A store carries four brands of DVD players, J, G, P and S. From past records, the manager found that the relative frequency of brand choice among customers varied. Using the given probability values for each of the four brands, find the probability that a random customer will choose brand J or brand P.

The answer is below

Step-by-step explanation:

A store carries four brands of DVD players, J, G, P and S. From past records, the manager found that the relative frequency of brand choice among customers varied. Using the given probability values for each of the four brands, find the probability that a random customer will choose brand J or brand P.

P(J)=0.22, P(G)=0.18, P(P)=0.35, P(S)=0.25

Probability is the ration of possible outcomes to the total number of possible outcomes. The probability of mutually exclusive events i.e. events that cannot occur at the same time is the sum of their individual probabilities. If two events A and B are mutually exclusive events, then:

P(A or B) = P(A) + P(B)

Given that P(J)=0.22, P(G)=0.18, P(P)=0.35, P(S)=0.25, the probability that a random customer will choose brand J or brand P is given by:

P(J or P) = P(J) + P(P) = 0.22 + 0.35 = 0.57

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)