Question 7 (1 point) You're playing a board game online where you roll two dice whenever it is your turn. You know that these dice are not independent: the probability that both dice will roll number 6 is 022. What's the probability that at least one of them rolls a 6, given that you know they are not independent? You can treat the die as fair when considering a single die's roll. Note: 1- Only round your final answer to 2 decimal places. Enter your final answer with 2 decimal places. Your final answer should be in the decimal form and not the fraction form. For example, % = 0.142857 will be entered as 0.14. Your Answer: Question 8 (1 point) You work part-time in an ice cream shop. It is a quiet day at work today, so to keep yourself occupied, you begin to take note of which ice cream flavours the customers who showed up today ordered. Out of the three flavours your shop offers, vanilla was chosen by 9 customers, and chocolate by 5 customers. The third flavour remains untouched. Based on this observation, what is the probability that, of the next three customers, the first two will choose vanilla, and the third one will choose chocolate? Note: 1- Only round your final answer to 2 decimal places. Enter your final answer with 2 decimal places. Your final answer should be in the decimal form and not the fraction form. For example, % = 0.142857 will be entered as 0.14. Your Answer: Answer Question 9 (1 point) The following table shows purchases from the last month of people in a store. Based on this data, if a customer purchases a shirt what is the probability that the customer is a woman? Pants Shirts Men 305 226 Women 125 402 Note: 1- Round your final answer to 1 decimal place. 2- Enter your answer as a probability (between 0 and 1). Your Answer: Question 10 (1 point) The difference between the observed value and the predicted value for a particular variable (residual) can be used to estimate how far the prediction lies from the actual observed data. Consider that we know that this difference (residual) is 3.0 for a particular data point, y = 7.9. What is the corresponding predicted value, 3"? Note: 1- Only round your final answer to 2 decimal places. Enter your final answer with 2 decimal places. Your