The probability distribution of random variable X is defined as follows:   X 0 1 2 3 4 Probability 0 0.3 0.1 0.3 0.3   Find the expected value and the standard deviation of X.

Q: The probability distribution of a random variable X is given.  x     450     500     500     555…

A: Given Data: x P(X=x) x P(x) x^2 P(X) 450 0.1 45 20250 500 0.2 100 50000 500 0.1 50 25000…

Q: The probability distribution of a random variable X is given. x     −4         −2         0…

A:

Q: A radio station 10 song requests per day. Determine the probability that it receives 18 song…

A: Let X be the number of song requests in a week which follows Poisson distribution with a mean 10…

Q: a Suppose the random variable X follows a normal distribution with mean 30 and variance 81. Then the…

A: Obtain the Z-score for the random variable X equals 40. The Z-score for the random variable X equals…

Q: Find the mean. (Answer in 3 decimal places.) Answer: Blank 1   b. Find the standard deviation

A: It is given that X is discrete random variable. The mean of X is defined as E(X) = ∑x. P(X = x) And…

Q: Calculate ​P(2.5≤x≤4​). b. Determine ​P(x<3​). c. Compute the​ mean, μ​, and the standard​…

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

Q: Consider selecting a household at random in the rural area of a country. Define the random variable…

A: We have given that the probability distribution of X in tabulation form. The random variable is the…

Q: Find the mean, variance, and standard deviation for the probability distribution given below:   X -3…

A:

Q: Using the standard normal distribution, find each probability   P(0 < Z < 1.5) P(Z < 2) P(Z <…

A: a)  The probability is calculated as follows: P(0&lt;Z&lt;1.5) =P(Z&lt;1.5)- P(Z&lt;0)…

Q: The random variable x represents the number of credit cards that adults have along with the…

A:

Q: A probability distribution of the claim sizes for an auto insurance policy appears in the following…

A: Obtain the percentage of the claims within one standard deviation of the mean. The percentage of the…

Q: Find the standard deviation. Houses Sold (x) Probability P(x)

A:

Q: Data were collected from a survey given to graduating college seniors on the number of times they…

A: a.) Probability that a randomly selected student changed his or her major at least once is…

Q: A probability distribution of the claim sizes for an auto insurance policy appears in the following…

A:

Q: A probability distribution of the claim sizes for an auto insurance policy appears in the following…

A:

Q: number of passengers waiting at a bus stop. The table below shows the probability distribution for…

A: It is an important part of statistics. It is widely used.

Q: Calculate the mean, the variance, and the standard deviation of the following discrete probability…

A: Given the discrete probability distribution as follows: x 5 10 15 20 P(x) 0.35…

Q: The random variable X, representing the number of errors per 100 lines of software code, has the…

A: Given:  X 2 3 4 5 6 FX 0.01 0.25 0.4 0.3 0.04   Formula: Meanμ =∑X PX Variancex=∑i=1nX-μ2…

Q: The probability distribution shown below describes a population of measurements. X      |       0…

A: The expected value formula is, EX=∑iXPx In the formula X is random variable, and Px is probability…

Q: The random variable x represents the number of credit cards that adults have along with the…

A: Given data is x P(x) 0 0.07 1 0.68 2 0.21 3 0.03 4 0.01

Q: Find the variance and standard deviation of each probability distribution. a. 2 3 P(x) 0.10 0.45…

A: V(X)=E(X2)-[E(X)]2 Sd(x)=√V(X)

Q: The number of defects per 1000 machine parts inspected Defects 0 1 2 3 4 5   Probability 0.264 0.296…

A: The given probability distribution shows the values of defects (X) and their respective probability…

Q: What is the probability that a randomly selected student changed his or her major at least once?…

A: according to our guidelines, we can answer only three subparts, or the first question and the rest…

Q: A random variable X given in the probability distribution below is the number of persons entering…

A: The random variable X denotes the number of persons entering the bank every hour during a span of…

Q: The probability distribution for random variable X is given in the table below.     X = x   -2 0…

A: Here we need to compute the expected value, variance and standard deviation of the given discrete…

Q: Data were collected from a survey given to graduating college seniors on the number of times they…

A: Given Information: X 0 1 2 3 4 5 6 7 8 P(X) 0.269 0.241 0.149 0.195 0.094 0.031 0.016 0.003…

Q: Find the mean, variance, and standard deviation for the probability distribution given below:   X…

A:

Q: The probability distribution for random variable X is given in the table below. 2 0.15 2 0.15…

A: 1) find expected value μ we need create following table to find expected value μ x P(X=x)…

Q: The discrete random variable X is the number of passengers waiting at a bus stop. The table below…

A: From the provided information, The probability distribution table is as follow: X 0 1 2…

Q: The table below shows the probability distribution of the random variable X. a. Find the mean of the…

A:

Q: The random variable x represents the number of credit cards that adults have along with the…

A: The expectation of a discrete random variable X, denoted by E(X), is defined as a measure of central…

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: The F distribution is constructed as the ratio of two random variables following a ________…

A: We need to find suitable option using concept of F distribution

Q: The discrete random variable X is the number of passengers waiting at a bus stop. The table below…

A: Given that, The discrete random variable X is the number of passengers waiting at a bus stop. X 0…

Q: A random variable X has the probability function as given in the table below.  It is easy to verify…

A:

Q: The random variable x represents the number of credit cards that adults have along with the…

A: The mean is, Ex=∑xPx=0×0.07+1×0.68+2×0.21+3×0.03+4×0.01=0+0.68+0.42+0.09+0.04=1.23 Thus, the mean…

Q: The number of defects per 1000 machine parts inspected Defects 0 1 2 3 4 5…

A: Mean:The mean for the probability distribution is calculated using the following formula:

Q: The discrete random variable X is the number of students that show up for Professor Smith’s office…

A: The expected value of x for this distribution is obtained as follows:…

Q: The probability distribution of number of televisions per household in a small town x 0 1 2 3…

A:

Q: A researcher surveyed the households in a remote area. The random variable X represents the number…

A:

Q: x is a normally distributed random variable with a mean of 7 and a standard deviation of 2. The…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: Who derives the equation of the normal probability distribution function?    a. Abraham de Moivre…

A: We have  the following statement about the Normal distribution.

Q: The number of dogs per household in a small town Dogs 0 1 2 3 4 5   Probability 0.650 0.224 0.083…

A:

Q: Find the mean, variance and standard deviation for the probability distribution given below:   X…

A: The table shows the x value and its probabilities.

Q: The random variable X is the number of people who have a college degree in a randomly selected group…

A: Mean=∈x=Σ x.PX=x      =∈x=0*0.4086+1*0.4108+2*0.1546+                     3*0.0246+4*0.0014…

Q: The probability distribution of number of televisions per household in a small town x 0 1 2 3…

A: The probability distribution of number of televisions per household in a small town X 0 1 2 3…

Q: Find the mean and variance of a random variable Y with probability distribution sh

A: From the given information, Y -2 1 5 12  P(Y)  0.3 0.4 0.2 0.1 Mean: Y -2 1 5 12…

Q: In probability distribution, the assumption of normality implies that_ A. the population error u is…

A: Given statement:-In probability distribution, the assumption of normality implies that...

Q: A discrete random variable, y, has a probability distribution y: 6, 7, 8,9, 10,11 nd P :0.13,0.26…

A: Given See the below excel output