Crop yield is the ratio of the number of bushels harvested to the number of acres used for the harvest. this year, a large farm
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Answer:
Probability that in a random sample of 10 at least 3 favor the annexation suit is 0.9453.
Step-by-step explanation:
We are given that an annexation suit against a county subdivision of 1200 residences is being considered by a neighboring city. The occupants of half the residences object to being annexed.
Also, a random sample of 10 residents is taken.
The above situation can be represented through Binomial distribution;
where, n = number of trials (samples) taken = 10 residents
r = number of success = at least 3
p = probability of success which in our question is probability that
residents favor the annexation suit, which is calculated as below;
p = =
= 0.50
<em>LET X = Number of residents favoring the annexation suit</em>
So, it means X ~
Now, Probability that in a random sample of 10 at least 3 favor the annexation suit is given by = P(X 3)
P(X 3) = 1 - P(X < 3) = 1 - P(X
2)
= 1 - [P(X = 0) + P(X = 1) + P(X = 2)]
=
=
=
= =
= 0.9453
Therefore, Probability that in a random sample of 10 at least 3 favor the annexation suit is 0.9453.