4-18. A survey of 490 workers included the question \"In your opinion. is it OK for a company to monitor its employees' Internet use?\" The possible responses were: (I) Only after informing the employees, (2) Does not need to inform the employees, (3) Only when company believes an employee is misusing the Internet. (4) Company does not have the right, and (5) Only if an employee has previously misused the [ntemet The following table contains the results for the respondents: Response 1 2 3 4 5 Number of Respondents 150 206 109 ll 14 a. Calculate the probability that a randomly chosen respondent would indicate that there should be some restriction concerning the company's right to monitor Internet use. b. Indicate the method of probability assessment used to determine the probability in part a. c. Are the events that a randomly selected respondent chose response I and that another randomly selected respondent chose response 2 independent, mutually exclusive. or dependent events? Explain. 4-8. The results of a census of 2,500 employees of a mid- sized company with 401(k) retirement accounts are as follows: Account Balance (to nearest $) Male Female ($25,000 635 495 $25,000- $49,999 185 210 $50.000- $99,999 515 260 :3 $100,000 155 45 Suppose researchers are going to sample employees from the company for further study. 3. Based on the relative frequency assessment method, what is the probability that a randomly selected employee will be a female? b. Based on the relative frequency assessment method, what is the probability that a randomly selected employee will have a 401(k) account balance between $25,000 and $49,999? c. Compute the probability that a randomly selected employee will be a female with an account balance between $50,000 and $99,999. 4-9. Cross County Bicycles makes two mountain bike models, the XB-SO and the YZ99, in three distinct colors. The following table shows the production volumes for last week: Color Model Blue Brown White XB-SO 302 105 200 YZ-99 40 205 130 a. Based on the relative frequency assessment method, what is the probability that a mountain bike is brown? b. What is the probability that the mountain bike is a YZ-99? c. What is the joint probability that a randomly selected mountain bike is a YZ99 and brown? d. Suppose a mountain bike is chosen at random. Consider the following two events: the event that model YZ99 is chosen and the event that a white product is chosen. Are these two events mutually exclusive? Explain