1. We asked 6 students how many times they rebooted their computers last week. • There...
2. Let the random variables Y1 and Y, have joint density Ayſy22 - y2) 0<yi <1, 0 < y2 < 2 f(y1, y2) = { otherwise Stom.vn) = { isiml2 –») 05451,05 ms one a independent, amits your respon a) Are Y1 and Y2 independent? Justify your response. b) Find P(Y1Y2 < 0.5). on the
A) Find fY1 and show that the area under this is one B) Find P(Y1 > 1/2) Let (Y1, Y2) denote the coordinates of a point chosen at random inside a unit circle whose center is at the origin. That is, Y1 and Y2 have a joint density function given by 1 yiy f(y, y2) 0, - elsewhere Let (Y1, Y2) denote the coordinates of a point chosen at random inside a unit circle whose center is at the origin....
(5) Fix an integer n > 1. (a) Show that the joint law of the arrival times YİJG…· for a Poisson(A) process has pdf 1 2.In y1 , . . . ,yn) = : otherwise. Hint: Exploit the relation to the waiting times Ti, T2,...,Tn to compare MGFs. (b) Find the joint law of Yi,%, . ..,y, conditioned on Y,-+1 = 1. (5) Fix an integer n > 1. (a) Show that the joint law of the arrival times YİJG…·...
Twelve randomly-chosen students were asked how many times they had missed class during a certain semester, with this result: 2, 1, 5, 1, 1, 3, 4, 3, 1, 1, 5, 18. For this sample, the median is _____. A. 2.5 B. 3 C. 3.5 D. 2 need help please
1. Several BC students are asked how many courses they took last semester. 77 answered "none", 33 said "one, 24 said "wo", and 6 responded with three or more. Find the probability that a randomly selected student from this group took three or more courses last semester. Would it be unlikely for one of these students to have taken three or more courses last semester? Why or why not? Round your final answer to 3 significant digits.
1. Twenty-five student were asked the question "How many times per week do you eat chips? The following results were found: # of Times 0 8 4 Construct a Probability Distribution for the random variable x, where x is the number of times per week a student eats chips. A) B) Find the probability someone eats chips at most 2 times per week. C) Find the probability someone eats chips more than 3 times per week. D) Find the probability...
5. (15 points) The shopping times of n = 64 randomly selected customers at a local supermarket were recorded. The average and variance of the 64 shopping times were 33 minutes and 356 minutes, respectively. Estimate u, the true average shopping time per customer, with a confidence coefficient of 1-a = 0.90. 6. (10 points) Let X1, X2, ..., Xn denote n independent and identically distributed Bernoulli random vari- ables s.t. P(X; = 1) = p and P(Xi = 0)...
A recent survey asked college students how much time they spend studying each week. The results showed a mean of 10 hours with a standard deviation of 2 hours. Complete parts (a) through (c) below. (a) Find the probability that a randomly selected student would spend less than 7 hours studying per week. O A. 0.933 OB. 0.500 OC. 0.067 OD. 0.333 (b) What percent of students spend more than 12 hours studying per wook? O A. 80.0% OB. 15.9%...
1. To determine the average number of hours spent studying by college students per week, a sample of 39 students was randomly selected, and found to spend an average of 17.1 hours per week, with a standard deviation of 4.3 hours. Find the 90% confidence interval for the mean number of hours spent studying per week by all college students. What is the upper and lower bound? 2. If I asked a random student how many hours they study per...
Using Java IDE: Write an application that asks elementary students a set of 10 math problems ● First ask the user for a level and a problem type. ● You need to validate the level and problem type and loop until the user enters a correct one. ● There should be 3 levels. Level 1 operands would have values in the range of 0-9, level 2 operands would have values in the range of 0-99, and level 3 operands would...