4. The student copy machine in the library requires a maintenance call an average of two times permonth. What is the probability that the number of calls require for the copy machine in the nextmonth isa. What is the probability that the number of calls required for the copy machine in the next month is exactly four. Provide the probability statement (ie P(…)), show work (plugging numbers into theformula), and value to 4 decimal places.b. What is the probability that the number of calls required for the copy machine in the next month is at least five. Provide the probability statement (ie P(…)), show work (plugging numbers into theformula), and value to 4 decimal places.c. Is it unusual to have more than four calls for the copy machine in the next month? Explain.d. What is the probability that the number of calls required for the copy machine in the next 3months is at least 2. Provide the probability statement (ie P(…)), show work (plugging numbers intothe formula), and value to 4 decimal places. 5. In a salad bar, customers are charged for the amount of salad they take. Sampling suggests that theamount of salad taken is uniformly distributed between 5 ounces and 15 ounces.Set X = salad plate filling weighta. Graph the Uniform pdf for Salad plate filling weight.b. What is the probability that a customer will take between 12 and 15 ounces of salad? Provide theprobability statement (ie P(…)), show work (plugging numbers into the formula), and value to 4 decimalplaces.c. What is the probability that a customer will take less than 8 ounces of salad? Provide the probabilitystatement (ie P(…)), show work (plugging numbers into the formula), and value to 4 decimal places.d. In the long run what is the expected average salad plate filling weight? Provide correct notation,value to 2 decimal places, and units6. A new roller coaster at an amusement park requires individuals to be at least 4’8” (56 inches) tall toride. It is estimated that the heights of 10 –year-old boys are normally distributed with

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