This is Statistics and Probability. Provide solution if necessary only

1. Which of the following statements is correct? a. The mean of the sampling distribution of the means is less than the population mean. b. The mean of the sampling distribution of the sample means is greater than the population mean. c. The means of the samples drawn from a population of the means are always equal to the population mean. d. The means of the samples drawn from a population may be equal, greater than or less than to the population mean. 2. A certain population has a mean of 15.4 and a standard deviation of 5.6. If random samples of size 5 is taken from this population, which of the following statements is correct? a. The mean of the sampling distribution of the sample means is equal to 15.4. b. The mean of the sampling distribution of the sample means is less than 15.4. c. The standard deviation of the sampling distribution of the sample means is 15.4. d. The standard deviation of the sampling distribution of the sample means 5.6. 3. How many possible of size n = 3 can be drawn from a population of size 12? a. 36 c. 144 b. 1728 d. 220