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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 24HP
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please solve all the questions part a,b and c .. please write in an understandable hand writing

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.
Transcribed Image 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.
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