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)
= 
= 
There are three 1/3s in a ounce. So, you do 58*3 and you get 174 servings
Those are the ranges for one tandard deviation below the mean and one standard deviation above the mean, and we know that 68% of the data falls in that range, so the probability that a randomly chosen worker makes that much is 68%
Answer:
0.78125 or 78.125%
Step-by-step explanation:
Male professors = 7
Female professors = 6
Male T.A. = 12
Female T.A. = 7
Number of people in the department = 32
The probability that the selected person is a professor or a male is given by the probability that the person is a professor added to the probability that the person is a male, minus the probability that the person is a male professor:
The probability is 0.78125 or 78.125%
