A certain DJ takes requests for songs at a party. Assume that there are 120 people at the party, each of whom makes exactly one request for a song. All of their requests are made independently. Assume that each person asks for a pop song with probability 0.37, a rock song with probability 0.2, or a rap song with probability 0.43. What is the probability that 50 or more requests are made for pop songs? a. 0.37
b. 0.63
c. 0.146
d. 1.06

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true

5 + 8 +7 + 4 + 0 +1 = 25

step-by-step explanation: