Question

Question 5 (5 points) Suppose that diastolic blood pressures of adult women in the United States are approximately normally distributed with mean 80.5 and standard deviation 9.9. What proportion of women have blood pressure greater than 76.4 ? Write only a number as your answer. Round to 4 decimal places (for example 0.0048). Do not write as a percentage. Your Answer: Answer Question 6 (5 points) The mean length of six-year-old rainbow trout in the Arolik River in Alaska is 481 millimeters with a standard deviation of 41 millimeters. Assume these lengths are normally distributed. What proportion of six-year-old rainbow trout are less than 519 millimeters long? Write only a number as your answer. Round to 4 decimal places (for example 0.0048). Do not write as a percentage. Your Answer:

Answer 1

Solution, Given that x n Normal distribution with u = 80.5 and 6=9.9 76.4-80.5 9.9 6 PLx is gepater than 76.4) P(x 76.4) - p(x-1 280.5) = P(Z -0.41) - 1-Plz<- 0.41) (using z table) TU 1 0.3409 0.6591 hl Given that x n Normal distribution with u= 481 and o=41 P(x is less 529) P ( x < 529) - f 2-le 529-481 41 = P(Z < 1. 171)... (using a table) 0.8792