Question

The probability of tails of a weighted coin is 0.8. the number of tails is noted each of the 20 times the coin is tossed. if this procedure is repeated 75 times, what type of distribution is simulated?

- a sampling distribution of the sample proportion with n = 20 and p = 0.8
- a sampling distribution of the sample proportion with n = 75 and p = 0.8
- a binomial distribution with n = 2 and p = 0.8
- a binomial distribution with n = 20 and p = 0.8
- there is not enough information to determine the distribution.

Answer 1

The simulation represents a sampling distribution of the sample proportion with n=75 and p=0.8

Step-by-step explanation:

The procedure of flipping a weighted coin 75 times and noting the number of tails each time simulates a sampling distribution of the sample proportion with n = 75 and p = 0.8. In this case, we are interested in the proportion of tails that occur in each sample of 20 coin flips, and we are repeating this procedure 75 times. This type of distribution is used to estimate the true proportion of tails in the population based on these repeated samples.