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With the recent changes in work habits due to the pandemic, a company took a survey of its employees. The survey found that 56% of its employees have invested in extra technology so they could work from home, that 61% of its employees enjoy working from home, and that 76% of its employees have invested in extra technology or enjoy working from home.
(a) Find the probability that an employee of the company has invested in extra technology and enjoys working from home
(b) What is the probability that an employee from the company enjoys working from home if it is known that they did not invest in extra technology? Use the values from setup in Question 1 (a).
(c) Are the events "The employee doesn't enjoy working from home" and "The employee invested in extra technology" independent? Support your answer with a calculation. Use the values from setup in Question 1 (a).
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