Exercise 2E SKILLS REASONING 1 A student is investigating the number of cherries in a fruitcake. A random sample of 100 fruitcakes is taken and the results are summarised as: Ex = 143, Ex² = 347 a...

please solve all the questions part a,b and c .. please write in an understandable hand writing

Extracted text: Exercise 2E SKILLS REASONING 1 A student is investigating the number of cherries in a fruitcake. A random sample of 100 fruitcakes is taken and the results are summarised as: Ex = 143, Ex² = 347 a Calculate the mean and the variance of the data. b Explain why the results in part a suggest that a Poisson distribution may be a suitable model for the number of cherries in a fruitcake. e Using a suitable value for å, estimate the probability that exactly 3 cherries will be found in a randomly selected fruitcake.