An Ice cream shop examines the orders of his customers, and noticed that: All his customers bought at least one scoop of ice cream 70% of the customers bought more than one scoop 20% of the customers chose vanilla flavor Of the customers who bought more than one scoop, 15% chose vanilla. Find the probability of a customer bought just one scoop, and this scoop was not vanilla a. flavor. b. A customer is noticed to has a vanilla order, what is the probability that he bought only one scoop? C. A customer is noticed to has a one scoop only, what is the probability that he chose a vanilla flavor? d. Find the probability of a customer bought more that scoop with vanilla flavor.

An Ice cream shop examines the orders of his customers, and noticed that: All his customers bought at least one scoop of ice cream 70% of the customers bought more than one scoop 20% of the customers chose vanilla flavor Of the customers who bought more than one scoop, 15% chose vanilla. Find the probability of a customer bought just one scoop, and this scoop was not vanilla a. flavor. b. A customer is noticed to has a vanilla order, what is the probability that he bought only one scoop? C. A customer is noticed to has a one scoop only, what is the probability that he chose a vanilla flavor? d. Find the probability of a customer bought more that scoop with vanilla flavor.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.

Question

An ice cream shop examines the orders of his customers, and noticed that:
All his customers bought at least one scoop of ice cream
70% of the customers bought more than one scoop
20% of the customers chose vanilla flavor
Of the customers who bought more than one scoop, 15% chose vanilla.
a.
Find the probability of a customer bought just one scoop, and this scoop was not vanilla
flavor.
A customer is noticed to has a vanilla order, what is the probability that he bought only one
scoop
A customer is noticed to has a one scoop only, what is the probability that he chose a vanilla
b.
C.
flavor?
d.
Find the probability of a customer bought more that scoop with vanilla flavor.

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