Question

1. Your friend decides to roll a die repeatedly to analyze whether the probability of a six on each flip is 1/6. He rolls the die 10 times and observes six 7 times. He concludes that the probability of a six for this die is 7/10 = 0.7.

1. Your friend claims that the die is not balanced, since the probability is not 0.166666667. What’s wrong with your friend’s claim?

2. If the probability of rolling a six is 1/6, what would you have to do to ensure that the cumulative proportion of sixes falls very close to 1/6?

Answer 1

Answer:

a)

Since the sample size is exceptionally little

i.e.,

(n = 10),

the consequences of the investigation isn't dependable. For getting real outcomes, one needs at any rate 30 samples to guarantee adequate capacity to have the option to extrapolate the measurable examination results to the general populace.

Therefore, our companion's case that the coin isn't adjusted isn't right because of the little sample size.

b)

To guarantee that the total extent of heads falls extremely near 1/6, the quantity of flipping the coin ought to be more noteworthy than i.e., > 30.