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At a busy street corner, the probability is that one of every hundred jaywalkers will be hit. What is his probability of not being hit if he makes a round trip daily for thirty days?

Respuesta :

MOjo416
The correct answer to this problem is (0.9801)^30. I had this problem also.
JeanaShupp

Answer: [tex](0.99)^{60}[/tex]

Step-by-step explanation:

Given: The probability of jaywalkers will be hit =[tex]P(hit)=\dfrac{1}{100}[/tex]=0.01

Then, the probability of not getting hit will be

[tex]\text{P(not hit)}=1-\text{P(hit)}\\\\=1-0.01=0.99[/tex]

For round trip, the the probability of not getting hit =[tex](0.99)^2[/tex]

Now, for thirty days, the probability of not being hit if he makes a round trip daily for thirty days =[tex](0.99^2)^{30}=(0.99)^{60}[/tex]

Hence, the probability of not being hit if he makes a round trip daily for thirty days =[tex](0.99)^{60}[/tex]

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