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)

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Author:Sheldon Ross

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Chapter1: Combinatorial Analysis

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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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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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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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