What, if any of those which we have discussed in class, would be the appropriate random variable to model the following

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What, if any of those which we have discussed in class, would bethe appropriate randomvariable to model the following values? Your answer for each partcould be one of the following: Bernoulli, Binomial, Geometric,Poisson, Uniform (continuous), Exponential, Gaussian,or None.(a) The number of people arriving at a bus station in a 30 minutewindow (assumingpeople arrive independently).(b) We ask 10 random people whether they prefer Chocolate orVanilla, assuming 65% ofpeople prefer Chocolate. Let X be the number of people who chooseVanilla.(c) The number of times we need to flip a coin until we get a”heads”.(d) The number of people arriving at a bus station in a 2 hourwindow, knowing thatpeople do not arrive independently.
(e) Selecting a random number from R between 0 and 1 with evenprobability of numbersacross this range.(f) The time between arrivals of people at a bus station (assumingpeople arrive indepen-dently).(g) The time between photons arriving at a camera sensor whenphoton arrivals are inde-pendent.(h) We uniformly pick a random number in R between 1 and 10. Werepeat this randomnumber selection 100 times and add all the resulting valuestogether. Let our randomvariable X be the resulting value. Which random variable could beused to model X?(i) The value of a binary bit sent from a source (must be 1 or 0),where the probability ofsending a 1 is 0.3.(j) We ask people whether they prefer Chocolate or Vanilla,assuming 65% of people preferChocolate. How many people do we need to ask until somebody choosesVanilla?