А.Identify if the following are valid probability distributionsfor a discrete randomvariable X.a.X30.44P(X)0.10.5b.14.16P(X)0.400.50-0.100.20C.-2-11P(X)0.150.250.100.50d.14P(X)525e.413.P(X)361836125S315215

We have given that Probability distribution for discrete. Condition for probability distribution…

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A First Course in Probability (10th Edition)

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Author:Sheldon Ross

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Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The joint distribution of the pair of random variables as given in the following table: 0 Y 1 2 -10 X 0 10 0.2 0.1 0 0.066 0.046 0.052 0.072 0.042 O No answer 0.1 0.2 0 0.1 0.1 0.2 A random sample of 4 is taken of the random variable X. What is pZX₁/425? (EX//425) ²
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МАТH1208 QUESTION 2 А. The table below shows the probability distribution of the likelihood of the number of SUVS in a household in Forest Hill, St Andrew. Number of 2 3 SUVS (x) P(X = x) 0.05 0.12 0.60 0.20 Find: i. The value of 'c' ( the probability of 4 SUVS in a household) ii. The expected value [E(X) ], the mean value of SUVS in a household iii. The variance iv. standard deviation of SUVS in a household
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Suppose a random variable x is best described by a uniform probability distribution with range 0 to 5. Find the value of a that makes the following probability statements true.
An individual who has automobile insurance from a certain company is randomly selected. Let Y be the number of moving violations for which the individual was cited during the last 3 years. The pmf of Y is given. y 0 1 2 3 p(y) 0.60 0.20 0.15 0.05 (a) What is the probability that among 25 randomly chosen such individuals, at least 15 have no citations? (Round your answer to three decimal places.) (b) What is the probability that among 25 randomly chosen such individuals, fewer than half have at least one citation? (Round your answer to three decimal places.) (c) What is the probability that among 25 randomly chosen such individuals, the number that have at least one citation is between 10 and 15, inclusive? ("Between a and b, inclusive" is equivalent to (a ≤ X ≤ b). Round your answer to three decimal places.)
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Identify if the following are valid probability distributions for a discrete random variable X. a. 4 P(X) 0.4 0.1 0.5 b. X 1 4 9. 16 P(X) 0.40 0.50 -0.10 0.20 C. -2 -1 1 P(X) 0.15 0.25 0.10 0.50 d. 2 1 4 P(X) 25 е. 2 1 4 3. 7 P(X) 36 6. 18 36 12 315 125