Assignment 4 Problem 1

Assignment 4 Problem 1#

Consider an experiment in which each of params.numVehicles vehicles taking a particular highway exit either turn left (L) or right (R) at the end of the exit ramp. Let X be a random variable that counts the number of right turns made by the params.numVehicles observed vehicles. Please round all answers and probabilities to 3 decimal places.

Part 1#

(1 point) Suppose that 71.0% of cars turn right at this particular highway (and 29.0% of cars turn left). Assuming cars are independent, what distribution does X follow?

Answer Section#

  • Bernoulli

  • Binomial

  • Poisson

  • Normal

  • Hypergeometric

Part 2#

(3 points) Provide the pmf of X in table form (round probabilities to 3 decimal places). Enter the probabilities in the matrix below. Ex. [P(X=0), P(X=1), P(X=2), …].

Part 3#

(1 point) What is E\[X\]?

Part 4#

(1 point) What is Var(X)?

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.