Mathematics: The probability that a university graduate will be offered no jobs within a month of graduation is estimated to be 10%. the probability of receiving one, two, and three job offers has similarly been estimated to be 43%, 34%, and 13%, respectively. determine the following probabilities: a. p (a graduate is offered fewer than two jobs) b. p (a graduate is offered more than one job)

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The probability that a university graduate will be

ashah1260

10.01.2022

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. P(X=0)=0.10

The probability of receiving one job offers has similarly been estimated to be 43% i.e. P(X=1)=0.43

The probability of receiving two job offers has similarly been estimated to be 34% i.e. P(X=2)=0.34

The probability of receiving three job offers has similarly been estimated to be 13% i.e. P(X=3)=0.13

a) P (A graduate is offered fewer than two jobs) i.e. P(X<2)

So, P(X

P(X

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, P(X1)=P(X=2)+P(X=3)

P(X1)=0.34+0.13

P(X1)=0.47

P(A graduate is offered more than one job) = 0.47.

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