Kona wants to bake at most 30 loaves of banana bread and nut bread for a bake sale. Each loaf of banana bread sells for $2.50,an
1 answer:
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Answer:
0.006% probability that the final vote count is unanimous.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they vote yes, or they vote no. The probability of a person voting yes or no is independent of any other person. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Random voting:
So 50% of voting yes, 50% no, so
15 members:
This means that
What is the probability that the final vote count is unanimous?
Either all vote no(P(X = 0)) or all vote yes(P(X = 15)). So
In which
So
0.006% probability that the final vote count is unanimous.
Answer:
(1.35, 1.6)
Step-by-step explanation:
A screenshot of the graph is attached.
Once we graph the equations and
, the solution to this system will be their intersection point.
Tracing the graph on the calculator, we see that the point of intersection is at about (1.35, 1.6).
