A shipment of 7 television sets contains 2 defective sets. A hotel makes a random purchase of 3 of the sets. If X is the number of defective sets purchased by the hotel, (a) find the probability distribution of X, express it in a table format. Probability distribution of X X P(X) (b) Find the cdf of X. (c) Find the F(X) and Var(X)

Q: Let X refer to the sum of two rolled die. Describe the probabilities of each outcome. If pX(x) is…

A: It is given that x denotes the sum of two rolled dies.

Q: - P(X 1) = - P(2 1) =

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Q: E and F are mutually exclusive events. P(E) = 0.1; P(F) = 0.6. Find P(E | F).

A:

Q: Draw three cards randomly from a standard deck of 52 cards and let x be the number of queens in the…

A:

Q: E and F are mutually exclusive events. P(E) = 0.3; P(F) = 0.2. Find P( E | F )

A: Given data, P(E) = 0.3 P(F) = 0.2  P( E | F )=?

Q: In a particular region, for families with a combined income of $80,000 or more, 20% have no…

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Q: Use the table to find the probabilities for a juice chosen from the shelf at random. P(less than…

A:

Q: Suppose that A and B are independent events such that P(B) = 0.70 and P (B)=0.20. Find P(An B) and P…

A: Given thatA and B are independent events.such that

Q: Match the probability with the calculator command.

A: binompdf(n,p,x)=P(X=x) binomcdf(n,p,x)=P(X≤x)

Q: In a particular region, for families with a combined income of $75,000 or more, 15% of these…

A:

Q: The probability that the project will be finished in 2 days is

A: Here, The table shows the probability distribution of the number of days (x) to complete a…

Q: A student wants to go to the gym, but it hard to find time bètween work and classes. Through…

A: Random variable: A random variable X is a real number that describes the outcome of the random…

Q: a. Using the expected value for f, what is the expected number of times a popper must be pressed…

A: Let p be the probability of getting a 4 or 6.  It is known that the possible outcomes for rolling a…

Q: Let X be a random variable with the following probability values. f(x) = c(1 – 2x2 + x³), x = 0,1,…

A: Let X be a random variable with the following probability values. fx=c1-2x2+x3,    x=0,1,2,3,4,5 a)…

Q: c. Find P(X< 7) d. Find the probability that X takes an even value. e. Find P(3 <X< 10)

A: Total Number of Outcomes = 36 Sample Space for rolling a pair of fair dice -  (1,1) (1,2) (1,3)…

Q: Let F and G be probability generating function ow that FG is also a probability generating function.

A: The probability generating function is defined as,

Q: Suppose that A and B are independent events such that P (4)=0.40 and P(B)-0.70. Find P(ANB) and P…

A: We have given that A and B are independent events.

Q: A student stays at home. Let event N = the student watches Netflix. Let event Y = the student…

A: Result (1)A and B are independent iff P(A and B)=P(A⋂B)=P(A)*P(B)  (2) two events and B are mutually…

Q: Suppose that a pair of fair dice are to be tossed, and let the random variableX denote the sum of…

A: A pair of fair dice to be tossed.The possible outcomes are 62 = 36The sample space is,S={ (1, 1),…

Q: < 400ml 2 400ml total Low sugar available No low sugar 45 35 80 15 105 120 Total 60 140 200

A: We use the given contingency table to find the required probability.

Q: In a school sports day, each student is required to join at least one event. The following table…

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Q: A student stays at home. Let event N = the student watches Netflix. Let event Y = the student…

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Q: Find the probability p() is p.d.f. I (2x+1) 15 x= 1,2,3 Example: p(x)={ elsewhere

A: Solution : Given  :  p.d.f. of X is, P(x)  = 115( 2x+1)          x=1,2,30elsewhere So, probability…

Q: None

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Q: A customs agent discovers 24 identically looking packets of white power in a traveler's suitcase.…

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Q: Contracts for two construction jobs are randomly assigned to one or more of three firms, A, B, and…

A:

Q: D. at least 1 user out of the 15 smartphone users do not upgrade their cell phones every two years.…

A: The given information is that, 57% of U.S. smartphone users upgrade their cell phone every two…

Q: E and F are mutually exclusive events. P(E) = 0.15; P(F) = 0.71. Find P(E | F)

A: According to the provided information, P(E) = 0.15; P(F) = 0.71 Since E and F are mutually exclusive…

Q: Here's a discrete probability experiment: a college instructor keeps track of the number of students…

A: We have given that probability distribution table X P(X) 0 0.25 1 0.15 2 0.25 3 0.25

Q: A student takes a test in which they have to indicate whether each of n statements is true or false.…

A: It is interpreted that each statement has the only option of being "correct" (defined as success) or…

Q: Draw three cards randomly from a standard deck of 52 cards and let x be the number of jacks in the…

A: Suppose a random variable x, defines the number of jacks in the draw.

Q: Use the probability distribution to complete parts (a) and (b) below. The probability distribution…

A: x p(x) 0 0.03 1 0.18 2 0.26 3 0.53

Q: Let the probability function of the random variable X be f(x) = {  x/45 if x = 1, 2, 3, ⋯ ⋯ ,9…

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Q: (a) What is the value of k? (b) Find E(X) and o (X). (c) Suppose the number of events students take…

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Q: A company has seven applicants for two positions: three women and four men. Suppose that the seven…

A: Let X be the number of women chosen to fill the two positions.Given that the company has seven…