Suppose two dice (one red, one green) are rolled. Consider the following events. A: the red die shows 1; B: the numbers add to 6
1 answer:
Answer:
(a)(C)
(b)8 elements
Step-by-step explanation:
Ina toss of a red and green dice, given the events:
- A: the red die shows 1;
- B: the numbers add to 6;
- C: at least one of the numbers is 3; and
- D: the numbers do not add to 11.
=The numbers do add up to 11.
Therefore, the event: Either the numbers add to 11 or the red die shows a 1 is written as:
(b)
Sample Space of A={(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)}
Sample Space of ={(5,6),(6,5)}
={(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(5,6),(6,5)}
contains 8 elements
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Answer:
Therefore, the mean and the standard deviation for the number of electrical outages (respectively) are 0.26 and 0.5765 respectively.
Step-by-step explanation:
Given the probability distribution table below:
(a)Mean
Expected Value,
=(0*0.8)+(1*0.15)+(2*0.04)+(3*0.01)
=0+0.15+0.08+0.03
Mean=0.26
(b)Standard Deviation
Standard Deviation
Therefore, the mean and the standard deviation for the number of electrical outages (respectively) are 0.26 and 0.5765 respectively.