A campus radio station surveyed 500 students to determine the types of music they like. The survey revealed that 198 like rock, 152 like country, and 113 like jazz. Moreover, 21 like rock and country, 22 like rock and jazz, 16 like country and jazz, and 5 like all three types of music. What is the probability that a radomly selected student likes jazz or country but not rock?

The probability that a randomly selected student likes jazz or country but not rock is 0.422.

Step-by-step explanation:

The information provided is:

Total number of students selected, N = 500.

The number of students who like rock, n (R) = 198.

The number of students who like country, n (C) = 152.

The number of students who like jazz, n (J) = 113.

The number of students who like rock and country, n (R ∩ C) = 21.

The number of students who like rock and Jazz, n (R ∩ J) = 22.

The number of students who like country and jazz, n (C ∩ J) = 16.

The number of students who like all three, n (R ∩ C ∩ J) = 5.

Consider the Venn diagram below.

Compute the probability that a randomly selected student likes jazz or country but not rock as follows:

P (J ∪ C ∪ not R) = P (Only J) + P (Only C) + P (Only J ∩ C)

                           

Thus, the probability that a randomly selected student likes jazz or country but not rock is 0.422.

The correct answer is .44

First, think of what you know. you know that the number t the end of the equation will need to be subtracted because it is the money he lost from buying the lawn mower. and your first two weeks have negative profit, so that tells you that c and d are wrong. now you can plug any of the weeks into a and b to see which one works. i'll start with plugging week 1 into a.this isn't right because it says your answer for week one should be -90.so now we need to try the same thing with b.this one got you the right answer, (sometimes if you only check with one of the weeks multiple will work so you need to check with more of the weeks, but it worked out fine here)this means that b is the correct answer.let me know if you need more clarification. i hope this : )