A man with 5 keys wants to open his door and tries the keys at random. Exactly one key will open the door. Determine the probabi
1 answer:
Answer:
Step-by-step explanation:
Given that a man with 5 keys wants to open his door and tries the keys at random.
Exactly one key will open the door.
Assume that unsuccessful keys are NOT eliminated from future trial.
So the probability of choosing correct key = 0.2 = constant since unsuccessful key is not eliminated
X = no of trials required to open the door
We find that X is discrete taking values 1,2....infinity because there is a chance that continuously unsuccessful keys are drawn
P(X=x) = Prob that x-1 trials are unsuccessful and xth trial is successful
=, x=1,2.....
is the pdf of X
This is a Geometric distirbution.
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Answer:
This value is exact. We can write this as 37.5*sqrt(3)
This approximates to roughly 64.9519
The units for the area are in square feet.
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Explanation:
Split the regular hexagon into 6 identical equilateral triangles.
Each equilateral triangle has side length x = 5 ft.
The exact area of one of the equilateral triangles is
A = 0.25*sqrt(3)*x^2
A = 0.25*sqrt(3)*5^2
A = 0.25*sqrt(3)*25
A = 0.25*25*sqrt(3)
A = 6.25*sqrt(3)
Multiply this by 6 to get the exact area of the regular hexagon.
6*A = 6*6.25*sqrt(3) = 37.5*sqrt(3) which is the exact area in terms of radicals or square roots.
If your teacher meant to say choice B is 37.5*sqrt(3), then that would be the final answer. If your teacher only said 37.5 without the sqrt(3) term, then there's a typo.