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Help me on Statistic Theory question please. assume that the random variables X1, · · · , Xn form a random sample of size n form the distribution specified in that exercise, and show that the statistic T specified in the exercise is a sufficient statistic for the parameter A normal distribution for which the mean µ is known and the variance σ 2 is unknown; T = Sigma i=1 to n (Xi − µ)^ 2 .
pleaze help me fast 2. Let X and Y be discrete random variables with joint probability mass function X=1 X=5 Y=1 5a За Y=5 4a 8а a. What is the value of a? b. What is the joint probability distribution function (PDF) of X and Y? c. What is the marginal probability mass function of X? d. What is the expectation of X? e. What is the conditional probability mass function of X given Y = 1? f. Are X...
An inspector working for a manufacturing company has a 99% chance of correctly identifying defective items and a .5% chance of incorrectly classifying a good item asdefective. The company has evidence that its line produces .9% of nonconforming items.a) What is the probability that an item selected for inspection is classified as defective?b) If an item selected at random is classified as non-defective, what is the probability that it is indeed good?
Can somebody please help me with these questions,It very urgent
please help me with this question. thank you. 2. Find the probability of rolling a 4 on a fair die given that it will land even? VODA
please help me 5. Suppose X and Y are standard normal random variables. Find an expres- sion for P(X - 3Y S1) in terms of the standard normal distribution function In two cases: (i) X and Y are independent (ii) X and Y have bivariate normal distribution with correlation ρ-1/2.
If a student is chosen at random, find the probability of getting someone who is a man or a non-smoker. Round your answer to three decimal places. non regular heavy totalman 135 64 5 204women 187 21 9 217total 322 85 14 421Answer in decimal (round to nearest 3)Please help me, I've taken more than an hour to figure this problem out! Please guys! Really appreciate it.
Please answer the question clearly 8. Consider the random variables X and Y with joint probability density (PDF) given by f(r,y) below 2, r > 0, y > 0, i otherwise f(z, y)= 0, (a) Draw a graph of all the regions for values of X and Y you need to examine like the one given in Figure 10 on page 87. Label each one of the regions and clearly specify the values for r and y in each of...
Please answer all parts of question. Thank you! Discrete Probability Distributions: part 1 1. Consider the experiment of rolling two dice. a.) Define a random variable that takes on all possible values for the minimum value of the two dice face showing when the dice come to rest after the roll. b.) Before doing anything at all (do not write out the distribution yet), think about this experiment and the random variable. Tell me what you think the shape of...
can someone help me with this question please?! 9. Find the probability that in a sample of size 15 from a normal distribution with mean=500 and sd=100 the sample average is more than 550.