A particular die thrown a 100 times. The results are as follows:x 1 2 3 4 5 6frequency 12 20 27 21 14 6a) Calculate the sample mean X̅, i.e. the average score you expect when throwing a single dieb) Calculate the corresponding sample standard deviation sc) Now this experiment is conducted again 35 times. Assuming that the die indeed follows adistribution with corresponding mean and variance found in a) and b), find the probability thatthe sample mean, i.e. the average score of these 35 experiments, exceeds 4.

Question

Vasquez · Accepted Answer

To calculate the sample mean X̅, we can use the following formula:X̅=∑i=1nxifi∑i=1nfiwhere n is the number of possible outcomes (in this case, n=6), xi is the score of the ith outcome, and fi is the frequency of the ith outcome.Substituting the values from the table, we get:X̅=(1×12)+(2×20)+(3×27)+(4×21)+(5×14)+(6×6)12+20+27+21+14+6Simplifying the numerator and denominator separately, we get:X̅=12+40+81+84+70+36100=323100=3.23Therefore, the sample mean X̅ is 3.23.

A particular die thrown a 100 times. The

Answered question

Answer & Explanation

New Questions in Math Word Problem