Open the worksheet Poisson. The worksheet Poisson enables you to calculate Poisson probabilities and cumulative Poisson probabilities. The only thing you will have to do is to enter the parameters of the distribution into the appropriate cells in the worksheet. Moreover, the template displays the Poisson probability distribution mction. Suppose that the number of cracks in a randomly selected ceramic tile has a Poisson distribution with parameter l=0.25. In other words, the expected number of cracks per tile is only 0.25- Use the worksheet to answer the following questions: (a) (b) (d) What is the probability that there are no aws in a randomly selected tile? In other words, what is the fraction of tiles in perfect condition? Tiles with more than one aw are considered as defective and scrapped by the company. Use the template to determine the fraction of the tiles that need to be scrapped. What is the probability that a random sample of ten tiles does not contain any defective tile (at most one aw)? The worksheet contains a graph of the Poisson probability distribution function. The graph shares your screen with the value of it. Any change to the distribution parameter is immediately reected in the probability distribution function. In this part you will see how various choices of 7x. aect the shape of the Poisson distribution. Enter the value of It as 0.25, then 1, 3, 5, 7, and nally 10. Aer each entry, carefully examine the shape of the corresponding probability distribution function. You are not supposed to print the probability distribution functions