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Let X and Y have Joint probability function given by f(x,y) = xy/66 x = 2,3,4 ; y = 1,2,3 Form the p.d table and find marginal probabilities function of X and Y? Also a) Find P (X=4 | Y=2)? b) Find P (X + Y < 3)? c) Are X and Y independent?
A bag contains 4 red and 6 black balls. A sample of 4 balls is selected from the bag without replacement. Let X is the number of red balls. Find the p.d for X? a) Find probability of X greater than 2? b) Find probability of X for non-negative integers?
From our previous exam in Statistics, sample scores from a normal population were taken for evaluation purposes of how the students responded the test. The scores are 38, 27, 34, 50, 33, 36, 21, 27, 22, 29, 27, 27, 22, 29, 31, 28 asssume that the score are normally distributed
Find the value of the point estimate for the population.
Compute for the margin of error at 99% confidence level.
Find 99% confidence interval for the population mean.
Interpret the results.
M.Y University claims that some of their BS accountancy first year students shifted to online classes because of the difficulties they’d encountered, which is normally distributed. A random sample of 200 students revealed that 55 of them shifted.
Compute for the proportion estimate of the parameter.
Compute for the margin of error of the proportion at 90% CL.
Find 95% CI for all the students who shifted.
Interpret the result.
can someone solve this please
A bank manager wants to implement a new system for customer waiting in the branch office. Because of cost consideration, he wants to implement the new system only if it reduces the mean waiting time by more than 3 minutes. A random sample of n₁ = 100 waiting times observed under the current system gives a sample mean x₁ = 8.79 and a sample variance s₁2 = 4.8237. A random sample of n₂ = 100 waiting times observed during the trial run of the new system yield a sample mean X₂ = 5.14 and a sample variance s₂² 1.7927. Will the manager implement the new system or not. (Use a level of significance of 5%). Let:
u1 = the mean customer waiting time under the current system u2 the mean customer waiting time under the new system
A jar contains 8 red marbles, numbered 1 to 8, and 12 blue marbles numbered 1 to 12.
a) A marble is chosen at random. If you're told the marble is blue, what is the probability that it has the number 6 on it?
b) The first marble is replaced, and another marble is chosen at random. If you're told the marble has the number 1 on it, what is the probability the marble is blue?
Read and analyze the given problem. Provide a complete solution, Table, and a graph corresponds to the answer.
Based from the result of a survey conducted by a group of researchers, the proportion of females holding executive positions in the government agencies in a certain populated city is normally distributed. In a random sample of 300 female employees in the government agencies, 75 female hold executive positions.
Compute the proportion estimate of the population
Compute for the margin of error of the proportion at 90% CL.
Find 90% and 95% CI for all the female employees in the government agencies holding executive positions.
Interpret the result.
From our previous exam in Statistics, sample scores from a normal population were taken for evaluation purposes of how the students responded the test. The scores are 38, 27, 34, 50, 33, 36, 21, 27, 22, 29, 27, 27, 22, 29, 31, 28 asssume that the score are normally distributed
Find the value of the point estimate for the population.
Compute for the margin of error at 99% confidence level.
Find 99% confidence interval for the population mean.
Interpret the results.
Your friend writes a phone number down on a piece of paper but the last three numbers or gets much after being in your pocket all day long you decide to randomly choose numbers for each of the three digit use a sample space to determine whether guessing the first digit correctly in the second digit correctly are independent events
The mean scores of a random sample of 17 students who took a special test is 83.5. If the standard deviation of the scores is 4.1, and the sample comes from an approximately normal population, find the interval estimates of the population mean adopting a confidence level of 90%.
Task:
1.The point estimate;
2.The interval estimate adopting the 95%confidence level;
3.determine if a certain student passed the special test if it's score is 80; and
4.conclusion and recommendations with regards to the special test.
