Question

2) For each scenario, explain what distribution would be the best to use and why Data from counting the number of a-particles given off in a o material. Airplane engines will fail when in flight with probability p. We are interested in computing the probability of at most 1 engine among the 6 failing on the plane A study collected data on the different motor symptoms first experienced by 20 subjects genetically at-risk for Huntington's disease. We are interested in computing the probability that 5 experience chorea, 9 experience dystonia, 4 experience rigidity, and the remaining experience bradykinesia. a. ne-second interval by radioactive b. c. d. Data from weights of Parkinson's disease subjects 18 years and older. A histogram of the data looked bell-shaped.

Answer 1

a)

here as number of alpha particles in a given second is a variable ; which is independent from one time interval

therefore it follows Poisson distribution

b)

for probability of event is fixed and independent from trail to trail and also number of trails are fixed ; therefore it follows binomial distribution

c)as number of variables are more then 2 and probability of each variable probability in an event is fixed and independent ; it follows Multinomial distribution

d)

for shape of data distribution follows bell curve; it follows normal distribution.