If a variable can take certain integer values between two given points, then it is called O a. Probabilistic random variable O b. Continuous random variable O c. Discrete random variable O d. Deterministic random variable e. Uncertain random variable

Q: If a random variable X has mean 3 and variance 4, then E(X² + 3X + 2) is

A: GivenMean=E(X)=3Variance=V(X)=4

Q: Identify whether each of the following is an example of discrete or continuous random variable. 1.…

A: Here we have given the variables, we have to identify whether the variable is discrete or…

Q: Identify the given random variable as being discrete or continuous. The braking time of a car

A:

Q: Show that if X and Y are two discrete random variables (i.e., elementary random variables) then ZX +…

A: The objective of this question is to prove that if X and Y are two discrete random variables, then Z…

Q: a. The time it takes a student selected at random to register for the fall semester. b. The number…

A: As per policy I have calculated 3 parts only identifying given variable is continuous or descrete…

Q: Assume that a random variable X is defined to be -4 if the result is a 1,5 if the result is a 2 or…

A: Given that the variable X is defined to be -4 if the result is a 1, X takes 5 if the result is a 2…

Q: Suppose x is a normally distributed random variable with u= 28 and o = 5. a. P(x 2xg) = 5 b. P(x…

A: Suppose X is normally Distributed Random Variable with mean  μ=28 and Standard Deviation σ=5Given…

Q: Suppose that the genders of the three children of a certain family are soon to be revealed. Outcomes…

A: The genders of three children of a family are to be revealed.  The total possible outcomes are as…

Q: An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of “heads” (h) and “tails” (t)…

A: In this case, the random variable R defines the number of heads.

Q: 3) A discrete random variable X has the following probability distribution: 1 2 4 6. 7 P(X) K 2K 2K…

A: We want to find k, mean and variance.

Q: 1. c) southwestern variable. True False The daily fuel consumption by a fleet of buses serving a…

A: Here we have to check whether given statement is true or false  " The daily fuel consumption by a…

Q: 2. Identify the following variables whether it is a discrete or continuous random variable: The…

A: According to our policy we can answer only first three part for remaining please repost the…

Q: Determine whether the following value is a continuous random​ variable, discrete random​ variable,…

A: a) The time required to upload a fille to      the internet.    A :- continuous random variable.b…

Q: Suppose that X is a N(3,4) random variable and suppose that Y=5X+2. Determine P(Y>18.5).

A: Linear combination of Normal random variables is also follows Normal.

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!