A commuter encounters four traffic lights each day on her way to work. Let X represent the number of these that are red lights. The probability mass function of X is as follows. x 0 1 2 3 4 P(X = x) 0.1 0.2 0.4 0.2 0.1 What is the probability that in a period of 100 days, the average number of red lights encountered is more than 2 per day?

No, she cannot fit all the 51 boxes in the storage container.

Step-by-step explanation:

The storage container is shaped like a rectangular prism , hence,

The formula for the volume of the storage container = Length × Width × Height

We are given the dimensions of the Storage container as

3 feet long = Length

2 feet wide = Width

8 ft tall = Height

Hence, Volume = 3 ft × 2 ft × 8 ft

= 48 ft³

We are told that 51 boxes , each as volume of 1 cubic foot

Hence, the total volume of the boxes = 51 × 1 cubic foot = 51 ft³

From the calculations above, we can conclude that she cannot fit all the 51 boxes in the container.