Identify the NAME of the probability mass function and it’s parameters for the f
ID: 3125572 • Letter: I
Question
Identify the NAME of the probability mass function and it’s parameters for the following scenarios: (binomial, geometric, negative binomial, or poisson)
a. I have 5 keys in my pocket. I come to a door and I know one of the keys will open the door. I select a key at random and try to open the door. If the key doesn’t work, I put it back in my pocket and select another key AT RANDOM. I keep doing this until I finally unlock the door. I am interested in this probability.
b. I flip a coin. I am interested in the probability of getting exactly 7 heads.
c. I am practicing my 3 point shot. I am interested in the probability that it will take me x number of shots to hit ten 3 pointers.
d. I am a popular brand name designer. I have a bolt of fabric from which I want to make a dress. I cut off 2 meters of the fabric and I know that there is on average 6 defects per 400 meters of fabric. I am interested in the probability that the 2 meters of fabric will have at most two defects
Explanation / Answer
(a): binomial distribution
(b): poisson distribution
(d): negative binomial distribution