a. In words, dene the Random Variable X. b. List the values that X may take on. c. Give the distribution of X.

Q: If Z is a random variable having the standard nor-mal distribution, find the probabilities that it…

A: a) The required is calculated as follows:

Q: Suppose a random variable X is best described by a uniform probability distribution with range 2 to…

A: We have to find value of a which satisfy given condition.

Q: (ii) For what value of 0, the random variables Y, and Y, are uncorrelated.

A:

Q: 4. The random variable X. representing the number of nuts in a chocolate bar has the following…

A:

Q: If X represents a random variable coming from a normal distribution with mean 3 and if P(X > 4.6) =…

A: From the provided information, Mean (µ) = 3 P (X > 4.6) = 0.3

Q: Let X be the random variable with distribution defined by the following table. Answer following…

A: To calculate: 1. Fill the table 2.Mean 3. Variance

Q: Suppose a random variable K has the following distribution: k 2 4 6 8 P(k) 0.1 a b 0.4 1. Find the…

A:

Q: Consider the following discrete random distribution. x P(x) 0 .15 1 .20 2 .20 3 .25 4 .20 What is…

A:

Q: Suppose that the random variable xx, shown below, represents the number times . P(x) represents the…

A:

Q: For families with 5 children, let X be the number of children with Genetic Condition B. Can the…

A: Conditions for the discrete probability distribution: The sum of all probability is equal to 1.…

Q: The Department of Animal Regulations released information on pet ownership for the population…

A: It is given that the probability distribution for the number of licensed dogs in a randomly selected…

Q: For which of the following situations would a binomial distribution not be a reasonable probability…

A: We have given that the statements about to the binomial distribution. Here, need to find out the…

Q: If X is a Weibull random variable with B = 1 and S = 1402, what is the mean of X? Mean = i

A:

Q: ) Let X be a random variable with p.d.f.

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

Q: Suppose the random variable X has the Poisson distribution with mean A so that P(X = 0) = P(X = 1).…

A:

Q: There is a fixed number of trials in a geometric distribution. O true O False

A: The number of trials in a geometric distribution is not fixed. The experiment is performed until we…

Q: Given X~ N (u, 유). In words, "X is a random variable with a distribution with parameters = µ and

A:

Q: Consider the following probability distribution for a random variable X : X 3 4 6 7 Р(X) 0.15 0.10…

A: Given, P(X≤5.5)=?

Q: In a normal distribution with a u = 50 and o = 10, which of the following scores would have the…

A: The mean is 50 and the standard deviation is 10.

Q: Suppose that the random variable x, shown below, represents the number times. P(x) represents the…

A:

Q: The following table provides a complete point probability distribution for the random variable A.…

A:

Q: If X represents a random variable coming from a normal distribution and P(X 8.7) = 0.37. %3D True…

A: P(X < 8.7) = 0.63 P(X > 8.7) = 0.37

Q: i) State, with parameter(s), the probability distribution of the statistic, T = Σ=Wi?

A: It is given that Zi and Wi follows Standard Normal distribution i.e N(0,1).

Q: If X represents a random variable coming from a normal distribution with mean 4 and if P(X > 5.1) =…

A:

Q: If X represents a random variable coming from a normal distribution and P(X 6.5) = 0.59. True O…

A: It is given that P(X<6.5)=0.41.

Q: able Z follows a standard distribution, find p(-1.2<Z<1.2)

A: USe standard nomla table to find the rporbabiloities corresponding to the given z values.

Q: Compute the probabilities and fit a posson distribution for the following data No. of accidents :…

A:

Q: The distribution of the following random variable is:

A: Given that the random variable is, X¯-μsn Here, X¯: Sample meanμ: Population means: sample standard…

Q: Is the following considered a probability distribution? -1 1 P(x) 0.50 0.30 0.20 Ο Νο. Σp (π) 41 O…

A:

Q: What is the value of c, a value from the t distribution for a sample of size 26, such that the…

A: Ans - What is the value of c, a value from the t distribution for a sample of size n = 26,…

Q: Given a normal distribution with u = 50 and o= 4 what is the probability that 5% of the value are…

A:

Q: If X represents a random variable coming from a normal distribution with mean 4 and if P(X > 5.1) =…

A:

Q: Refer to the given problem in answering numbers 12-13. e given table shows the probability…

A: Ans#- Given, Probability distribution of random variable Z         Z 8 9 11 14 15 18 P(Z) 8% 8%…

Q: В. Do the following. Find the variance and standard deviation of the probability distribution of a…

A: Variance=EX2-E2(X)=121033+2213+321233-11033+213+31233=4.90909090909-2.060606060612=0.662993572067…

Q: Consider the following probability distribution: 0. 1 4 p(x) 1/3 /3 1 /3

A:

Q: For families with 5 children, let XX be the number of children with Genetic Condition B. Can the…

A: Conditions for the discrete probability distribution: The sum of all probability is equal to 1.…

Q: Find the variance and standard deviation of the probability distribution of random variable X if…

A:

Q: If X has a normal distribution, which of the following is true about the shape (distribution) of the…

A: Given that, X has a normal distribution

Q: B. Can the able be a probability distribution for the random variable X? P(¤) 1 0.2053 -0.1625…

A: We have given that table.  X 1 2 3 4 5 P(x) 0.2053 0.1625 0.4037 0.3473 0.2062

Q: or families with 5 children, let X be the number of children with Genetic Condition B. Can the…

A: Consider a random variable y with probability distribution of p(x). Now, p(x) is said to be a valid…

Q: Suppose that the random variable z, shown below, represents the number times . P(x) represents the…

A: a) The random variable x represents the number of times a randomly selected person having received…

Q: Consider the following probability distribution: X P(X) 1 0.1 2 ? 3 0.2 4 0.3   What…

A: Conditions for discrete probability distribution:The following requirements should be satisfied for…

Q: The psychologists were expecting to get an equal number of children in each category and wanted to…

A: Given information: A team of psychologists were interested in the distribution of the children on…

Q: For the distribution table given, X is a random variable. 4 X 1 2 3 P(X) 0.2 0.2 0.2 0.4 1) True 2)…

A:

Q: Given anormal distributionwith µ=50 and σ=5, if you select a sample of n=100, what is the…

A: As per the compony rule, In a single question we have to solve only three subparts. Given, μ=50 σ=5…

Q: 2. The IQ scores of children in a special education class are normally distributed with u = 95 and o…

A: Given information is ; Population mean ( μ) = 95 Population standard deviation ( σ) = 10 assume that…

Q: Assume that the random variable D follows the Normal distribution. For the sixth and seventh groups,…

A: Consider, the mean and standard deviation values for the given values: Consider, the expected…

Q: 5. Given the discrete random variable X: What is the probability distribution of X if X ~ B(2, )?

A:

Q: For families with 5 children, let XX be the number of children with Genetic Condition B. Can the…

A: Conditions for the discrete probability distribution: The sum of all probability is equal to 1.…

Q: Let X be the random variable with the following distribution: x: -2 3 5 P(X=x): 0.3 0.2 0.5 Find…

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!