Final answer:
The probability that 5 people will be scared by bunny rabbits this month is approximately 0.000448.
Step-by-step explanation:
To find the probability that 5 people will be scared by bunny rabbits this month, we need to calculate the probability of 5 successful events out of 6 trials. We can use the binomial probability formula:
P(X=k) = C(n,k) * p^k * (1-p)^(n-k)
Where:
- n = 6 (number of trials)
- k = 5 (number of successful events)
- p = 1/150 (probability of a person being scared by bunny rabbits)
Plugging in these values, we have:
P(X=5) = C(6,5) * (1/150)^5 * (1-(1/150))^(6-5)
P(X=5) = 6 * (1/150)^5 * (149/150)^1
P(X=5) ≈ 0.000448
Therefore, the probability that 5 people will be scared by bunny rabbits this month is approximately 0.000448, which corresponds to option b. 446 in the given choices.