An instructor with a cold enters the classroom and sneezes Poi(λ) (namely Poisson λ) times. From each sneeze, you catch the cold with probability p, independent of all other sneezes. Catching the cold from one sneeze suffices to get the cold. Find a simple expression (not an infinite sum) for the probability that at the end of the class you have the cold for:

This question awards 100 ! i really don’t want to fail i will also mark you !

Two researchers are attempting to create a new psychotherapy protocol that more reduces panic attacks. they believe that they have succeeded and are now in the clinical trial period of their protocol's development. they are working with several cohort groups, some of which have been through the new protocol, while others have done the standard protocol currently recommended. if these researchers are interested in evaluating the difference in the percentage of test subjects who successfully decreased their panic attacks in 2 months on the new protocol versus the percentage of test subjects who successfully decreased their panic attacks in 2 months with the traditional protocol, which of the following statistical tests would be most appropriate? a. analysis of variance (anova) b. correlation c. chi-square test d. paired t-test e. independent t-test

Perform the indicated operation and write the answer in the form a + bi. (-5 + 2) + (3 - 6i)