2) Determine if the following are Probability Distributions. Justify your answer. a) 6. 12 15 P(X) 4/9 2/9 1/9 1/9 1/9

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: 8. Assume that the total score (from both teams) for college football games averages µ = 42 points…

A: It is given that the mean is 42 and the standard deviation is 20.

Q: Consider the following discrete probability distribution. 15 22 34 40 P(X = x) О.14 0.40 0.26 0.20…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Consider the following probability distribution: P(X) 1 0.1

A: Condition for valid distribution is  ∑PX=1

Q: The following table contains the probability distribution for X = the number of re-transmissions…

A: As per our guidelines we are suppose to answer only one question1)Given data is x P(x) 0 0.40…

Q: 4. Compute the mean and standard deviation of the random variable with the given discrete…

A: x p(x) -3 0.10 0 0.17 1 0.36 3 0.37

Q: Given this probability distribution, what is the probability X Var will be less than or equal to…

A: We have been provided with the following discrete distribution    For the probability less than…

Q: b. Assuming their scores are independent, what is the probability that Mr. Cull scores more than 50…

A: The probability that Mr. NH scores more than 50 points higher than Mr. Voss on a randomly-selected…

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

A:

Q: 3. The ratio of adult males to adult females living in a certain town is 17:18, and of these adults,…

A: Solution

Q: Given the following discrete probability distribution: -2 -1 (x) 1/8 2/8 2/8 2/8 1/8 Then P(-1SXS1)…

A: From the given probability distribution table, the probabilities are:

Q: Assuming that o = 20.0, how large a random sample be taken to assert with probability 0.95 that the…

A:

Q: Suppose X is binomial. If p = .9, how big does n have to be in order to use the normal approximation…

A: Question :  Suppose X is binomial. If p = 9, how big does n have to be in order to use the normal…

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: Suppose that the proportions of blood phenotypes in a particular population are as follows: A B АВ…

A: We have given that,  The proportions of blood phenotypes in a particular population are as follows:-…

Q: A random variable X has the probability distribution given in the following table: 2 3 4 5 6 P(X =…

A: When random variable X has the probability distribution then sum of the probabilities must be equal…

Q: Suppose the parole board is examining five prisoners up for parole. Let x represent the number of…

A: Let x be the random variable having probability mass function is,  X 0 1 2 3 4 5 P(x)  0.237…

Q: 2) The mean and standard deviation of the number of mildly strong earthquakes taking place in the…

A: Xbar=D=126, σ=E=57  P(X>F)=P(X>131)= ?  Note: This probability calculated from standard normal…

Q: Q2. If the lifetime X of a hearing aid battery has Weibull distribution with a = 0.1,ß = 0.5. Find…

A: Solution is given below.

Q: Determine whether the following is a probability distribution. If not, identify the requirement that…

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

Q: 2. The average hourly wage for an employee without a high school diploma or technical certification…

A: mean = 8.45 s = 0.3

Q: 3. 0.03 of the goods produced in a factory are defective. When a 25 unit sample is drawn for…

A: P(defective)=0.03=P q=1-P=0.97 n=25 x= no. of defective goods, p(x=X)=nc x px qn-x    - binomial…

Q: Suppose that X follows a binomial distribution with mean that equals 4. If the range of X is known…

A: A

Q: suppose that X is a random variable with probability distribution.P(X=k)= 0.02k,where k takes the…

A: Given: P(X=k) = 0.02k k = 8,12,10,20 Here takes the value 8,12,10,20

Q: According to the National Center for Health Statistics (2004), 22.4% of adults are smokers. A random…

A: Given: Sample size (n) = 300 Population proportion (p)=22.4%

Q: Given a Continuous Uniform probability distribution with a=0 and b=1. What would be the probability…

A: Given that a continuous uniform probability distribution with a=0 and b=1

Q: on average, research shows that people gain one to three pounds over the winter months. Let x denote…

A: Given : research shows that people gain one to three pounds over the winter months   Let x denote…

Q: Calculate the mean for the following discrete probability distribution. 6. 9. 11 P(x) 0.24 0.07 0.01…

A:

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

A:

Q: For what values of k canf(x) = (1 − k)kx serve as the values of the probability distribution of…

A: Given that  the probability distribution of a random variable x is,   From the probability…

Q: The mumber of suits sold per week by a store follows a Poisson distribution with mean 14. Then the…

A: Given data,lamda=14P(X=2)=?

Q: 2. Compute the mean and variance of the following discrete probability distribution. P(x) .5 .3 10…

A: The mean of the variable X obtained as given below: Here, X denotes the observation.

Q: 10. Xand Yare random variables, and f-) is the corresponding probability function. Which of the…

A: Given  X and Y are random variables.  f(x) and f(y) are marginal density functions. f(x,y) is the…

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

A:

Q: 4. Compute the mean and standard deviation of the random variable with the given discrete…

A: Hi, thank you for the question. As per our Honor code, we are allowed to attempt one question at a…

Q: Suppose that the proportions of blood phenotypes in a particular population are as follows: A B АВ…

A:

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: Which of the following assumptions concerning the probability distribution of the random error term…

A: The difference between observed value and estimated value is known as random error.

Q: Consider the following probability distribution. 3 4 P(x) 0.05 0.16 0.19 0.24 0.18 0.11 0.05 0.02…

A: Given data, P(X<4)=?

Q: Assuming these results reflect the properties of the general population, what is the probability one…

A: Given that, Total frequency is n=106. Number of persons whose body temp is greater than the accepted…

Q: An engineering school reports that 55% of its students were male (M), 31% of its students were…

A: The probability that the students  are male is 0.55. The probability that the students are between…

Q: IfY = InX has a N (0, 1) distribution then E (X²) is equal to

A: Solution:  Let Y=lnX~N(μ=0,σ2=1) Iff X~LN(a=0,μ=0,σ2=1)

Q: 4–38. If X is a normally distributed random variable with mean 120 and standard deviation 44, find a…

A:

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

A:

Q: 1. The number of meteors found by a radar system in any 30-second interval under specified…

A: Given :  The number of meteors found by a radar system in any 30-second interval under specified…

Q: (i) Is X and Y are statistically independent ? (ii) Find the probability of observing random…

A:

Q: 4.1 The probability distribution of X, the number of imperfections per 10 meters of a synthetic…

A:

Q: In which of the following situation we can not apply Binomial Distribution O A. The probability that…

A: Solution To apply binomial distribution we have to check the necessary condition to apply it . The…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.