Question

On any given day, there is a 52% chance of there being an auto-related accident on a certain stretch of highway. The occurrence of an accident from one day to the next is independent. (Use Statdisk to compute the values and write the answers below) (a). What is the probability that there will be 4 accidents in the next 9 days

Answer 1

Answer:

See the explanation.

Step-by-step explanation:

We need to observe total 9 days.First we need to choose any 4 days from the 9 days. From these total 9 days, 4 days can be chosen in $^9C_4 = \frac{9!}{4!\times5!} = \frac{6\times7\times8\times9}{4!} = 126$ ways.

The probability of occurring an auto related accident is $\frac{52}{100}$.

Similarly, the probability of not occurring an accident is $\frac{100 - 52}{100} = \frac{48}{100}$.

Hence, the required probability is $126\times(\frac{52}{100} )^4(\frac{48}{100} )^5$.