\fA physical education professor at a university in Canada told his class that they could earn an A grade for the long-jump if they could jump further than 8.50 metres. Suppose that the distances jumped by the students have a normal distribution with a mean of 7 metres and a standard deviation of 150 centimetres. What percentage of his students will earn an A grade? Let X denote the length of life (in years) of a smart phone which is a normally distributed random variable with mean 4 years and variance of 9 years. According to this distribution what fraction of smart phones will fail within one year? Consider an estimated multiple regression model as given below. A log(y) : 3. 45 + 0. 12 log (:31) 0.42.112 + 0.36.123 Which of the following statements is correct in relation to the above estimated model? Suppose that an additional year of schooling increases the logarithm of annual earnings from 4.4 to 4.64. Find the dollar value of increase in annual earnings due to an additional year of schooling. Using the following logarithm of wage equation log(WAGE) = 1.80 + 0.22EDUC interpret how an additional year of education will affect the hourly wage.Suppose the following equation describes the relationship between annual salary (SALARY) and the number of previous years of labour market experience (EXPER): 10g (SEARY) : 8.2 + 0.014 EXPER Given the relationship what is the predicted starting salary of a worker without any previous labour market experience? Let Q5=-4+2.5P, where Q5 is quantity supplied of a good and P is the market price. What is the slope of this equation? If a student's studying time increases from 10 hours per week to 15 hours per week, what is the exact percentage change in studying hours? You are organising an outdoor concert for next week and believe attendance will depend on the weather. You consider the following possibilities are appropriate: Weather Probability=flfx} Attendance=X Terrible weather Normal weather Good weather Great weather This probability distribution suggests that VariancelXJ=1010U Suppose that each ticket costs $8 and that the total cost of giving the concert is a fixed $1,000. Let Y=profit=total sales revenue total cost = 8X 1000. Find Variance (Y)