Respuesta :
Answer:
C) Yes, because the joint probability of P and M is equal to 0.
Step-by-step explanation:
Given that, P represents the event that the selected person preferred pepperoni only.
And M represents the event that the selected person preferred mushroom only.
so, P and M are two mutually exclusive events because two events are mutually exclusive if they do not occur together.
Here, P and M cannot occur at same time.
so, the joint probability of P and M i.e) probability of both P and M to occur at same time is zero.
In the given problem we have 55 percent preferred pepperoni only, 30 percent preferred mushroom only, and 15 percent preferred something other than pepperoni and mushroom. The probability of event can be identified by selecting how many people can chose pepperoni and mushroom.
The correct option is (c)
Given:
Pepperoni preferred by 55 percent.
Mushroom preferred by 30 percent.
The people who preferred other than Mushroom and Pepperoni are 15 percent.
In the given problem, A person can not select both pepperoni and mushroom because percentages of the pizza preferences adds to 1 in this survey. So, the mathematically,
P(P∩M)=0P(P∩M)=0
The above expression indicates the events are mutually exclusive.
Therefore, the joint probability of P and M is equal to 0.
Thus, the correct option is (c)
Learn more about what probability is here:
https://brainly.com/question/19955692
