Date No. Answer the Following using the giuen discrete probability distribution P(xz2) 3 14 2 Pos 'n 317 279

Q: If the random variable z has a standard normal distribution, sketch and find each of the following…

A: We have to find given probability by using z score table..

Q: P(x 5. Р(х < 4) 6. Р(х < 4)

A: We have to compute the required probabilities for the random variable whose probability distribution…

Q: 5. If P(A) = 0.6, P(B) 0.4, and P(An B) = 0.3, determine the following probabilities. each): (a)…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: 3. Consider a Exponential Distribution with parameter of 0.0025 i.e. Exp(0.0025) B. Compute The…

A:

Q: The probability distribution of the discrete random variable X is given below. 3 5 3 -(u)()(%). 8 8…

A: The discrete random variable X is given as:

Q: 1. Solve for the mean, variance and standard deviation of the following probability distributions.…

A: A discrete random variable has a countable number of possible values with respective probabilities.…

Q: The table below shows the frequency distribution for the ages of women who became mothers during one…

A: Solution : a.  C b.  Yes

Q: 6.24 If the random variable z has a standard normal distribution, sketch and find each of the fo…

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Q: c) The yearly insurance claims for car insurance of the ith customer is denoted by X₁. We assume X₁,…

A: We can model the total yearly claims as a random variable Y, where Y=X1+X2+...+X10000. By linearity…

Q: Question * Given the following discrete probability distribution: -2 1/8 fx) 2/8 2/8 2/8 1/8 Then…

A: We have given that the discrete probability distribution with X has -2, 0, 1 and 2.

Q: red Probability 0.12 Outcome orange 0.3 (a) Find P({green}). (b) Find P({orange, yellow}). (c) Find…

A: a) p(green) = 1 - P(red) - P(orange) - P(yellow) - P(blue)                     = 1 -…

Q: From past observations, it has been determined that the distribution of cell sizes (in nanometers)…

A: a). Calculate the CDF of the cell size. Given Information: The probability distribution function of…

Q: Suppose Y ~ Uniform(01,02) where the parameters 01 and 02 take the values -4 and -3 respectively.…

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Q: Suppose you have a coin which is rigged so that the probability of tossing a head is 1/4. You toss…

A: The number of times the coin is tossing, The probability of tossing a head,

Q: 2. A discrete random variable X takes all positive integer values {1, 2, 3, 4,...) and has…

A: F(K)=1−13k

Q: Determine the probability of a yen win for one ticket

A: here given,  Lottery tickets issued for a total of 10,000 y.e. Ticket price 0.5 c.u. means that…

Q: A convenience store has two separate locations where customers can be checked out as they leave.…

A: Given that g(x) be the marginal density of X.h(y) be the marginal density of Y.

Q: 1 3 4. P(x) k 2k 0.15 0.2 0.05 Find the value of k. • 1 • 0.3 • 0.6 • 0.2 2.

A: Given:  xi 0 1 2 3 4 Pxi k 2k 0.15 0.2 0.05

Q: The average lifespan of a CleanFreek dishwasher is normally distributed with a mean of 9 years and a…

A: From the information, given thatLet X denotes the lifespan of the CleanFreek dishwasher which…

Q: 12 If a probability or 2 place decimal li ke area is found to be 0.77 0.7330, what is the z Score

A: Given: Probability or area is found to be 0.7330 To find the z-score: Using standard normal table,…

Q: The joint probability function for X and Yis given below. E(2X + 3Y) is 1. 0.25 0.35 0.23 0.17

A: We have given that the joint probability distribution of X and Y.

Q: The unfair coin. A slightly unfair coin comes up heads 51% of the time when tossed. (c) What is the…

A: Let X be the random variable representing the number of heads. And the success of a trial is defined…

Q: *The probability function of X random variable is given as, f(x) = cx² , Dx ={-2,2,3} 1.c =? 2. P(0…

A: To find the value of c we will use the fact that the summation of f(x) over entire range is always…

Q: For number 5: Based on a hamster breeder's experience, the number of live pups in a litter of a…

A: Given prob. distribution is X=x 3 4 5 6 7 8 9 P(X=x) 0.04 0.10   0.31 0.22 0.05 0.02

Q: 4.2 The probability distribution of the discrete ran- dom variable X is 3-a f(x) = , r = 0, 1, 2, 3.…

A: Given : , x = 0,1,2,3

Q: You repeatedly roll a biased die, where, on any given roll, the probability of each outcome is(pi:…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: a) The discrete probability distribution is given by 0 1 2m X P(X = x) m i. ii. iii. Calculate…

A: From the provided information, x 0 1 2 3 P (X = x) m 2m 3m 2m

Q: The probability that you will receive a wrong number call this week is 0.1. The probability that you…

A: From the provided information, Let A represent the event that he will receive a wrong number call…

Q: Write down the formulas of the Bernoulli, Binomial, Uniform, Exponential, and Poisson distributions

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Q: A coin which has probability 0.56 of coming up Heads is tossed three times. Let ?Y be the number of…

A:

Q: Calculate the probability for the following problems (Please keep 4 decimal places). 1. P(z>-1.94) =…

A: Given problem Given that   1)   P( z&gt;-1.94 ) P( z&gt;-1.94 ) = 1 - P( z&lt;-1.94 ) Using the…

Q: The probability that A will solve a problem is 1 and that B will solve is What is the probability…

A: Introduction :

Q: 2. At the bank teller there are two agents. At agent 1, the time to complete service in minutes…

A: Given that the time to complete service in minutes for two bank teller agents distributed as Agent…

Q: 10) Joint probability distribution of X and Y are given. Give E(Y). XIY 0 2 Pi -1 0.2 0.3 ? 2 0.4…

A: Given, XY  0  2 pi -1 0.2 0.3 0.5 2 0.4 0.1 0.5 qj 0.6 0.4 1.0

Q: 12. Suppose that it is known from large amounts of historical data that X, the number of cars that…

A:

Q: 14:13. Four fair coins are tossed. X is the number of heads that occur. (1) Find the probability…

A: Discrete Random Variable: A discreate random variable is a variable whose values can be obtained by…

Q: 1. Which of the following probability distributions can be used to describe the distribution for a…

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Q: 0.24, P(B) For events A, B and C we have that P(A) 0.26, P(ANB) = 0.05, P(An C) = 0.05, P(BNC) =…

A: P(A) = 0.24 P(B) = 0.26  P(A∩B) = 0.05P(A∩C) = 0.05P(B∩C) = 0.05P(A∩B∩C) = 0.02P(A∪B∪C)' = 0.33P(C)…

Q: d. According to Chebychef's rule, what is the smallest probability a random x will within 2 standard…

A: Given that   X ~ Uniform (0 , 10)

Q: If the following table represent a probability distribution with an expected value of 9. P(x) 2a 4a…

A:

Q: 1.1 In the single-variable case, we saw that the probability function for a discrete random variable…

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: = cx and 0<X <4, dd: 0 is a continuous probability distribution, * which of the following options is…

A: We have to find correct answer from given options...

Q: What is the probability that a computer bug appears at most two times in a day?

A:

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: Find the probability that in Family of y children will least (1) boy - probability male birth is…

A: Solution : Probability of at least one boy = 1- probability of 0 boys. probability of 0 boys =…

Q: Use the given information to find the indicated probability. P(A) = 0.70. Find P(A'). P(A') =

A: Given P(A)=0.70

Q: Let x denote the distance (m) that an animal moves from its birth site to the first territorial…

A: (b) The value of mean is obtained below: From the given information,  Let x be the exponential…