1. Consider the following probability distribution for the continuous random variable, X. 1 1 4 5 ما c. Find P(X<4) X a. Find P(2 < X < 4) b. Find P(4 < X <5) 5-0.25 (4-2)· 44 =10.3 9 = 0.5 6= 0.25

Q: F. A random variable X has the probability distribution as follows: 1 4 1 P(x) 10 9. 10 33. Find b.…

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: uppose that the joint probability distribution, f(x,y), of the discrete random variables X and Y is…

A:

Q: the probability mass function of a discrete random variable X representing the number of bicycles…

A: Given PMF of X. Now will using this pmf to find required information

Q: (c) P(Z -2.15)

A:

Q: Suppose a random variable x is best described by a uniform probability distribution with range 2 to…

A: As per our guidelines we are supposed to answer only 3 sub-parts of any question so I am solving…

Q: Given a random variable with probability distribution fundtion defined as below: f(x) = 0, otherwise…

A:

Q: Suppose a random variable a is best described by a uniform probability distribution with range 1 to…

A: Given information: The random variable X has uniform probability distribution with 1 to 5. The…

Q: Suppose x is a random variable best described by a uniform probability distribution with c= 15 and d…

A: Given: X  is a random variable best described  by  Uniform  probability distribution with c= 15 and…

Q: If the discrete random variable x have the following probability distribution f(x) = , x=…

A: Given Data: x f(x) x f(x) x2 f(x) 1 1/21 1/21 1/21 2 2/21 4/21 8/21 3 3/21 9/21 27/21 4…

Q: 6. A discrete random variable can assume 5 possible values, as listed in the accompanying…

A:

Q: 5. Calculate the CDF, E(X) and var(X) for a discrete random variable with the following probability…

A: Probability is a branch of mathematics or statistics which basically deals with the chances of…

Q: Suppose that the joint probability distribution, f(x,y), of the discrete random variables X and Y is…

A:

Q: vo random variables X-(-1,0) and Y=(2,3) are equiprobable and independent. Determine the

A: Given that there are two random variables. X=(-1, 0) and Y=(2, 3). Both equiprobable. That is,…

Q: Suppose two independent discrete random variables X₁ and X2. Both follow a discrete distribution…

A: It is given that: PX1=1=PX2=1=p1=0.5PX1=2=PX2=2=p2=0.3PX1=3=PX2=3=p3=0.2 The variables X1 and X2 are…

Q: Suppose a random variable is best described by a uniform probability distribution with range 0 to 5.…

A: X~U [a=0, b=6] For uniform distribution,

Q: A particular telephone number is used to receive both voice calls and fax messages. Suppose that 20%…

A: given data P(incoming call involve fax message) = p = 0.20n = 20 incoming callsx = number of…

Q: Let X be a binomial random variable with parameters n = 20 and p ( p is intentionally not given in…

A: From the provided information, Sample size (n) = 20 Since the value of p is not provided therefore,…

Q: 1. Р(3) 2. Р(1) + P(4) 3. Р(х > 2)

A:

Q: Suppose the random variable X has the following probability distribution -1 1 P(X=x) 0.2 0.3 0.3 0.2…

A: Given data,   1)P(X&lt;2)=?

Q: The discrete random variable X has the following probability distribution: -10 0 10 p(x) 0.20 0.40…

A:

Q: The following table gives the probability distribution of a discrete random variable x. 1 2 3 4 5 6…

A: Given data is x 0 1 2 3 4 5 6 P(x) 0.13 0.18 0.29 0.15 0.13 0.09 0.03

Q: 5. A discrete random variable can assume 5 possible values, as listed in the accompanying…

A:

Q: 3. The discrete random variable Y has the following probability distribution: Y 25 26 27 28 29 P(Y)…

A:

Q: k is a probability distribution 4* Given that p(x) = for a random variable X that can take on the…

A: a) Total probability is always 1. Using that we…

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

A:

Q: 16. A study of freely forming groups in cafes throughout Europe examined the number of individuals…

A: Given the probability distribution of number of individuals in laughing group X is given below: X…

Q: TABLE 13-6 Let X and Y be two random variables each X -1 ! luking three values -1, 0 and 1, and…

A:

Q: 1. A random variable x has the probability distribution as follows: 2 4 P(x) 1/15 k/15 k/5 4/15 k/15…

A:

Q: Let X be a discrete random variable with probability function f(x) = P(X= x) = (1-p)p-2 for x = 2,…

A: a) To find P(X&gt;4), we need to sum the probabilities of all possible values of X that are greater…

Q: 4. Consider the following joint probability distribution of random variables X and Y f(x,y) = (3x –…

A:

Q: Q3. A random variable X is normally distributed with µ=50 and o? = 25 . Find the Probability (a)…

A: Given data,μ=50σ=5