Math | Mathematics homework help
- Suppose a life insurance company sells a one year, $450,000 term life insurance policy to a 55-year-old man for $380. The probability the man dies during the year is 0.00067. Create a probability distribution for this problem then find and interpret the expected value of this policy for the insurance company. (10 pts)
Problem 2 The Centers for Disease Control and Prevention reported that diastolic blood pressures (in mmHg) of adult women in the United States are approximately normally distributed with a mean of 85 and a standard deviation of 6. Be sure to include the calculator commands and a graph of the situation for each part below.
A. What blood pressure represents the bottom 38% of blood pressures? (4 pts)
B. What proportion of women have blood pressures that are more than 93? (4 pts)
C. Would it be unusual for a blood pressure to be more extreme than 66? Find the probability and z-score and explain using both. (9 pts) Probability: _____________ z-score: _______________ Explain:_________________________________________________________________________________ _______________________________________________________________________________________ D. What two blood pressure measurements hold the middle 48% of women’s blood pressures? (4 pts) E. Doctors only want to warn women about their blood pressure if it is unusually high. At what blood pressure measurement would doctors start to warn their patients (when is it unusually high)? (4 pts) Problem 3 An industrial machine is known to produce defective components at a 12% rate. We are interested in the number defective components. Round to the fourth for all parts.