Section B - Medium Answers Questions - Answer ALL (2 x 5 marks = 10 marks) 3. A random variable is normally distributed with a mean of 60 and a standard deviation of a. What is the probability that a randomly selected value from the distribution will be less than 46.52 (1.5 Marks) b. What is the probability that a randomly selected value from the distribution will be greater than 78? (1.5 Marks) c. What is the probability that a randomly selected value will be between 51 and 73.5? (2 Marks) 4. A random sample of 40 television viewers was asked if they had watched the current week's Lost episode. The following data represent their responses no no no yes no no no yes no yes no no no yes no no no no yes no yes no no no 110 yes no 110 no no no no no no no no no no no no (a). Calculate the proportion of viewers in the sample who indicated they watched the current week's episode of Lost. (1 Mark) (b). Compute a 95% confidence for the proportion of viewers in the sample who indicated they watched the current week's episode of Lost. (2 Marks) (C). Calculate the smallest sample size that would produce a margin of error of 0.025 if the population proportion is well represented by the sample proportion in part a. (2 Marks)