Respuesta :
Answer:
a) 20%
b) 80%
c) There is 4% probability that both will be marketing majors.
d) There is a 36% probability that at least one will be a marketing major.
Step-by-step explanation:
At your school, 20% of the class are marketing majors.
This means that for each student, there is a 20% that he is a marketing major and an 80% chance that he is not a marketing major.
a) What is the probability that the first partner will be a marketing major?
The probabilities for each student are independent, so it is 20%.
b) What is the probability that the first partner won't be a marketing major?
80%
c) What is the probability that both will be marketing majors?
For each one, it is 20%. So:
[tex]P = 0.2*0.2 = 0.04[/tex]
There is 4% probability that both will be marketing majors.
d) What is the probability that at least one will be a marketing major?
That is one of them or both. For both, we found in c) that it is 4%.
For one of them, there are two cases. Either the first partner is and the second is not, or the other way. So, the probability that at least one will be a marketing major is
[tex]P = 0.04 + 2*0.2*0.8 = 0.36[/tex]
There is a 36% probability that at least one will be a marketing major.
Probability that the first partner will be a marketing major is 0.2, probability that the first partner won't be a marketing major is 0.8, probability that both will be marketing majors is 0.04 and probability that at least one will be a marketing major is 0.36
What is probability ?
Probability is chances of occurring of an event.
Given that 20% of the class are marketing majors
Now the probability that the first partner will be a marketing major can be calculated as
P(first partner will be a marketing major)= 20%= 20/100=0.2
Now the probability that the first partner won't be a marketing mbajor can be calculated as
P(first partner won't be a marketing major)=1-p(first partner will be a marketing major)=1-0.2=0.8
Now the probability that both will be marketing majors can be calculated as
P(both will be marketing majors)=[tex]0.2\times0.2=0.04[/tex]
Now the probability that at least one will be a marketing major can be calculated as
P(at least one will be a marketing major)=1-P(none of them have marketing major =[tex]1-0.8*0.8=1-0.64=0.36[/tex]
Probability that the first partner will be a marketing major is 0.2, probability that the first partner won't be a marketing major is 0.8, probability that both will be marketing majors is 0.04 and probability that at least one will be a marketing major is 0.36
To learn more about probability visit : brainly.com/question/24756209
