Define and explain conditional probability mass function. Give its properties.

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: What do you mean by cumulative probability function?

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Q: The probabilities for a discrete probability function all fall between which two values? 0.5, 1 0, 1…

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Q: A single die is rolled twice. Find the probability of rolling a5 the first time and a1 the second…

A: Given that single die is rolled twice. The possible out come of first roll is 16. The possible out…

Q: A life insurance salesman sells on the average 3 life insurance policies per week. Use Poisson's law…

A: Given : Poisson Distribution Let x is the number of policies sold per week μ=3 per week

Q: The probability that a car will arrive at its destination is uniformly distributed from 30 minutes…

A: here given, car will arrive at its destination is uniformly distributed from 30 minute to 50 minute…

Q: A single die is rolled twice. Find the probability of rolling a2 the first time and a3 the second…

A: Given That: A single die is rolled twice.

Q: In a charity lottery, 1,000 tickets numbered 000, 001,...,999 are sold. Each contestant buys only…

A: Given : 1000 tickets numbered 000,001,....,999 let X be the number of prize winners. X takes values…

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: ecause all airline passengers do not show up for their reserved seat, an airline sells 125 tickets…

A: Let X be the random variable of number of people who do not show up for flight ( out of total 125…

Q: A probability exxperiment consist of rolling a 6- sided die. Find the probability of the event…

A: Solution: If a 6-sided die is rolled, then the sample space is Probability of obtaining any number…

Q: A study by a federal agency concludes that polygraph tests given to truthful persons have…

A: It is given that the probability of deceptive by the machine is 0.2 and the test is conducted on 12…

Q: Professor Yang surveys her students and concludes that 30% is the probability that a student has…

A: The probability that a student has passed at least one AE based on Prof. Yang's analysis is =p=0.3 Y…

Q: 6. Three fair dice are rolled. Find the probability mass function of the product of the three…

A: Given that :  Three fair dice are rolled. Find the probability mass function of the product of the…

Q: . The failure of power transformers is assumed to follow Poisson probability distribution. Suppose…

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Q: A point is selected uniformly at random on a stick. This stick is broken at this point. What is the…

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Q: whether they arrive on time. (a) Find the probability that exactly 12 flights arrive on time. (b)…

A: Let , X be the number of flights arrive on time. Here , X→B(n=20 , p=0.80) The probability mass…

Q: An assembly consists of two mechanical components. Suppose that the probabilities that the first and…

A: Let X be the random variable denotes the number of components that meet the specifications X takes…

Q: a) An assembly consists of three mechanical components. Suppose that the probabilities that the…

A: Provided information is, An assembly consists of three mechanical components. Suppose that the…

Q: raph of the discrele probability to the right represents the number of live births mother 47 to 52…

A: From the given information we find the solution.

Q: (a) Find the probability that a randomly selected student is male, given that the student received a…

A: Given, The contingency table is,   Business degrees Non business degree Total Male 197056…

Q: According to survival probability tables, the probability that an 80 year old male living 1…

A: The probability that an 80 year old male living 1 additional year is 0.93, then the probability that…

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: A die is rolled 15 times. Calculate the probability that 6 appears exactly three times. 0.236 O…

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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: d. Draw the Probability Mass Function Plot.

A: A random variable can take only a finite number of values in the interval is known as discrete…

Q: Write down the probability function for your answer in a.) mass

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Q: What is a cumulative probability function and the derivative

A: Solution

Q: 10. A fair coin is flipped four times. Let X be the number of times that heads is followed…

A: Sample Space: In probability theory, a sample space is defined as the set of all possible outcomes…

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: As an added incentive for students to do homework for their probability course, the professor…

A: Given,  Total number of students n=20 Number of students who have not done the homework X=5 The…

Q: Show that B, 21. 21. 2.

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

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Q: A probability experiment consist of rolling a 6-sided die. Find the probability of the event below…

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Q: Weekly activity (WEEK2) Show that each of the following is a probability mass function. 4. P(X = x)…

A: Given that  Probability mass function of X is  P(X=x)=x2/91   , x€(1,2,3,4,5,6)              = 0…

Q: According to a survey, the probability that a randomly selected worker primarily drives a van to…

A: Hello, since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: You have a collection of 15 phone cords, 4 of which work to charge your current phone and 11 of…

A: There are 15 phone cords.  4 of which work to charge your current phone and 11 of which are either…

Q: The exponential distribution function describes the probability that an event occurs a given number…

A: Given the statement that "the exponential distribution function describes the probability that an…

Q: (a) Find the probability that a randomly selected worker contributes to a retirement savings plan at…

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Q: It is the probability distribution that is used to define the time between two successive events…

A: Exponential distribution: It is a continuous probability distribution in which continuous events…

Q: Calculate each Poisson probability: a. P(X= 6). A = 7 (Round your answer to 4 declmal places.)…

A: here we need to solve three probabilities of Poisson distribution

Q: TEL CEL LO Cards are selected at random and with replacement from an ordinary deck of 52 cards.…

A: Let p be the probability of getting Ace. Then p = 4/52 = 1/13 Given that X : number of trials to get…

Q: Golfers arrive at the starter's booth of a public golf course at a rate of 8 per hour during the…

A: Given: Arrival rate λ = 8 per hour. t = 15 minutes Formula Used: P(n arrivals at time t) = λtne-λtn!

Q: Compute the following conditional probability. (Enter your probability as a fraction.)

A: P(A) = n(A)/n(S) P(A) is the probability of an event “A” n(A) is the number of favourable outcomes.…

Q: An exponential probability distrubution has a lambda equal to 24 customers per hour. What is the…

A: From the provided information, λ = 24 customer per hour The mean arrival time can be obtained as:

Q: a) An oil company conducts a geological study that indicates that an exploratory oil well should…

A: For Part a] : Provided information is ; X is geometric random variable, since we are only looking…

Q: Calculate each Poisson probability: (a) P(X=2), A= 0.10 (Round your answer to 7 decimal places.)…

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Q: Find the probability that the hitter makes 10 outs in 10 consecutive​ at-bats, assuming​ at-bats are…

A: Given, that the hitter makes an out 68% of the time. i.e. the probability that the hitter makes an…

Q: Calculate the values of the probability distribution function of X, i.e. the function py. First,…

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Q: A life insurance salesman sells on the average 3 life insurance policies per week. Use Poisson's law…

A: Solution-: We have given that a life insurance salesman sells on average 3 life insurance policies…