Answer:
a) S = {1, 2, 3}
b) P(odd number) =
c) No
d) Yes
Step-by-step explanation:
a) The sample space is the set of all possible outcomes. By definition, the elements of a set should not be repeated. Hence, the sample space S = {1, 2, 3}
However, the sample is not equiprobable because each element has different probabilities.
b) P(odd number) =
Note that the odd numbers are 1 (on three faces) and 3 (on one face).
c) The fact the die has been biased does not change the possible outcomes. It only changes the probability of getting any given number.
d) Because the 3-face has been loaded, this probability changes. In fact, it is calculated thus:
Let's assume the probability for 1 or 2 is . Then that of 3 is (because it is twice the others). The sum of probabilities must be 1.
P(odd number) = Prob(1) + Prob(3)
= =
-13+3b = -5-b
4b -13 = -5
4b = 8
b= 2
To find the percent of error divide how off the wrong answer was by the right number, then multiply by 100.
Bryan's guess of 730 was 120 less than the actual number so you would divide 120 by 850. 120/850 = 0.141
Then we would multiply that by 100. 0.141 * 100 = 14.1
His percent of error was 14.1%. The percent of error is negative since his guess was less than the right answer.
(1) QS bisecting <PQR implies <PQS = <SQR
(2) <PQS=45 deg and (1) imply <SQR also = 45 deg
(3) from (2) it follows that <PQR = <PQS + <SQR = 45 + 45 deg = 90 deg and therefore the triangle is right-angled