In: Statistics and Probability
In a test, there are 300 students and one-third of them bring a water bottle. Suppose that for those who bring a water bottle, the chance that each of them leaves behind his/her water bottle in the examination room after the test is 0.06.
a)Using an appropriate approximation method, find the probability that 5 or less water bottles are left behind. Carry your answers from the previous part to at least 6 decimal places in your calculation here. Give you final answer to 4 decimal places.