The number of cakes baked on any business day in this bakery is a random variable that follows a Poisson distribution with rate λ = 6.7. The cakes baked are independent of each other. (i) What is the probability of having exactly 3 cakes baked on any given business day? (ii) What is the probability of having at most 2 cakes baked on any given business day? (iii) What is the expected number of cakes baked on any five-day business week?

The number of cakes baked on any business day in this bakery is a random variable that follows a Poisson distribution with rate λ = 6.7. The cakes baked are independent of each other. (i) What is the probability of having exactly 3 cakes baked on any given business day? (ii) What is the probability of having at most 2 cakes baked on any given business day? (iii) What is the expected number of cakes baked on any five-day business week?

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Description: The number of cakes baked on any business day in this bakery is a random variable that follows a Poisson distribution with rate λ = 6.7. The cakes baked are independent of each other.(i) What is the probability of having exactly 3 cakes baked on any

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The number of cakes baked on any business day in this bakery is a random variable that follows a Poisson distribution with rate λ = 6.7. The cakes baked are independent of each other.

(i) What is the probability of having exactly 3 cakes baked on any given business day?

(ii) What is the probability of having at most 2 cakes baked on any given business day?

(iii) What is the expected number of cakes baked on any five-day business week?

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