Answer: Last option
[tex]p = (0.9801) ^ {30}[/tex]
Step-by-step explanation:
the probability of a jaywalker being hit is
[tex]P = \frac{1}{100} = 0.01[/tex].
So the probability of a jaywalker not being hit is:
[tex]P '= 1-0.01[/tex]
[tex]P '= 0.99[/tex]
As in this experiment the probability of each trial is independent then, the probability that it is not a jaywalker will not be hit if it makes a round trip is:
[tex]P '= (0.99) (0.99) = 0.9801[/tex]
[tex]P '= 0.9801[/tex]
If this experiment is repeated for 30 days then the probability that it is not a jaywalker will not be hit if it makes a round trip is:
[tex]p = (0.9801) ^ {30}[/tex]
