Question

Discrete Math19. Rolling the Dice An experiment was conducted in whichtwo fair dice were thrown 100 times. The sum of the pipsshowing on the dice was then recorded. The following fre-quency histogram gives the resultsSum of Two Dice252015Frequency1032 3 4 5 6 7Value of Dice9 10 11 12(a) What was the most frequent outcome of the experi-ment?(b) What was the least frequent?(c) How many times did we observe a 7?(d) Determine the percentage of time a 7 was observed,(e) Describe the shape of the distribution

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

frequency histogram

Step 02:

discrete math:

sum of two dice:

we must analyze the graph to find the solution.

most frequent outcome:

value of dice = 8

frequency = 20

least frequent outcome:

value of dice = 2

frequency ≅ 2

how many times (7):

15 times (frequency)

percentage of times (7):

percentage (7) = (15 / 100) * 100%

percentage (7) = 15%

shape of distribution:

non-symmetric, bimodal

That is the full solution.