Given the following probability distribution, what is the expected value of the random variable X? P(X) 100 .10 150 .20 200 .30 250 .30 300 .10 Sum 1.00

Q: Match the following: A probability distribution for a random variable X: -3 0 0.15 0.20 X P(X=x) ✓…

A: X-8-3-10146P(X=x)0.130.150.170.200.150.110.09

Q: For the given probability distribution, find the missing value ?? x p(x) 0 0.03 1 0.34 2 0.27 3 ??

A: x p(x) 0 0.03 1 0.34 2 0.27 3 ? Conditions for the discrete probability distribution:…

Q: Ted is not particularly creative. He uses the pickup line​ "If I could rearrange the​ alphabet, I'd…

A: Given that  Probability distribution  X 1 2 3 4 5 P(X) 0.002 0.028 0.137 0.202 0.332   We…

Q: Given the following probability distribution:      X      P(X)      10    0.1      20    0.4      30…

A: Given data and calculation for the expected value is shown

Q: Calculate the mean (expected value) for the discrete probability distribution shown here. (Answer 2…

A: Given the table for the discrete probability distribution. -3 0.08 -0.24 5 0.2 1 7 0.32…

Q: The daily earnings X of an employee who works on a commission basis are given by the following…

A: Given data: x 0 25 50 75 100 125 150 P(X=x) 0.06 0.12 0.17 0.14 0.28 0.17 0.06

Q: Assume that 12 jurors are randomly selected from a population in which 73% of the people are…

A: The randomly selected juniors, The probability of success is 73% .The probability distribution table…

Q: Given the following probability distribution:      X      P(X)      10    0.3      20    0.1…

A:

Q: The random variable x is the number of houses sold by a realtor in a single month at the Sendsom's…

A:

Q: The following table presents the probability distribution of the number of vacations X taken last…

A: From the provided information, The table is as follow: x 0 1 2 3 4 P(x) 0.15 0.61 0.11 0.1 0.03

Q: The table below shows the probability distribution for X, the number of daily coffee breaks taken…

A:

Q: the probability distribution of the number  of motorcycles owned by a family(x) is as follows x 0 1…

A: It is given that the probability distribution of the number of motorcycles owned by a family.

Q: Below is the probability distribution for number of children a person has in a specific town. x…

A:

Q: Given the following probability distribution, what is the expected value of the random variable X?…

A: The probability distribution table is,

Q: Is the following a valid probability distribution? Why or why not? X 0 1 2 3 4 P(X) .18 .3 .03 .2…

A: X 0 1 2 3 4 P(X) .18 .3 .03 .2 .29

Q: The daily earnings X of an employee who works on a commission basis are given by the following…

A: Given data is  x(in $) 0 25 50 75 100 125 150 P(X=x) 0.08 0.12 0.17 0.14 0.28 0.17 0.04

Q: Consider the following discrete probability distribution.   x −20 −5 10 20 P(X = x) 0.44 0.18…

A: a. Define the probability distribution p(x) for random variable x. The probability distribution p(x)…

Q: Find the expected value of the following probability distribution. Round to the nearest tenth.

A: From the given: X P(X) X·P(X) 1 1/2 1/2 2 1/3 2/3 3 1-1/2-1/3=1/6 1/2

Q: Is the following probability distribution a valid probability distribution? Select one: A. Yes B.…

A: Given the probability distribution table: x -4 4 6 8 p(x) 0.2 0.15 0.45 0.3 Conditions for…

Q: Consider a random variable with the following probability distribution:  X          P(X) 0…

A: The table shows the probability distribution of X.

Q: Calculate the expected value for the following probability distribution: X 1 2 3 4 3.00 2.45 11.00…

A: The given probability distribution is:XP(X)10.1520.3530.440.1For the discrete random variable, Xi…

Q: Find the value of the following binomial probability distribution. Leave the answer as a number…

A:

Q: Compute the mean and variance of the following probability distribution. (Round your answers to 2…

A: Given, X P(X) 2 0.10 4 0.20 6 0.30 8 0.40

Q: Consider the following discrete probability distribution. X -30 -20 P(X= x) 0.60 0.09 a. Complete…

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

Q: the following probability distribution, what is the expected value (or mean)of X?…

A: To find the expected value (or mean)of X for the given probability distribution…

Q: The probability distribution for damage claims paid by the Newton Automobile Insurance Company on…

A: Given that, The probability distribution for damage claims by the Newton Automobile Insurance…

Q: Q2. The following table lists the probability distribution of the number of patients entering the…

A:

Q: In a certain town, 20% of adults have a college degree. The accompanying table describes the…

A:

Q: Consider the following probability distribution for a random variable X X           3          4…

A: The objective of the question is to understand the given probability distribution for a random…

Q: Consider the following probability distribution: P(X) 1 0.1 ? 0.2 4 0.3 What must be the value of…

A:

Q: Consider the following discrete probability distribution. 5 10 15 20 P(X = x) 0.12 0.41 0.30 0.17…

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!