Question textGuidelines to answer the following question:Fill in the blanks with the correct answers. Do NOT use any spaces or brackets.For all numerical answers, give EXACT values (i.e. do not round your answers) unless instructed otherwise in the question.If using fractions, give answers as SIMPLIFIED fractions using the forward slash (e.g. 1/2 or 5/4).Use - for any negatives.______________________________________________________________________________________________This question is worth 3 + 1 + 1 = 5 marks.A music academy has 250 students, and each student has the option of learning the instruments: Piano (P) and Guitar (G). The following information is known: 140 students learn Piano.105 students learn Guitar.20 students do not learn either of these two instruments.The values [math: x] , [math: y] , and [math: z] represent numbers of students.a. Find the values of [math: x] , [math: y] , and [math: z] . (3 marks) [math: x] = Answer 1 Question 7[input], [math: y] = Answer 2 Question 7[input] and [math: z] = Answer 3 Question 7[input]b. The number of students that learn Piano or Guitar, but not both is Answer 4 Question 7[input] (1 mark)c. A student is selected at random. The probability that the student learns both Piano and Guitar is Answer 5 Question 7[input] (1 mark)多项填空题