A hostel in Country X can have 20 guests in capacity and offer guests a choice of a full English breakfast, a continental breakfast, or no breakfast. The probabilities of the choices being made are 0.45, 0.25 and 0.3 respectively. It is assumed that the breakfast choice is independent among guests. (a) On a particular morning, there are full houses in the hostel. Calculate the probability that (i) at least 3 guests prefer a continental breakfast, (ii) more than 4 and at most 6 guests prefer a full English breakfast. (b) Calculate the mean and the standard deviation for the number of guests requiring breakfast when there are 18 guests in the hostel.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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A hostel in Country X can have 20 guests in capacity and offer guests a choice of a full English
breakfast, a continental breakfast, or no breakfast. The probabilities of the choices being made
are 0.45, 0.25 and 0.3 respectively. It is assumed that the breakfast choice is independent
among guests. (a) On a particular morning, there are full houses in the hostel. Calculate the
probability that (i) at least 3 guests prefer a continental breakfast, (ii) more than 4 and at most
6 guests prefer a full English breakfast. (b) Calculate the mean and the standard deviation for
the number of guests requiring breakfast when there are 18 guests in the hostel.
Transcribed Image Text:A hostel in Country X can have 20 guests in capacity and offer guests a choice of a full English breakfast, a continental breakfast, or no breakfast. The probabilities of the choices being made are 0.45, 0.25 and 0.3 respectively. It is assumed that the breakfast choice is independent among guests. (a) On a particular morning, there are full houses in the hostel. Calculate the probability that (i) at least 3 guests prefer a continental breakfast, (ii) more than 4 and at most 6 guests prefer a full English breakfast. (b) Calculate the mean and the standard deviation for the number of guests requiring breakfast when there are 18 guests in the hostel.
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