Question 1 A. The probability distribution for the number of customers per day at the Sunset Diner is shown below: Number of Customers K St} 51 52 53 54 Probability Put) on ass a [1.21 o. 12 Table 2. Determine: i. The value of b ii. The mode of the distribution iii. The probability that on a given day: a. at least 52 customers will be in the diner b. at most 53 customers will be in the diner iv. The mean of the distribution v. The variance and standard deviation of the distribution