The mean amount purchased by a typical customer at Churchill's Grocery Store is $23.50, with a standard deviation of $5.00. Assume the distribution of amounts purchased follows the normal distribution. For a sample of 50 customers, answer the following questions. (a)What is the likelihood the sample mean is at least $25.00? (Round z value to 2 decimal places and final answer to 4 decimal places.) Probability (b)What is the likelihood the sample mean is greater than $22.50 but less an $25.00? (Round z value to 2 decimal places and final answer to 4 decimal places.) Probability (c)Within what limits will 90% of the sample means occur? (Round your answers to 2 decimal places.) The limits are and