4 A random variable X has the probability mass function P(x) described in the table. 1 3 4 P(x) | 0.10 0.30 0.45 0.10 k a Find k. b Find P(X > 3). c Find the mode of the distribution. d Find the expected value E(X) for the distribution.

Q: The probability distribution function of the maximum annual wind speed v is given by: 101 with y=9.0…

A: Given the probability distribution function of the maximum annual wind speed v is FVv=exp-vVc-γ with…

Q: Consider the joint probability distribution below. Complete parts (a) through (c). Y Y 0 1 0 1 Pw…

A: Given that: Joint probability distribution:     X     1 2 Y 0 0.30 0.10   1 0.40 0.20

Q: The probability distribution of a discrete random variable X is given below. Value x of X P(X=x) -1…

A:

Q: P(x) 0.05 0.1 2 0.3 3 0.55 Find the standard deviation of this probability distribution. Give your…

A: Given: x P(x) 0 0.05 1 0.1 2 0.3 3 0.55

Q: For the cumulative distribution function, find a. U b. P(x> 2) c. F(x= 6) d. P(x = 6) e. f(x = 4) f.…

A: The cumulative distribution function:

Q: find THE test statistics value  FOR  TWO TAILED TEST  SAMPLe sixe 26 and level of significance is…

A:

Q: 6) (13 points) The random variable X has the following probability density function: x 1x(x)=2 0,…

A:

Q: Random variable X has the following probability mass function: P(X=x) = (x+1)/12 for x = 0, 1, 2, 5.…

A:

Q: A distribution sometimes used to model the largest item in a sample is the extreme value…

A: Solution: a. From the given information, b.

Q: The probability distribution of a discrete random variable X is given below. Value x of X P(X=x) -1…

A: Given : The probability distribution of a discrete random variable X is given below:Let F(X) be the…

Q: A random variable X has the cumulative distribution function as below: Find its mean. 0 -12-²² x² -…

A: Answer:- Given, the cumulative distribution function of X is                F(x) = 0x <…

Q: Random variables Y₁,... Yn follow the probability density distribution | ƒ (v|0) = { ŏ ye y/o 0 y >0…

A: The probability mass function of random variable y is given as:

Q: variable with the following probability distribution. Value x of X P(X=x) 0 0.30 10 0.30 20 0.15 30…

A: From the provided information, The probability distribution is as follow: x P (X = x) 0…

Q: i. If a pair of random variables X and Y have a Bivariate Normal distribution, with u 9, p-5, G1 -…

A:

Q: 16. For the probability density function shown, what is the probability of the random variable æ…

A: To find: The probability of the random variable x being less than 1/3 ?

Q: Let X and Y be the number of tables and chairs in an office. p(x, y) of X and Y is given in the…

A: From the given information, the joint density for X and Y is,   y=0 y=1 y=2 y=3 x=1 0.05 0.06…

Q: None

A:

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!