Question 2 a) There is small parking lot behind a Floral Shop that has two parking lot spaces. Let X be the number of cars parked in the parking lot at midday. The probability distribution of X is given by x 0 1 2 3 P(X = x) 0.1 0.25 a 0.35 (i) What is the value of a? (ii) (iii) What is the probability that there will be at most 1 car in the parking lot? Calculate the expected number of cars in the parking lot at midday [1] [2] (iv) Calculate the variance. [3]

Question 2 a) There is small parking lot behind a Floral Shop that has two parking lot spaces. Let X be the number of cars parked in the parking lot at midday. The probability distribution of X is given by x 0 1 2 3 P(X = x) 0.1 0.25 a 0.35 (i) What is the value of a? (ii) (iii) What is the probability that there will be at most 1 car in the parking lot? Calculate the expected number of cars in the parking lot at midday [1] [2] (iv) Calculate the variance. [3]

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.3: Binomial Probability

Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...

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