Question

The probability of tails of a weighted coin is 0.58. The number of tails is noted each of the 25 times the coin is tossed. If this procedure is repeated 150 times, what type of distribution is simulated

Answer 1

It is a sampling distribution of the sample proportion for which n = 150 and p = 0.58

Explanation:

Given -

Probability of tails of a weighted coin = 0.58

Number of tail is noted each 25 times

Repetition of procedure = 150 times

mean = p = 0.58

SD = Sqrt {p(1-p)/n}

Substituting the given values, we get -

SD = Sqrt {0.58(1 – 0.58)/150}

= 0.04029

It is a sampling distribution of the sample proportion for which n = 150 and p = 0.58

Answer 2

The options are not given so these are the options:

- A binomial distribution with n = 25 and p = 0.58

- A binomial distribution with n = 2 and p = 0.58

- A sampling distribution of the sample proportion with n = 25 and p = 0.58

- A sampling distribution of the sample proportion with n = 150 and p = 0.58

- There is not enough information to determine the distribution.

Explanation:

The answer is - A binomial distribution with n = 25 and p = 0.58.

I got it right on my test.

Good luck!