Uuuuvuu J. 'umv- 1. Each person has a 75% probability of going to the Ches Tahoe restaurant. ' 1 a You randomly select 8 people. What is the probability that 5 people w11 not go to the restaurant? (Calculation is necessary to get FULL credits! (5 points) I). You randomly select 50 people. Use normal approximation to nd the probability that at least 35 people will go to the restaurant. Solve it by Binomial (5 points, Calculation is NOT necessan) 2. A so-drink bottle vendor claims that its process yields bottles with a mean - internal strength of 157 psi (pounds per square inch) and a standard deviation of 3 psi and is normally distributed. As part of its vendor surveillance, a bottler strikes an agreement with the vendor that permits the bottler to sample 'om the vendor's production to verify the vendor's claim. (10 points) A) Suppose the bottler randomly selects 15 bottles to sample. What is the mean and standard deviation? B) Suppose it's not normally distributed. What is the Mean and for 64 randomly selected bottles? ' 3. Given the following GPA for 4 students: 2, 3, 3, 4. Age of students are: 10, 11, 12, 15. There are 10,000 total students. Average GPA: Unknown, Standard Deviation of GPA: 0.02 and it's Normal. a. Find the mean and standard deviation for GPA. (10 points)do I vill:dedong or al marlW elgoog & lootge vimobun woY .s (aming c) adda ball of noidentixorggs lemmon sell elgoog Of foster Imobrist uoY d Jusumass off or og Illw sigong 25 feast in redi vailidadong June2sign TOM gi noimplyat3 jemiog 2) leimoni ed it oviol b. Calculate a 95% confidence interval for the populations mean GPA. (5 points) expoorg ali Jadi aminlo robasy abfod adairb- Bos A S asante method s souullioywe toblow ani to her ak boludrumzib vilarmon at bus leg c. Use Correlation formula to find r between GPA and Age. (10 points) d. Find Regression Line Equation. (5 points)