Final answer:
To find the probability of more than 1 request in a 1.5-second time interval, we can use the Poisson distribution.
Step-by-step explanation:
To find the probability that there will be more than 1 request in a 1.5-second time interval:
a. Use the binomial distribution: In this case, the binomial distribution cannot be used as the time interval is too short and the probability of success (a request) is not constant.
b. Apply the Poisson distribution: The Poisson distribution models the number of events that occur in a fixed interval of time, given a known average rate of event occurrence. In this case, we can use the Poisson distribution to find the probability of more than 1 request occurring in a 1.5-second time interval.
c. Employ the normal distribution: The normal distribution is not suitable for this scenario as it assumes a continuous random variable and a constant rate of occurrence.
d. Use the geometric distribution: The geometric distribution models the number of trials required to achieve the first success in a sequence of independent trials. It is not applicable in this case as we are interested in the probability of more than 1 request.