The probability distribution of a random variable X is given. 450 470 540 555 600 P(X = x) 0.2 0.2 0.1 0.4 0.1 Compute the mean, variance, and standard deviation of X. (Round your answers to two decimal places.) mean 520 variance standard deviation Enter a number.

Q: Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal…

A: Given that xP(x)00.210.220.2530.35

Q: The probability that a seed germinates is 55%. Plant 5 seeds. Let the random variable X be the…

A: The given information is:The number of trials is The success of probability

Q: X 0 1 2 3 P(x) 0.25 0.05 0.2 0.5 Find the standard deviation of this probability distribution. Give…

A: Mean=E(X)=E(X2)=Variance()=E(X2)-(E(X))2Standard deviation()=

Q: Let S = {−35, 2, 17, 20, 26, 47} (a) Find the mean (or average) for the set S. [2] (b) Find the…

A:

Q: Use the fact that the mean of a geometric distribution is μ =- and the variance is o² = - Р 2 Р 1…

A: Given that mean of geometric distribution is μ=1p & σ2=qp2

Q: Assume that adults have IQ scores that are normally distributed with a mean of u = 105 and a…

A: mean(μ)=105standard deviation(σ)=20

Q: X P(x) 0 0.05 1 0.25 2 0.05 3 0.65 Find the standard deviation of this probability distribution.…

A: Given that  Probability distribution.  X 0 1 2 3 P(x) 0.05 0.25 0.05 0.65

Q: Assume that women's heights are normally distributed with a mean given by μ = 63.5 in, and a…

A:

Q: Find the missing value required to create a probability distribution, then find the standard…

A: A probability distribution, the sum of all probabilities should equal 1. In your given probability…

Q: A particular fruit's weights are normally distributed, with a mean of 787 grams and a standard…

A: In question, Given that weight of fruits are normally distributed with mean 787 grams and standard…

Q: x P(x) 0 0.15 1 0.25 2 0.1 3 0.5 Find the standard deviation of this probability distribution.…

A: x P(x) 0 0.15 1 0.25 2 0.1 3 0.5

Q: P(x) 0.05 1 0.2 0.2 0.55 Find the standard deviation of this probability distribution. Give your…

A:

Q: Find the mean, variance, and standard deviation of the binomial distribution with the given values…

A:

Q: ution, and interpret the value of the mean pability 0.15 0.29 0.25 0.18 3. 2. 1,

A: First, we will calculate the μx.  The formula and calculations is shown as follows: μx=x*P(X=x)…

Q: P(x) 0.3 0.3 2 0.05 3 0.35 X 0 1 Find the standard deviation of this probability distribution. Give…

A:

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

A: Given information: x ​P(X=​x) 1 0.2 2 0.1 3 0.7

Q: the weight os a small starbucks coffee is a normally distributed random variable with a mean of 420…

A:

Q: The average age of a CEO is 60 years. Assume the random variable is normally distributed. If the…

A: The data on the age of CEOs is distributed normally.Population mean, Population standard deviation,

Q: P(x) 0.15 1 0.3 0.1 3 0.45 2 Find the standard deviation of this probability distribution. Give your…

A: Answer - The Probability              x P(x) 0 0.15 1 0.3 2 0.1 3 0.45

Q: A random variable X has a mean of 622 and a standard deviation of 13. By Chebyshev's theorem, the…

A: Given information: μ=622, σ=13 x1=596, x2=648 Use the formula for normal distribution:-

Q: Ages of Proofreaders At a large publishing company, the mean age of proofreaders is 36.2 years, and…

A:

Q: ind the mean and standard deviation for the probability distribution below. Round to two decimal…

A: Calculate the following values. x p(x) x*p(x) x2*p(x) 1 0.214 0.214 0.214 2 0.048 0.096…

Q: A B The above figure shows a simple activity diagram for completing a task. The Task ended at C…

A: Assuming that The distribution of time taken to go from A to C, A to B, and B to C is normally…

Q: X 0 1 2 3 P(x) 0.15 0.3 0.05 0.5 Find the standard deviation of this probability distribution. Give…

A: Given probability distribution is X P(X) 0 0.15 1 0.3 2 0.05 3 0.5

Q: The following is a probability distribution for a discrete random variable X. P (x) 0.4 0.6 The…

A: From the provided information, x 0 1 P(x) 0.4 0.6

Q: The random variable X has a binomial distribution with n=20 and p 0.01. What is the mean and…

A: As in binomial distribution  Mean = n*p variance = n*p*(1-p)

Q: P(x) 0.25 1 0.3 0.05 0.4 Find the standard deviation of this probability distribution. Give your…

A: Given x P(x) 0 0.25 1 0.3 2 0.05 3 0.4 Total 1

Q: n = 126, p = 0.27 Find the mean, variance, and standard deviation of the binosal distribton wD the…

A: Given: Number of trials(n) = 126 Probability of success (p)=0.27

Q: A and B please

A: Step 1: State the given probability distribution: where: x = Dogs = number of dogsP(x) = Probability…

Q: x P(x)P(x) 0 0.15 1 0.05 2 0.2 3 0.6 Find the standard deviation of thi

A: Given data, X P(X) 0 0.15 1 0.05 2 0.2 3 0.6   Find the standard deviation of this…

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!