In: Statistics and Probability
1.A person who unknowingly carries a communicable disease arrives at a crowded partyat which 45 other people are present. Studies have shown that typically 4% of those at the party will become infected.
a)What is the probability that 2 or more of those at the party will also become infected?
b)Justify an appropriate approximate method for finding the probability in a); carry it out, and compare your two answers.
2.A large animal preserve has noticed that an albino panther is born unpredictably once every 8 years; and that can happen at any time of the year.
a) What are the expected value and variance of the number of albino panthers which will be born in the next 40 years?
b) What is the probability the preserve will go 10 years without having another albino panther born?
Ans 1 Let random variable X denote the number of people that will become infected in the 45 people