Exercise 6.1 The sick-leave time of employees in a firm in a month is normally with a mean of 100 hours and a standard deviation of 20 hours. Find the probability that the sick-leave time of an employee in a month exceeds 130 hours.

Q: Conditional probability distribution Y given that X = 0.5 S(x, y) y -1.0 1/3 -0.5 -1 1/6 0.5 1/6 1.0…

A: Given that,

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A: Probability density function:The Probability Density Function(PDF) defines the probability function…

Q: Then P(X > -2) is:

A: Here use givens probability distribution table for answer the question

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Q: Let X be a random variable with probability distribution as shown below: -1sxs2 S(x)={3 and g(X)=4X…

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Q: the moment generating function of the random variable is always exist

A: The moment generating function of a random variable x, Mx(t) always exists. or not?

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Q: Conditional probability distribution X given that Y = 1 y f(x, y) -1.0 -2 1/4 -0.5 -1 1/2 0.5 1 1/8…

A: Given data :

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Q: A continuous probability distribution has density f(x) = Ja(b –x)² , 0 SxSb otherwise If the mean of…

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Q: WITH COMPLETE SOLUTION A six-sided die is rolled 15 times. What is the probability of getting value…

A: Given that ; A six sided die is rolled the probability of the value 5 comes = 1/ 6  Sample size (n)…

Q: A continuous probability distribution has density f(x) = {a(b- x)² , 0<xsb 0, otherwise If the mean…

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Q: Conditional probability distribution Y given that X = 0.5 y f(x, y) -1.0 -2 1/3 -0.5 -1 1/6 0.5 1…

A: Answer - Given table x y f(x,y) -1 -2 1/3 -0.5 -1 1/6 0.5 1 1/6 1 2 1/3  Find  fyxy =…

Q: A random variable X has the following probability distribution function: Fx (1) = {1-e-0.5² if x ≥ 0…

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Q: Central Limit Theorem with Propotion  A researcher believes that 9% of males smoke cigarettes. If…

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Q: Please show clear and complete solution! 30 Minutes left

A: Given fxy(x) = fxY (X, 1) /fy (1)

Q: Let X₁,..., Xn be a random sample from an exponential distribution with the probability density…

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Q: X Let the probability density function of the random varibe be as follows o x>0, e>O %3D Firstly x…

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Q: Homework: find P(1), P(3), P ( 4), P(5). P(O)

A: the given values are n=5 p=0.67 q=(1-p)=0.33 X ~ Binomial(5,0.67) calculate x=0,1,2,3,4,5 the p.m.f…

Q: Probability Model If the probability density of a random variable is given by F(x)= x, 2-x,0 for…

A:

Q: Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3…

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Q: with probability in a period independently. • What is the probability that the person ever goes…

A: Given Solution:

Q: A continuous probability distribution x is uniform over the interval (0, 1) U (2,4) and is otherwise…

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Q: Determine the value c so that each of the following functions can serve as a probability…

A: NOTE: Refresh your page if you can't see any equations. . as we know, the sum over the entire range…

Q: A certain auto dealer only sells cars that are between 4 and 13 years old. Their ages follow a…

A: A random variable XU(4,13)f(x)=f(x)=

Q: You arrive at a bus stop to wait for a bus that comes by once every 30 minutes. You don't know what…

A: Given,A random variable X~U(0 , 30)f(x)=130   ;   0≤X≤30

Q: Q and R are independent events. P(Q) = 0.68 and P(Q and R) = 0.29. Find P(R). (Round to 4 decimal…

A: Given that  P(Q) = 0.68 , P(Q and R) = 0.29 Q and R are independent

Q: 1. (a) (b) When a hand of 5 cards is dealt from a standard deck of 52 cards, what is the probability…

A: NOTE: Hi there! Thanks for posting the question. As per our guidelines, we will solve the first…

Q: 3. Suppose that X has a Poisson distribution with h = 80. Find the probability RCX< 70) based on the…

A: Given that, h= 80  It means that  Mean= 80 which is greater than 10. So normal approximation is…

Q: Calculate P(FIE), if P(E|F) = 0.72 P(E) = 0.9 P(F) = 0.57 Round your answer to five decimals.…

A: Given that P(E/F)=0.72 , P(E)=0.9 and P(F)=0.57 We know that  P(E/F)=P(E∩F)P(F)or, 0.72…

Q: The probability mass function of a random variable J is given as where J = {-1,0, 1} 8 f) = 0, Is…

A: Given probability mass function: fJ=J22-J8,   J=-1,0,1 The cumulative distribution of J is:…

Q: 2 Maximum Likelihood Suppose we have n i.i.d (independent and identically distributed) data samples…

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Q: Question Consider the probability density function for a random variable X, given by for 0 < x < 5…

A:

Q: In each case, determine the value of the constant c that makes the probability statement correct.…

A: Z be the standard normal distribution Z~N(0,1)

Q: Consider the function f (x) = Osxs3} = {2- }x 3sxs4} %3D %3D {0 otherwise} Calculate P( 2 sXs4)

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Q: Conditional probability distribution Y given that X = 1 f(x, y) 1/3 y -1.0 -2 -0.5 -1 1/6 0.5 1 1/6…

A: Solution-: We have following table: X Y f(x,y) -1 -2 1/3 -0.5 -1 1/6 0.5 1 1/6 1 2 1/3…