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 transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

in this example (hyperbola of equation x^2/2 - y^2/4 = 1), the transverse axis is the  x-axis  . 

step-by-step explanation:

from the figure we get,

the x axis shows   the months and,

the y-axis shows the number of satisfied customer.

each line or each cell in upward direction (y-axis) shows 500.

the appropriate scale for the y - axis is: -

a = 2000 customers

b = 4000 customers

c = 6000 customers

d = 8000 customers

e = 10000 customers

f = 12000 customers

g = 14000 customers