99 points will give no fake answers!
a computer programmer has a 35% chance of finding a bug in any given program. what is the probability that she finds a bug within the first three programs she examines?
a) 0.15
b) 0.27
c) 0.59
d) 0.73

a fair coin is flipped multiples times until it lands on heads. if the probability of landing on heads is 50%, what is the probability of first landing on heads on the fourth attempts?
a) 0.625
b) 0.0625
c) 0.500
d) 0.382

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?