What result from probability theory is often used to formulate a linear difference equation involving probabilities? O the central limit theorem O the binomial theorem O Bayes' theorem O the law of total probability

Q: 1. A failure in oil pipe line is uniformly distributed between zero and 1000 Kilometers. What is the…

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Q: A continuous probability is best represented by

A: We know that  Continuous probability distribution is the one in which data can take on any value…

Q: In 1985, neither Florida nor Georgia had laws banning open alcohol containers in vehicle passenger…

A: (i) Consider FL be a dummy or binary variable which is equal to one if a person lives in Florida,…

Q: At a drug rehab center 34% experience depression and 29% experience weight gain. 16% experience…

A: As per guidelines expert have to answer first question three subparts only dear student please…

Q: In a game, a fair die is rolled and the player wins $1 if a 1 is rolled, wins $2 if a 6 is rolled,…

A: Let X denote the net gain The net gain and its probability are shown in the table x P(X)…

Q: A function of a random variable which describes the probability of that random variable is

A: A function of a Random Variable which describes the probability of that random variable is called…

Q: 1. A coin is tossed n times and lands heads k times. What is the maximum likelihood estimator for p,…

A: Given: No. of tosses: n No. of heads: k Probability of heads: p

Q: The power probability that the test will correctly reject the null hypothesis. of a hypothesis test…

A: Power of the test :  Probability of committing the compliment of type II error is called as the…

Q: An assembly line, based on past production, has a 2% defective rate. A random sample of 800…

A: Given that n=800 p=0.02 q=1-p =1-0.02 =0.98

Q: explain the  physical meaning of entropy of  a random variable

A: It is an important part of statistics. It is widely used.

Q: How is a probability density function used to calculate probabilities?

A: Query- How is a probability density function used to calculate probabilities. Answer- The…

Q: An oil prospector will drill a succession of holes in a given area to find a productive well. The…

A: For X (a defined random variable) following geometric distribution, the pmf is, P(X=x)=qxp ;…

Q: se the empirical method to estimate the probability.   Every​ week, Joe plays chess with his father.…

A: Probability quantifies the chances of an happening event. The probability values always lies in the…

Q: The binomial probability mass function may not require the assumption of independence between events…

A: Given : Binomial probability  mass function :    x follows B(n,p)   if  P(X=x)=nxpx1-pn-x ;…

Q: 3. State and prove the multiplication theorem for two independent random variables. Show that the…

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Q: The binomial probability mass function may not require the assumption of independence between events…

A: According to the binomial assumption, the probability of success always fixed and the probability of…

Q: Big Daddy Company recruits 750 men under the age of 55. Suppose that 45% carry a marker on the male…

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Q: The central limit theorem states that: the probability distribution function of the sum of many…

A: The central limit theorem states that the sampling distribution of sample means follows normal…

Q: Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the…

A: Given, Mean = 170000 standard deviation = 30000

Q: selected at random turns out to be good. Find the probability that a second item of the same lot…

A: Here given, There are two lots of items; it is known that all the items of one lot satisfy the…

Q: Suppose items passed through an assembly line has a 2% defect rate. a. Find the probability that the…

A: From the given information, the defect rate is 2%=0.02. a. Let X be the number of failures until the…

Q: a fair die is rolled three times. what is the probability of obtaining no 2's? P(no 2's on the three…

A: To calculate the probability of the desired event under the given condtions

Q: In a production process defectiveness rate is 0,6 and we assume that inspections are independent.…

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Q: A fair 6-sided die is rolled three times. What is the probability that the sequence of rolls is 6,…

A: The fair 6-sided die is rolled three times.

Q: A sociologist randomly selects single adults for different groups of three, and the random variable…

A: It is given that X denote the number of adults in the group who say that the most fun way to flirt…

Q: The central limit theorem can be used to analyze round-off error. Suppose that the round-off error…

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Q: Assume that the incidence of the HIV virus in a particuar population is 4% and that the test…

A: Let us denote  A= actually has the virus T=tested positive Given that P(A)=4%=0.04 P(T|A)=90%=0.90…

Q: Suppose you roll a special 8-sided die. What is the probability that the number rolled is "1" OR a…

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Q: True or False 1. The sum of the probabilities of all values of the random variable must be equal to…

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Q: random from the production and is found to be defective. What is the probability that it was…

A: Here define events and draw tree diagram  Defective bolt = D  Bolt manufacture by machine A = A…

Q: A security system sets a false alarm with probability 0.1, independently between applications of the…

A: Let us denote X=the number of false alarmsn=Total number of alarms p=probability of success=…

Q: Is hoticed that the probability that the test detects an infected = 80%. Use Baeye's rule to…

A: Given probabilities are : P(system is infected)=0.60P(test detects an infected system)=0.90P(test…

Q: A balanced die is rolled 3 times. Let x1 be the number of times 1 appears and x2 be the number of…

A: GivenA dice is rolled three times.X1 be number of times 1 appearX1 =0,1,2,3X2 be number of times 2…

Q: The probabilities that a patient will have 0, 1, 2, 3, or 4 medical tests performed upon entering…

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Q: a) The probability of rolling a sum not more than 7 is (Type an integer or a simplified fraction.)

A:

Q: Part 2: A website reports that 70% of its users are from outside a certain country. Out of their…

A: Let S denote the sample space of events X and F. then note that S =F U F and X=X ∩ S Then ,  X…

Q: Find the expectation of a discrete Random variable whose probability function is fx (x) = for x I,…

A: Answer: Using the given data, We get,

Q: probability lies between?

A: Probability

Q: Part 2: A website reports that 70% of its users are from outside a certain country. Out of their…

A: Probability of an event is computed by taking the ratio of number of favourable outcomes to total…

Q: The time between arrivals of customers at an automatic teller machine (ATM) is an exponential random…

A: Given problem Given that   The time between arrivals of customers at an automatic teller machine…

Q: You roll a fair six sided die 10 times. What is the probability that you rol a 1 exactly two times…

A: This is a problem of counting and it involves concept of probability.

Q: Define Probabilities and Moments of Continuous Random Variables?

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Q: A local cab company maintains a fleet of 10 cabs. Each time a cab breaks down, it isrepaired the…

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Q: Calculate the probability of committing a Type I error ? Find the power of the test as a sum of…

A: The type I error is defined as rejecting the null hypothesis when actually it is true. And the power…

Q: An um contains 9 orange balls and 8 red balls. If Juan chooses 5 balls at random from the um, what…

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Q: The table summarizes results from 986 pedestrian deaths that were caused by automobile accidents.…

A: Solution: 2. The given table of data is