Answer:
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
Answer: 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
Answer: The expected value of this game is 2/3
Step-by-step explanation:
Give that
If it's black, you lose a point. If it's red, you gain a point.
And then you can stop at any time. But you should never stop when you are losing because that can guarantee 0 by drawing all the cards.
Assuming you should stop after three cards when you are +2.
The only question is whether to draw if you are +1 on the first draw.
If you draw red first, You have 1/3 chance of drawing red again and this will give you +2 points
1/3 chance of drawing two blacks and earn zero point, chance of drawing black-red and earn +1. This gives +1, so it doesn't matter whether you draw or not.
From the beginning, If you draw red (probability 1/2 you end +1. If you draw black and then draw two reds (probability 1/6 you end +1) Otherwise you break even with probability 1/3. Overall, the value is 2/3
Answer:
14) false
15) false
Step-by-step explanation:
14) 120% of a positive whole number is always greater than the number. If the number is 1, 120% of it would give us 1.2 which is greater than 1. However if the number is a negative whole number, 120% of it would give us a smaller number. Let's try -1. 120% of -1 would give us -1.2, which is smaller than -1. Hence the statement is false.
15) 0.5% of a number is 0.5/100 of the number so we should multiply the number by 5/1000. 5/100 is only 5% of the number. Hence the statement is also false.
Answer:
A. 8 cm sq
Step-by-step explanation:
Find the scale factor
new width/original width
8/1.6=5
calculate length of original rectangle
new length/scale factor
25/5=5cm
Find area of original rectangle
A=l×w
A=1.6×5=8cm²
