Question

. Female students at a certain university participate in sports with the following probabilities:

Soccer = 0.30 Basketball = 0.20

Tennis = 0.20

Both Soccer and Basketball = 0.10 Both Soccer and Tennis = 0.12 Both Basketball and Tennis = 0.08

All three Sports = 0.06

a. Construct the associated Venn diagram with ALL probabilities
specified.

You select one female student at random for an interview, determine the probability she plays

b. at least one of the three sports.

c. exactly one of the three sports.

d. exactly two of the three sports.

e. tennis given she does not play soccer.

f. tennis given she plays exactly one sport. g. exactly one sport
given she plays tennis.

Answer #1

let A,B and C are event of playing Soccer , Basketball and Tennis \

P(A)= | 0.3 | ||

P(B)= | 0.2 | ||

P(C)= | 0.2 | ||

P(AnB)=P(A)+P(B)-P(A U B)= | 0.1 | ||

P(BnC)=P(B)+P(C )-P(B U C)= | 0.08 | ||

P(AnC)=P(A)+P(C)-P(A U C)= | 0.12 |

P(AnBnC)=P(A)+P(B)+P(C)-P(AnB)-P(AnC)-P(BnC)+P(AuBuC)= | 0.06 |

a)

b)

least one=P(AUBUC)=P(A)+P(B)+P(C )-P(AnB)-P(BnC)-P(AnC)+P(AnBnC)= | 0.46 |

c)

exactly one =P(A)+P(B)+P(C )-2(P(AnB)+P(BnC)+P(AnC))+3*P(AnBnC) = | 0.28 |

d)

exactly two = | P(AnB)+P(AnC)+P(BnC)-3P(AnBnC)=0.12 |

e)

P(C|A^{c}) =P(Ac n C)/P(Ac)
=(0.2-0.12)/(1-0.3)=0.1143

f)

P(C|exactly one) =0.06/0.28 =0.2143

g)

P(exactly one |tennis) =0.06/0.2 =0.3

A certain system can experience three different types of
defects. Let Ai (i = 1,2,3) denote the
event that the system has a defect of type i. Suppose that
the following probabilities are true.
P(A1) = 0.11
P(A2) = 0.06
P(A3) = 0.04
P(A1 ∪
A2) = 0.14
P(A1 ∪
A3) = 0.13
P(A2 ∪
A3) = 0.08
P(A1 ∩
A2 ∩ A3) = 0.01
(Round your answers to two decimal places.)
(a) Given that the system has a type...

Multiple Choice
Select the best answer from the available choices for each
question.
Which of the following is NOT part of the definition of
a sample space S?
S can be discrete or continuous
Each outcome must be in S at most once
Each element in S is equally likely
Each outcome must be in S at least once
S is a set of possible outcomes in an experiment
Three A’s, three B’s, and two C’s are arranged at
random...

READ THE CASE STUDY AND ANSWER THE FOLLOWING QUESTIONS
2nd CASE: An
Unexplained Death
A 65-year-old man of Scandinavian descent was rushed to the
Emergency Room of your local hospital after a family member
discovered him unconscious in his home. The woman who dialed “911”
told the dispatcher that the man, her brother, was the local
librarian of the past 10 years and had no spouse or children. She
reported that they had spoken the day before, and he had...

Please answer the following Case
analysis questions
1-How is New Balance performing compared to its primary rivals?
How will the acquisition of Reebok by Adidas impact the structure
of the athletic shoe industry? Is this likely to be favorable or
unfavorable for New Balance?
2- What issues does New Balance management need to address?
3-What recommendations would you make to New Balance Management?
What does New Balance need to do to continue to be successful?
Should management continue to invest...

Please read the article and answear about
questions.
Determining the Value of the Business
After you have completed a thorough and exacting investigation,
you need to analyze all the infor- mation you have gathered. This
is the time to consult with your business, financial, and legal
advis- ers to arrive at an estimate of the value of the business.
Outside advisers are impartial and are more likely to see the bad
things about the business than are you. You should...

read Seasons of Love chapter:measuring a child's life
after suicide. please answer the questions : reflect on what
happens to the families when there is a suicide in the family,
based on the Seasons of Love chapter...how should people be told?
What details are best left unshared?
below is the story
These theories may have a certain face-validity, but they often
neglect environmental or contextual factors that are innate to
answering the question of “why” a person might engage in...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 24 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago