(Exercises 5, in Sections 7.9.4) If X is a normal random variable with parameters M = 3 and 02 = 9 , find P(1X - 31 > 6) Select one: O a. 0.9545 O b. 0.0003 O c. 0.001 O d. 0.0455(Exercise 9, in Sections 7.9.4) Family branding occurs when a firm applies one brand name to its entire product line, such as Levi' 5. Individual branding occurs when a firm uses individual brand names for its products, for example, Procter 84 Gamblea's Pringles, Crisco, and Tide. GSP Inc, is trying family branding for a new toothpaste in 20 test cities. The mean and standard deviation of units sold per week are 2, 250 and 250 respectively. GSP is also test marketing the toothpaste using individual branding in 20 similar cities. The mean and standard deviation in units sold per week are 2, 250 and 500 , GSP will select the strategy that maximizes its chance of selling at least 2, 350 units per week, This will ensure that it meets its return on the project' 3 investment goal. Which marketing approach-family or individual branding-should GSP select? Assume sales are normally distributed. Select one: Q a. individual branding O b. family branding Joe reads that one out of four eggs contains salmonella bacteria, so he never uses more than three eggs in cooking. If eggs do or do not contain salmonella independently of each other, the number of contaminated eggs when Joe uses three chosen at random has the distribution Select one: 0 3- binomial with n=4 and p=1/4 O b- binomial with n=3 and p=1l4 0 Ci binomial with n=3 and p =1/3 0 d' hypergeometric with total number of eggs equal 4 and a random sample of 2