Suppose a three-seat city council election. For each seat, one progressive and one conservative is running, and voters must choo
1 answer:
Answer:
The probability that conservative party wins all 3 seats is 0.216
The probability that conservative party wins exactly two seats is 0.432
Step-by-step explanation:
Consider the provided information.
The probability of a conservative candidate winning is p=0.6.
The probability of one progressive candidate will win is: 1-0.6=0.4
Part (a) What is the probability that the conservative party wins all three seats?
According to binomial distribution:
P(conservative party wins all 3 seats) = 0.216
Hence, the probability that conservative party wins all 3 seats is 0.216
Part (a) What is the probability that the conservative party wins exactly two seats?
Hence, the probability that conservative party wins exactly two seats is 0.432
You might be interested in
Answer:
The three positions are not on the same line.
Step-by-step explanation:
We have three points: A:(3,2,0), B:(1,-1,2) and C:(5,5,2).
Let's build a vector that goes from one point to another; that vector will be the director of a line (if we draw a vector that goes from A to B, that vector will be the direction of the line that pass by A and B because it does not change). In order to build that vector, let's subtract B from A:
The equation of a line is:
Where p is every singular point of the line, is a particular point of the line (any that we are sure that it is on the line), r is the director vector and t is the independent variable.
Now we have the director vector: (2,3,-2), and we can verify that A and B are on the line:
Because there is a value for t that satisfies both A and B: If we do and t=0, we are going to obtain the point p=A; and if we do t=-1, we are going to obtain p=B. Let's see that:
If C is also in the same line, C must accomplish the equation: , so:
Let's simplify the equation writing the parametric equation, which is just to write the equation for each dimension:
You can verify that there is not a value of t that satisfies all three equations, so, the point C is not on the same line as A and B; which means that A, B and C are not on the same line.