To earn a bonus in a video game, you must find at least 60% of the hidden gems. You find 25 out of 40 gems. Do you get the bonus
2 answers:
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Answer:
a)
b)
And replacing we got:
c)
d)
e)
f)
And replacing we got:
And the variance would be:
And the deviation:
Step-by-step explanation:
We have the following distribution
x 0 1 2 3 4
P(x) 0.2 0.3 0.1 0.1 0.3
Part a
For this case:
Part b
We want this probability:
And replacing we got:
Part c
For this case we want this probability:
Part d
Part e
We can find the mean with this formula:
And replacing we got:
Part f
We can find the second moment with this formula
And replacing we got:
And the variance would be:
And the deviation: