Question

Sixty percent of the customers who go to Sears Auto Center for tires buy four tires and 22% buy two tires. Moreover, 12% buy fewer than two tires, with 6% buying none. Construct a cumulative probability distribution for the number of tires bought. (Round your answer to 2 decimal places.)

Answer 1

Answer:

A Cumulative probability distribution for the number of tires bought is prepared below.

Step-by-step explanation:

We are given that Sixty percent of the customers who go to Sears Auto Center for tires buy four tires and 22% buy two tires. Moreover, 12% buy fewer than two tires, with 6% buying none.

The cumulative probability distribution for the number of tires bought is given by;

   No. of tires       Probability Distribution      Cumulative Probability

                                                                                    Distribution

           0                               6%                                             6%

           1                                6%                                             12%

           2                               22%                                           34%

           3                                6%                                             40%

           4                               60%                                           100%

Now, here we are given within the question about:

P(0 tires) = 6%

P(2 tires) = 22%

P(4 tires) = 60%  

Also, P(Fewer than 2 tires) = 12% which means P(0 tires) + P(1 tire) must be equal to 12%. So, P(1 tire) = 12% - 6% = 6%.

And, in the end P(3 tires) = 100% - 6% - 6% - 22% - 60% = 6%.