Match the following random variables to the type of distribution.
A biased coin with a probability of tails of 0.8 is tossed
100 times.
Let X be the number of tails obtained.
The average number of accidents at a particular
intersection is 0.8 in every 100 days.
Let X be the number of accidents that happen in a 400
day period
A committed basketball player is attempting free throws,
and she continues until she makes 100 shots. On
average, her probability of making a shot is 0.8.
X is the number of free-throw attempts made.
A box contains 100 items out of which 80 are defective.
You randomly select 50 chips without replacement
Let X be the number of defective chips selected.
A. X follows a binomial distribution with n=100 and p=0.8.
B. X follows a Binomial distribution with n=100 and p=0.2
C. X follows a Poisson distribution with lambda = 3.2
D. X follows a negative binomial distribution with m=100 and
p=0.8.
E. X follows a negative binomial distribution with m=80 and
p=0.8
F. X follows a Hypergeometric distribution with b=80, r=20,
k=50.
G. X follows a Hypergeometric distribution with b=80, r=100,
k=50.
H. X follows a Poisson distribution with lambda = 0.8