Solve the following.

Problem 2. [6pts] All the 143 Android phone visits to the web site math. hawaii. edu last month were done using either the default web browser or the Opera Mini browser. . Four visits used Opera Mini. 1 of these 4 was a new visit (the other three being returning visits). . 139 visits used the default browser. 30 of these were new visits. a) [3 points] How many percent of all visits using Android phones were new visits? b) [3 points] What percentage of new visits used the default browser?Problem 3. Suppose that houses in La Jolla area are sold at a rate of 1.02 per day, and that on average, 13.3% of the houses sold are built in the first half of 1963 or earlier (we will call such houses "old" ). Real estate agent Sally has noticed that the numbers of houses, old and new, and the numbers of buyers and sellers in the market, are very large compared to the number of sales that typically occur in a month. Therefore she adopts the following mathematical modeling assumptions: Ages of houses sold are independent of one another, and the number of sales, and the time until the next sale, are independent across time periods. Based on these assumptions answer (a)-(d) below. a) [3 points] Find the probability that exactly 1 of the next 7 houses sold will be "old". b) [3 points] Find the probability that exactly 8 houses will be sold in the next (7-day) week. c) [2 points] What is the probability that it will be at least a 7-day week (from now) before the next house is sold? d) [2 points] Suppose no houses are sold in April. What is the probability that no house will be sold in the first 7-day week of May?8. The number of bad checks that a bank receives each day can be modelled as a Poisson distribution with ) = average number of bad checks received per day. If ) = 6, what is the probability that 4 bad check will be received on any given day?4. For the least-squares best fit line of problems 2 and 3, calculate the predicted value for x = 8. Show the 95% confidence interval for this prediction.7. I have 20 students in my class, and I randomly assign two of them to clean my erasers after class. How many different pairs of eraser cleaners are there?5. A bowl contains 10 marbles, four of which are blue. What is the probability that two marbles chosen at random will both be blue?6. Consider a family photo where the grandmother is to be in the center of a line of people. Given 7 family members in the photo (including grandmother), how many different ways are there to line up the people?3. For the least-squares best fit line of problem 2, the standard deviation of the residuals was found to be 22.31. Use this and other information from problem 2 to calculate the 95% confidence intervals for your estimates of the slope and intercept.8. The number of bad checks that a bank receives each day can be modelled as a Poisson distribution with A = average number of bad checks received per day. If 2 = 6, what is the probability that 4 bad check will be received on any given day?4. For the least-squares best fit line of problems 2 and 3, calculate the predicted value for x = 8. Show the 95% confidence interval for this prediction