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: What is the expected value (mean) of X?

A:

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: Find the expected value for the following probability distribution: X 5 10 15 20…

A: Answer: From the given data, X     : 5     10   15   20 P(X) : 0.3  0.1  0.4  0.2

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: The random variable X has the following probability distribution. Calculate the mean, variance,…

A: Given data is x 1 2 3 4 5 P(x) 0.6 0.2 0.1 0.3 0.1

Q: The owner of a local movie theater keeps track of the number of tickets sold in each purchase and…

A:

Q: Senior high school students are randomly selected to gather data on the hours spent per day playing…

A: Given that: Probability distribution of X: Length (in hours) Probability 0 0.012 1 0.062 2…

Q: Find the expected value for the following probability distribution: X            0    5     10  15…

A: X            0    5     10  15 P(x)     0.2 0.3 0.25 0.25

Q: The following table provides a probability distribution for the random variable x. 1 2 0.18 0.2 0.25…

A: In the given probability distribution, one value is missing. Let that be x For a valid pdf, the sum…

Q: Find the value of ? that will make the above distribution a probability distribution

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

A: The given table shows the variable X and its probability P(x).

Q: 11. Find the expected value for the following probability distribution. P(x) 0.10 0.15 0.30 0.20…

A: From the provided information, The probability distribution table is as follow: X 1 2 3…

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: A market research team compiled the following discrete probability distribution on the number of…

A: Given that, Probability distribution table is given.

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: A random variable x has a standard normal probability distribution.  Which of the following…

A: Given that a random variable x has a standard normal probability distribution.

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

A: Given probability distribution is:

Q: 1 3 4 P(x) 0.02 0.07 0.22 0.27 0.42

A: In these questions, we have given that the  a random variable X and corresponding probability of X…

Q: Find the expected value for the following probability distribution X 0 2…

A: Answer: From the given data, The probability distribution is,   X         0      2     4     6…

Q: Find the expectation, variance, and standard deviation of the following probability distribution: x…

A: Expectation=E(X)=∑i(xipi)=-1(0.3)+0(0.1)+1(0.1)+2(0.3)+3(0.2)=1

Q: Find the expected value of the following probability distribution X 2 4 6 8 P(X) 0.2 0.3…

A: Answer: Given probability distribution is, X              2    4    6    8 P(X=x)   0.2  0.3  0.4…

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: 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: et X represent the number of visits to the GP over the last 12 months. From past records of…

A: Expected no. of visits Ex=Σx.Px       =0×0.5+1×0.2+2×0.1+3×0.1+7×0.1…

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

A:

Q: g the number of chocolate bar has the following probability distribution. Compute the mean  x…

A: Given, x 0 1 2 3 4 P(x) 1/10 3/10 3/10 2/10 1/10

Q: Consider the probability distribution shown below. x 0 1 2 P(x) 0.25 0.70 0.05 Compute the…

A: x p(x) 0 0.25 1 0.70 2 0.05

Q: Which of the following is a true(legitimate) probability distribution? X PIX) -1 25 30 1 .15 10 3 25…

A: Conditions of true probability distribution: Total sum of the probabilities is equal to 1. Each…

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!