Let X- the time between two successive arrivals at the drive-up window of a local bank. If X has an exponential distribution with A = 1, (which is identical to a standard gamma distribution with a 1), compute the following. (If necessary, round your answer to three decimal places.) (a) The expected time between two successive arrivals (b) The standard deviation of the time between successive arrivals (c) P(X ≤ 1) (d) P(3 ≤x≤ 5) You may need to use the appropriate table in the Appendix of Tables

Q: a. 240 or 6 also you cannot repeat the digit -digit numbers can be formed from the digits…

A: It is given that P(A) = 0.3 then P(A') = 1 - 0.3 = 0.7 P(B) = 0.2 then P(B') = 1 - 0.2 = 0.8 P(C) =…

Q: 3- If f(x) = is the probability density function for a random variable that can take on the values x…

A: Given that  Probability mass function of X is  f(x) = k / 2x  , x = 0 , 1 , 2 , 3 , 4

Q: The mean weight of 15-year-old males is 142 pounds, and the standard deviation is 12.3 pounds. Find…

A: 1) We have given that Mean(µ) = 142Standard deviations (σ) = 12.3X ~ N (µ, σ )= N(142 ,12.3)

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A:

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A: From given data we have : no, of red balls = 6 no. of white balls = 4

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A:

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A: Equally likely events:   The two events are said to be Equally likely event if every event has the…

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A: Given: There are now three paths to choose from. If he chooses the first path, he can escape after…

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Q: What is the probability of a standard dice roll being even or prime? 5/6 O 7/6 1/6 1/2

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Q: If the random variable X has the pelf Find a) P(-1 ≤X <14) X 20) b) E(X(2-3X)) f(x)=(X-31/10),…

A: Solution is given below

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A: Expected value is the combined value of random variable with its corresponding probability value.…

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A: The z score values are 0 and 2.74.

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Q: The average retail price of gasoline (alltypes) for the first half of 2005 was 212.2 cents. What…

A: sorry sir, i can gives 2 question at time  by bartleby policy i can gives only 1 answer at a time

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A: Cumulative density function is used to determine the sum of the probability value. Probability…

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Q: ement from the box. The probability that the third red ball is the seventh ball drawn is. balls and…

A: It is given that  Red balls = 13 Blue balls = 7 Total balls = 20

Q: 12. From each penalty Christiano Ronaldo takes, he has a 95% chance of scoring. What is the…

A: As per bartleby guidelines we can solve only first question and rest can be reposted

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A: Let, random variable X be the actual pressure for the right tire and random variable Y be the actual…

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A: given data exponential distribution μ = 2.465 hours∴ λ = 12.465x = duration of rain fall in hours

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A: Given Information: There are 50 men i.e., N=50 30% carry a marker on the male chromosome so, p=0.30…

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Q: a. A coin was flipped three times. Let T be the number of tails that occur. T P(T) 3 2 1 0

A: As per bartleby guidelines we can solve only first question and rest can be reposted

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A: we have to find  how many squares of all sizes in 8*8 chess board ;

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A: For a straight line, the number of ways if arranging n things, people or elements is n! For a…

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A: Stratified sampling: When the units in the population are divided into subgroups and then the sample…

Q: Compute the following probabilities using the life table below: Age (x) 42 43 44 45 46 47 1₁ 10000…

A: Formulas: qtx=1-lx+tlxqt|ux=qt+ux-qtx a) q9|445=q9+445-q945           =q1345-q945…

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A: Let us define some events A : a package is inspected by James. B : a package is inspected by Jessie.…

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Q: (d)    P(A1 ∩ A2 ∩ A3 | A1 ∪ A2 ∪ A3)

A: First 3 parts has already been answered i have to solve part(d) only of this queue in We have to…

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A: Given data Event  A : dates was not correct B: james stamps date P(B) = 0.20   P(A|B) = 1/200 C:…

Q: ) Show that = ₁₁X₁ is the maximum likelihood estimator of the parameter 0. Zi=1

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A: Discrete data  Discrete data set is the data in which value is countable and finite.   Example…

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A: Given: fx=x218    -3&lt;x&lt;3

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A: Given that there is a 6-on-6 dodgeball game , total 12 players. After the game, each player shakes…

Q: In how many ways can we select 5 people out of ?10, of which a particular person is not included 965…

A: Given, there are 10 people and 5 are selected.but a particular person is not included.

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Q: Use the basic probability principle to solve the following problem. Express each probability as a…

A: Given that  A 12 sided die is rolled  Sample space = S = ( 1 ,2 ,3 ,4 ,5 ,6 ,7 ,8 ,9 ,10 ,11 ,12 )…