Find the following probabilities for the given random variables: a) X Normal(8, 16); P(X> 11.5) b) X Normal (100, 25); P(96 < X < 108) c) X~ Normal(-10, 5); P(X < -14.6)

Q: There are many firms which belong to the same industry. It is known that in average there are 77…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 77 and…

Q: distribution of X₁ is binomial

A: A multinomial distribution is defined as a generalization of binomial distribution. It is a type of…

Q: Let the random variable X represent test 1 scores of the students who take a math class. Suppose…

A:

Q: Suppose that a random variable X is distributed uniformly over an interval [15, 25]. Find the…

A: Given that, The random variable X has a uniform distribution. X~U[15,25] The density function of the…

Q: Q5: At 5% level of significance, Find the following probabilities: 1. P(Z z2) 2. 3. P(-Za < Z < 0…

A: Note: According to the guidelines, only first three subparts have been solved. Given: Level of…

Q: A box contains 2 red balls, 3 white balls, and 5 blue balls. 3 balls are selected at random without…

A: Given that there are 2 red balls, 3 white balls, and 5 blue balls. So there are total (2+3+5)=10…

Q: a) A manager of a computer store knows that 19% of PC sold out returned to his store for repair…

A: Answer: Given that: p=0.19 , n= 5 now will use Binomial probability P(X=x)=nx*px*(1–p)n–x,where…

Q: What is the probability of a group of 4 having a score of atleast 60 if the mean is 50 and SD is 8?

A: given data  n = 4 μ = 50σ = 8P(x¯≥60) = ?

Q: What is the probability that a randomly selected person will not test positive for HIV? V = a person…

A: Let V be the event that a person has HIV Let V’ be the event that a person does not have HIV Let P…

Q: Let X be a chi-squared random variable with 23 degrees of freedom. What is the probability that X is…

A: Given,degrees of freedom (d.f)=23

Q: Suppose that 90% of the batteries from a certain brand have acceptable voltage. These batteries are…

A: Givensample size(n)=10p=(0.90)2    (since two batteries used to work flashlight)p=0.81

Q: Suppose we know that a discrete random variable X takes values  {1, 2, 3, 4, 5, 6, ....}, then the…

A:

Q: Suppose you have a loaded coin that when flipped is Ekely to land on heads about 60% of the time,…

A:

Q: 2. Define the characteristic function of a random variable and state its properties.

A:

Q: The ideal estimator has the greatest variance among all unbiased estimators. A)  True B)  False

A: For a estimator a to be ideal two conditions must be satisfied. It must be unbiased It should have…

Q: Suppose that a poll of 18 voters is taken in a large city. The random variable x denotes the number…

A: Solution-: Given: n=18,p=0.43 (Or 43%) What is the mean and standard deviation of X?

Q: is x discrete or a continuous random variable

A:

Q: Assume that 3% of the membrane used for sewage treatment are poor in capability to filter out the…

A: Sol:- This is a binomial probability problem. Let X be the number of membranes that are poor in…

Q: Is the probability of the minimum order statistic being greater than a number that same as the…

A: Introduction: Denote X1, X2, …, Xn as n observations taken from the probability distribution of the…

Q: Find the mean using the probability-generating function of a binomial random variable with…

A: Let the X be a random variable with two outcomes, success(1) and failure(0). Let the probability of…

Q: Suppose data X1, ..., Xn are sampled from the population, sample mean is a random variable

A: It is given that Sample : x1, x2,......,xn

Q: COVID-19 vaccination is important to help stop the COVID-19 pandemic. A survey conducted showed that…

A: From the given information we use binomial distribution to find the solution.

Q: What is the probability that x will be between 75 and 78 if random sample of size 100 is taken from…

A: h

Q: If X is a binomial random variable, compute the probabilities below: (a) X - Binom(8,0.4) P(X 3)…

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

Q: 4. For a linear combination of n random variables, find its expectation and variance.

A:

Q: Suppose 10 balls are put into 5 boxes, with the location of the 10 balls being chosen independently…

A: Given 10 balls are put into 5 boxes Let X denote the number of boxes that do not contain a ball

Q: 17

A: a) 200b) 180 Explanation:To find the expected number of citrus trees showing damage in orchards of…

Q: A manager is simulating the number of times a machine operator stops a machine to make adjustments.…

A:

Q: Suppose that the population mean flight time between cities 1 and 2 is 240 minutes with a population…

A: Given that.   X~N( μ , ?^2 )   μ=240     , ?=20   Z-score =( x - μ )/?

Q: Let random variable X follow a binominal distribution with probability of success 20%. You are…

A:

Q: Suppose that X is a binomial random variable with n=3 and p=0.22. What is the mean of the random…

A: It is given that X is a binomial random variable with probability of success , p=0.22 and number of…

Q: Suppose that the time students wait for a bus can be described by a uniform random variable X, where…

A: X~ U (15 ,55 ) Find ( a ) P ( 15&lt;X&lt;25 ) =? ( B ) p ( x&gt;=25 ) =?

Q: Suppose X is a binomial random variable that models the number of successes in n trials, where each…

A: Suppose X is a binomial random variable that models the number of successes in n trials, where each…

Q: In N(5, 4): For Z-scores: type in exact answers as decimals. For probabilities: round to 4 decimal…

A: Solution

Q: aining in computerprogramming. Applicants are interviewed sequntially and are selected at random…

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