Essay MDM4U :Probability Distributions Assignment – Statistics Assignment Help

Assignment Task:

TASK:

PART 1: 1. Classify the following variables as discrete or continuous /3 (K)

a. Number of cars parked in the school parking lot _______________

b. Time it takes for a student to finish an exam __________________

c. Number of times you flip a coin and tails occurs _______________

2. This following formula is the probability distribution for a random variable X, /3 (K) ? ? = 4 = ‘?&(0.65)&(0.35)/

a. Which probability distribution does this represent? (Uniform, binomial, geometric, hypergeometric, or none of these)

b. What is the number of trials?

c. What is the probability of success?

3. You are randomly choosing 10 cards from a standard 52 card deck (without replacement), where X is the number of hearts chosen. What is the probability distribution function in terms of X? /1 (K)

4. In a game you spin the following spinner. You collect points every time you land on a green space until you land on a ‘game over’ space. Let the random variable X be the number of point you win in a game. /3 (A) /1 (K)

a. What is the probability of landing on a green space and gaining a point? /0.5 (A)

b. What is the probability of landing on a ‘game over’ space? /0.5 (A)

c. What is the probability distribution function for X (ie. formula for P(X)? /1 (A) K T A C /8 /4 /9 /7 MDM4U

d. Complete a probability distribution table: /1 (K)

e. What is the expected number of points you will win in this game? /1 (A)

5. Zoey has a playlist with 12 songs on it. Her new phone has a new feature that will allow her to select 1 random song to play on the playlist. In this case, it will choose one of the twelve songs to play independently of any previously played songs.

a. What is the expected wait time before she hears her favourite track? /1 (A)

b. If she were to add more songs to the playlist, will this change the probability and expected wait time until she hears her favourite song? Provide an example to explain your thinking. /2 (T)