Randy is starting a beehive so that he can have fresh honey. He decides to check the current population of bees in the hive by m
arking 160 bees. Later, Randy collects 240 bees and observes that 30 of them are marked. What is the BEST estimate for the bee population?
2 answers:
Answer:
Best estimate for the bee population is 1280.
Step-by-step explanation:
Randy marked total number of bees = 160
Then he collected 240 bees and observed that number of bees marked
= 30
We have to find the total population of the bee or best estimate for the bee population.
Now we use the ratio of marked bees in the sample vs marked bees in the total population
x =
Therefore, the best estimate for the bee population is 1280.
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Answer:
Step-by-step explanation:
Since; the density function diagrams were not included in the question; we will be unable to determine the best which depicts this problem.
However;
Let use X to represent the time required for the delivery.
Then X~N(3.8 ,0.8)
i.e
E(x) = 3.8
s.d(x) = 0.8
NOW; P(x>4) = P(X-3.8/0.8 > 4-3.8/0.8)
= P(Z > 0.25)
= 1-P(Z < 0.25)
=1 - Φ (0.25)
= 1 - 0.5987 ( from Normal table Φ (0.25) = 0.5987 )
= 0.4013
Thus; the probability a single delivery would take more than 4 hours is 0.4013
What is the z value corresponding to the interval boundary?
The z value is calculated as:
z = 0.25