4. Burger Queen (a national burger restaurant chain) is having more in-store dining as the pandemic continues to lessen. Corporate management has asked local store owners to be tracking sizes of groups who choose to dine-in at their establishments. Suppose that Kyle owns a Burger Queen location and during a single day of business 30 groups of customers arrive. Kyle knows that there is a 15% chance that a group will contain 5 or more people and that each group size is independent of other group sizes. Probabilities related to how many of these 30 groups have group sizes of 5 or more people will be calculated. a) (8pts) Define a random varilible to be used in this question. State the distribution of this variable and its parameters b) (8pts) What is the probability that 10 of the groups will have a size of 5 or more? c) (8pts) What is the probability that at least 10 groups will have a size of 5 or more? d) (pts) How many of these groups should Kyle expect to have a group size of 5 or more people? Whee the standard deviation