Question

A television channel is showing programmes x, y and z. A survey has been conducted which reveals the following facts: 60% of population watch programme x, 50% watch programme y and 47% watch programme z. 28% watch both x and y programmes, 23% watch both x and z, 18% watch both y and z, 8% watch all the three programmes. Find the following: (i) What percentage of population watch programme x and y but not z? (ii) What percentage of population do not watch any of the programmes?

Answer 1

For solving ques. of Venn Diagrams, u have to start filling the details from the information provided to you at the last of the ques. as by this you are able to correctly calculate the values for intersection and union and independent as well........ So here, 8 % =X ∩ Y ∩ Z ...................X∩Y = 20%........... X∩Z = 15%............ Y∩Z= 10%............. Similarly, only X=17%............ Only Y = 12%............. Only Z= 14% ............... Now the rest of the solution is attached in the fig. Please have a look...........

Answer 2

Answer:

(I) What percentage watches A & B but not C=20%

(II) What percentage watches exactly two program=45%

(III) What percentage does not watch any program=4%

Step-by-step explanation: