MATH 1530 Elements of Statistics Class Activity Section 6.1 Blockbuster Video: D

Question

MATH 1530 Elements of Statistics Class Activity Section 6.1 Blockbuster Video: Data obtained in a study of the number of VHS or DVD movies rented each time a customer enters the store is summarized in the frequency distribution below. # movies rented | 0 | 1 | 2 | 3 | 4 frequency5 32 44 24 10 1. What are the possible values of X? 2. Use random-variable notation to represent the event that 3 movies are rented. 3. Construct a probability distribution of X P(X x) 4. Find P(X- 1); in terms of decimals 5. Find P(X- at most 2); in terms of percentages.

Explanation / Answer

1) possible value of X are 0,1,2,3,4

2)event that 3 movies are rented can be represented by X=3

3)

dividing each frequency from total frequency 115 ; below is probbaility distribution:

4)

P(X=1)=0.2783

5)

P(X=at most 2)=P(X=0)+P(X=1)+P(X=2)=0.0435+0.2783+0.3826 =0.7043

x P(X=x) 0 0.0435 1 0.2783 2 0.3826 3 0.2087 4 0.0870

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