

A: here sample size n=9 probability, p=0.2342 no: of apples rejected, x=3 The pdf of binomial…

Q: Ex. 2. Determine the probability of getting the sum 6 exactly 3 times in 7 throws with a pair of…

A:

Q: Suppose two dice (one red, one green) are rolled. Consider the following events. A: the red die…

A: From the given information, the event B represents the numbers add to 3.

Q: The XY Manufacturing Company must decide whether to manufacture acomponent part at its plant or…

A:

Q: Erica is working on a project using software to find probabilities. She quickly realizes that her…

A: From the given information, There are 1000 people applied for 40 available positions. Among 1000…

Q: A simple random sample of size n=24 is drawn from a population that is normal distributed. The…

A:

Q: (a) Two independent random variables X, Y have zero mean, and variance 3,6 respectively. Estimate…

A: As per the guidelines, we are solving first question for you when multiple questions are posted.…

Q: A vice president and a secretary are to be chosen from an organization consisting of 30 people. How…

A: Note: Hi! Thank you for the question. As you have posted multiple sub-parts, according to our…

Q: each

A: i)

Q: 4. Probability & Statistics - Random Variable Probability A continuous random variable X has a PDF…

A:

Q: D b. find the proba

A: Game Theory     B     U D A U 10,5 19,0 M 15,8 5,5 D 0,5 25,10

Q: Suppose small aircraft arrive at a certain airport according to a Poisson process with rate a a = 8…

A:

Q: Determine how many distinguishable five letter words can be formed using 3 letters from the word…

A:

Q: Ex. 4. The mean and standard deviation of the marks obtained by 1000 students in an examination are…

A:

Q: An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted…

A: Given A fair die is rolled twiceEvent A is the sum is greater than 9Event B is the sum is an odd…

Q: Suppose the life span of a calculator manufactured by Texas Instruments has a normal distribution…

A:

Q: A random variable has a continuous uniform distribution with 10 < X < 20.   What is the density…

A:

Q: Mr. Breuer is very proud of his hybrid vehicle, so he collected data about the number of gallons (x)…

A: For the given data Find On average, how many miles does Mr. Breuer get per gallon? (This would be…

Q: Problem 4. A machine receives signals, and the number of signals it receives has a Poisson (X…

A: Given that: The number of signals the machine receives has a Poisson distribution. The signal is…

Q: Which of the following statements is true of P(A), that is, the probability of A, for any event A?…

A: I. If A is very likely to occur, P(A) &gt; 1  II. P(A) = 1 - P(A not occurring) III. P(A) &gt; 0…

Q: e males order a healthy meal. 80% of the kids prefer consuming fast-food. If a client is sked at…

A: Here define events and draw probability tree  Female = F Male = M Child = C Order healthy meal = H…

Q: (c) (d) The joint distribution function FG,B (g, b). The marginal distribution function FG (g) and…

A: Given two random variables that are defined on the same probability space, the joint probability…

Q: A standardized test consists of multiple choice questions. Each question has five choices. Suppose…

A:

Q: Let X be a discrete random variable with Poisson distribution, and with parameter 18. What is the…

A: Answer is option a.910 Explanation is given below

Q: 5. If the moment generating function of X is e500+ 5000r², find P 27,060 ≤(X-500)² ≤50,240 ,240].

A: Solution

Q: The following table shows the results of a survey of authors by a (fictitious) publishing company.…

A: It is given that N represents an author is new and U represents that an author is unsuccessful.

Q: roblem 3. Suppose that X and Y are independent Poisson random variables with param- ers λ and µ,…

A:

Q: In any given day the air quality in a certain city is either good or bad. Records show that when the…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 1) Consider a random sample X₁, X₂,...,Xn from a population distributed with the following mass…

A: "Since you have posted a question with multiple subparts, we will solve first 3 sub-parts for you.…

Q: Let X be a continuous random variable with E(X)=i! for i=0,1,2,.... (a) Show that X has an…

A: Yes it is a Gamma distribution with parameters (1,1)

Q: Use technology to find the following binomial probabilities. Round to the nearest thousandth. Find…

A:

Q: A random sample of 110 automobile owners in a region shows that an automobile is driven on average…

A: Prediction interval formula : PI = x̅ ± t(α/2,df) * s * √1+(1/n)

Q: What is the probability of winning a prize at least two times in 5 tries?

A: Here given, A clothing store gives customers a card with each purchase,customers scratch a box to…

Q: An urn contains red balls and blue balls. Let p represent the proportion of red ball We would like…

A: Type II error is the probability of not rejecting the null hypothesis when it is actually false.

Q: The mean height obtained from a random sample  of size 100 is 64 inches. The standard deviation of…

A:

Q: 2. A popular cricket club in Kumasi, has different categories of nembership since its formation in…

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

Q: 2. Let X₁, X₂ and X3 be mutually independent random variables with Poisson distributions having…

A:

Q: A presidential of staff's club hired a public relations firm to conduct a poll to see whether he…

A:

Q: Suppose 5 men out of 100 and 25 women out of 10,000 are color blind. A color blind person is choosen…

A:

Q: A mathematics instructor at a large university has determined that a student's probability of…

A:

Q: 7. P(Z < ) = 0.1029

A: According to policy we supposed to answer first part for remaining please repost the question

Q: The joint probability mass function of X and Y, p(x, y) is given by p(1,1)=¹ p(2,1)= p(3,1)=…

A:

Q: In a certain triangle, the measure of angle A is three times as big as the measure of angle C and…

A: Given that  Certain triangle has  Angle A is three times big as the measure of angle C. Angle B is…

Q: As we have learned, the changing rapidly. The rise in the artificial intelligence has decima…

A: As this question includes many sub-parts according to the company norms first 3 question sub-parts…

Q: At a casino, one lucky player is blindfolded and allowed to pick 5 bills from a bowl containing 25…

A:

Q: Suppose that X has a continuous distribution with the following probability density function Then…

A:

Q: x. The spin state of the entire le values that would be obtain

A: Given: There are 2 spin particles are S1=2 and S2=1/2 Spin of entire system can be given as…

Q: Find and simplify. f(x) = 4 - x² (a) f(x + h) − f(x)

A:

Q: Table 6 shows the moisture content for one week during mo Find and interpret the coefficient of…

A: Given data, X Y X*Y X*X Y*Y 25 34 850 625 1156 23 32 736 529 1024 29 30 870 841 900 25 33…

Q: A bag of 25 tulips contains 11 red 8 yellow and 6 purple. If I select 2 bulbs what is the…

A: The number of red tulips is 11 and the number of yellow tulips is 8 and the number of purple tulips…