Karen supplements her income by making a necklace that she sells online. Orders for the necklace occur randomly at a rate of one order per every 30 hours, on average. Karen is planning a trip which will take her “off the grid” for 84 hours. She is leaving her house at 6am on Monday morning and will return Thursday afternoon at 2pm. As she leaves on Monday morning, she has filled all orders and has an inventory of 4 necklaces. She gives her husband instructions to fill any orders that come in while she is away (up to a maximum of 4).
What would be the parameter of this exponential distribution?