N Raj builds a side table in the shape of a cube. Each edge of the cube measures 27 inches. Raj wants to cover the top and four sides of the table with ceramic tiles. Each tile has an edge length of 3 inches. How many tiles will he need? Raj will need tiles to cover the table.​

 The probability in (b) has higher probability than the probability in (a).

Explanation:

Since we're computing for the probability of the sample mean, we consider the z-score and the standard deviation of the sampling distribution. Recall that the standard deviation of the sampling distribution approximately the quotient of the population standard deviation and the square root of the sample size.

So, if the sample size higher, the standard deviation of the sampling distribution is lower. Since the sample size in (b) is higher, the standard deviation of the sampling distribution in (b) is lower. 

Moreover, since the mean of the sampling distribution is the same as the population mean, the lower the standard deviation, the wider the range of z-scores. Because the standard deviation in (b) is lower, it has a wider range of z-scores.

Note that in a normal distribution, if the probability has wider range of z-scores, it has a higher probability. Therefore, the probability in (b) has higher probability than the probability in (a) because it has wider range of z-scores than the probability in (a).