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Task 1: Answer the following: A sample of 50 members will be given to you to use in this assignment. The sample is representing

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Task 1: Answer the following: A sample of 50 members will be given to you to use in this assignment. The sample is representing the Health Expenditures of employees by Age and Gender. Study your sample carefully and answer the following questions. a. Summarize your data in the following table. Age (years) Male (6 Marks) Female Less than 25 years Between or equal to 25 to 35 years More than 35 years b. If an employee selected at random, find the probability that: i. The selected employee is male or his age is more than 35 years. (8 Marks) ii. The selected employee's age between or equal to 25 to 35 years, given that she is a female. (8 Marks) iii. The selected employee's age is not less than 25 years. (4 Marks) c. If the age of the employees is normally distributed, find the following: i. The mean and the standard deviation of the age. (8 Marks) ii. The probability that the age is more than 40 years. (6 Marks) iii. The probability that the age is between 15 and 20 years. (8 Marks) iv. That the probability that the age is less than 27 years. (6 Marks)

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