A pertsn if contesting for an Engineer pasition in boo Companies, A and B- The chance of his puceess o become Engineer of he of winning A s 70%, wheread the possibility company N The Enginer of company B in os. What is the 0) Hhe will become pabability hat the Engineer of botth comparnie ( He will becomo the Engineer of at leaut one company li He will hot become the Engineer of at least one company Enginear

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A pertsn if contesting for an Engineer pasition in boo
Companies, A and B- The chance of his puceess o become
Engineer of
he
of winning
A s 70%, wheread the possibility
company
N The Enginer of company B in os. What
is the
0) Hhe will become
pabability hat
the Engineer
of botth comparnie
( He will becomo the Engineer of at leaut one company
li He will hot become the Engineer
of at least one company
Enginear
Transcribed Image Text:A pertsn if contesting for an Engineer pasition in boo Companies, A and B- The chance of his puceess o become Engineer of he of winning A s 70%, wheread the possibility company N The Enginer of company B in os. What is the 0) Hhe will become pabability hat the Engineer of botth comparnie ( He will becomo the Engineer of at leaut one company li He will hot become the Engineer of at least one company Enginear
Expert Solution
Part i

Obtain the probability that he will become engineer of both the companies.

The probability that he will become engineer of both the companies is obtained below:

 

Event:

 

The collection of outcomes in an experiment is called as an event.

 

Independent Events:

 

Any two events A and B are said to independent if the occurrence of the event A does not affect the occurrence of another event B.

Statistics homework question answer, step 1, image 1

From the information, given that

 

Let A denote the probability that he will become engineer in company A. That is, P(A)=0.70.

Let B denote the probability that he will become engineer in company B. That is, P(B)=0.50.

 

Since both the events A and B are independent events.

 

The required probability is,

Statistics homework question answer, step 1, image 2

The probability that he will become engineer of both the companies is 0.35.

 

 

Part ii

Obtain the probability that he will become the Engineer of at least one company.

The probability that he will become the Engineer of at least one company is obtained below:

 

Addition rule:

Statistics homework question answer, step 2, image 1

The required probability is,

Statistics homework question answer, step 2, image 2

The probability that he will become the Engineer of at least one company is 0.85.

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