Respuesta :
Answer:
a) P(A graduate is offered fewer than two jobs) = 0.53.
b) P(A graduate is offered more than one job) = 0.47.
Step-by-step explanation:
Let X be a random variable denoting the number of jobs offers that a university graduate gets within a month of graduation.
The probability that a university graduate will be offered no jobs within a month of graduation is estimated to be 10% i.e. [tex]P(X=0)=0.10[/tex]
The probability of receiving one job offers has similarly been estimated to be 43% i.e. [tex]P(X=1)=0.43[/tex]
The probability of receiving two job offers has similarly been estimated to be 34% i.e. [tex]P(X=2)=0.34[/tex]
The probability of receiving three job offers has similarly been estimated to be 13% i.e. [tex]P(X=3)=0.13[/tex]
a) P (A graduate is offered fewer than two jobs) i.e. P(X<2)
So, [tex]P(X<2)=P(X=0)+P(X=1)[/tex]
[tex]P(X<2)=0.10+0.43[/tex]
[tex]P(X<2)=0.53[/tex]
P(A graduate is offered fewer than two jobs) = 0.53.
b) P (A graduate is offered more than one job) i.e. P(X>1)
So, [tex]P(X>1)=P(X=2)+P(X=3)[/tex]
[tex]P(X>1)=0.34+0.13[/tex]
[tex]P(X>1)=0.47[/tex]
P(A graduate is offered more than one job) = 0.47.
