The Denver Post reported that a recent Audit of Los Angeles 911 calls showed that 85% were not emergencies. Suppose the 911 operators in Los Angeles have just received five calls. (a) What is the probability that all five calls are, in fact, emergencies? (Round your answer to five decimal places.)
(b.). What is the probability that four or more calls are not emergencies? (Round your answer to five decimal places.)
Enter a number
(c) What is the smallest number of calls that the 911 operators need to answer to be at least 93% (or more) sure that at least one call is, in fact, an emergency? (Enter your
answer as a whole number.)

The biologist has a second culture to examine. she knows that the population of the culture doubles every 15 minutes. after 1 hour and 15 minutes, her assistant found that 80,000 bacteria were present. a) what was the size of the initial population? b) predict the size of the culture at t=3 hours. what was the size of the population at 40 minutes? explain and justify your answers. c) create a graph of the population as a function of time. find an equation that can be used to predict the size of the population at any time t. d) examine the rate at which the bacteria culture is growing. how fast is the culture growing after 1 hour? after 1.5 hours? after 2 hours? use a time interval of h = 0.01 hours to estimate these rates. interpret these rates in terms of the context of the problem situation. how do these three rates compare?