# Quiz 3 mat500 | Mathematics homework help

**Question 1 **

1. Probability trees are used barely to scold occupied probabilities.

Answer

[removed]True

[removed]False

2 points

**Question 2 **

1. Seventy two percent of all observations descend among 1 model inconsequence of the balance if the axioms is typically nice.

Answer

[removed]True

[removed]False

2 points

**Question 3 **

1. If two events are not mutually unpopular, then P(A or B) = P(A) + P(B)

Answer

[removed]True

[removed]False

2 points

**Question 4 **

1. The Hurwicz ordeal is a arbitrate betwixt the minimax and minimin criteria.

Answer

[removed]True

[removed]False

2 points

**Question 5 **

1. Using the minimax sorrow ordeal, we primary erect a consultation of sorrows. Subsequently, for each approvely sentence, we face abutting the set-forths of affection and fashion a melody of the acme sorrow approvely for that sentence. We then glean the sentence behind a while the largest acme sorrow.

Answer

[removed]True

[removed]False

2 points

**Question 6 **

1. The correspondent approvelihood ordeal refers a approvelihood of 0.5 to each set-forth of affection, heedless of how abundant set-forths of affection there are.

Answer

[removed]True

[removed]False

2 points

**Question 7 **

1. Both maximin and minimin criteria are optimistic.

Answer

[removed]True

[removed]False

2 points

**Question 8 **

1. The chi-square ordeal is a statistical ordeal to see if an observed axioms fit a _________.

Answer

[removed]

Normal approvelihood dispensation

[removed]

continuous approvelihood dispensation

[removed]

particular approvelihood dispensation

[removed]

All of the above

2 points

**Question 9 **

1. Assume that it admits a propaganda novice an mediocre of 5 minutes to ascertain a parking blot in the deep parking lot. Assume to-boot that this era is typically nice behind a while a model inconsequence of 2 minutes. Ascertain the approvelihood that a randomly clarified propaganda novice procure admit betwixt 2 and 6 minutes to ascertain a parking blot in the deep parking lot.

Answer

[removed]

0.1950

[removed]

0.4772

[removed]

0.4332

[removed]

0.6247

2 points

**Question 10 **

1. A confessor would approve to localize the typical dispensation to refer gaits such that 5% of novices entertain A's. If the exam mediocre is 62 behind a while a model inconsequence of 13, what gait should be the cutoff for an A? (Round your reply.)

Answer

[removed]

80

[removed]

83

[removed]

90

[removed]

93

2 points

**Question 11 **

1. A matter proprietor is unmanageable to run whether to buy, divulsion, or lease function quantity and has erected the forthcoming payoff consultation inveterate on whether matter is quick or sluggish.

The maximax diplomacy is:

Answer

[removed]

Rent

[removed]

Buy

[removed]

Brisk

[removed]

Slow

2 points

**Question 12 **

1. The maximin ordeal results in the

Answer

[removed]

poverty of the acme payoffs

[removed]

acme of the acme payoffs

[removed]

acme of the poverty payoffs

[removed]

poverty of the poverty payoffs

2 points

**Question 13 **

1. A order of friends are projectning a recreational jaunt and bear erected the forthcoming payoff consultation to acceleration them run which energy to attract in. Assume that the payoffs illustrate their flatten of action for each energy inferior the several clime provisions.

Weather

Cold Warm Rainy

S1 S2 S3

Bike: A1 10 8 6

Hike: A2 14 15 2

Fish: A3 7 8 9

What is the unrepealed sentence for this standing?

Answer

[removed]

A1

[removed]

A2

[removed]

A3

[removed]

Any of the above

2 points

**Question 14 **

1. A order of friends are projectning a recreational jaunt and bear erected the forthcoming payoff consultation to acceleration them run which energy to attract in. Assume that the payoffs illustrate their flatten of action for each energy inferior the several clime provisions.

Weather

Cold Warm Rainy

S1 S2 S3

Bike: A1 10 8 6

Hike: A2 14 15 2

Fish: A3 7 8 9

If the order culls to minimize their acme sorrow, what energy procure they cull?

Answer

[removed]

A1

[removed]

A2

[removed]

A3

[removed]

Any of the above

2 points

**Question 15 **

1. A infamy of television has a durationera that is typically nice behind a while a balance of 7 years and a model inconsequence of 2.5 years. What is the approvelihood that a randomly selected TV procure familiar more than 8 years? *Note: Write your replys behind a while two places behind the decimal, rounding off as misapply.*

Answer [removed]

2 points

**Question 16 **

1. A duration insurance society wants to update its actuarial consultations. Assume that the approvelihood dispensation of the eras of the participants is closely a typical dispensation behind a while a balance of 71 years and a model inconsequence of 3.5 years. What uniformity of the project participants are expected to see their 75th birthday? *Note: Write your replys behind a while two places behind the decimal, rounding off as misapply.*

Answer [removed]

2 points

**Question 17 **

1. Consider the forthcoming sentence tree.

What is the expected prize for the best sentence? Round your reply to the right integral compute.

Answer [removed]

2 points

**Question 18 **

1. A supervisor has familiar a payoff consultation that indicates the produce associated behind a while a set of alternatives inferior 2 approvely set-forths of affection.

Alt S1 S2

1 10 2

2 -2 8

3 8 5

Compute the expected prize of blameless counsel pretentious that the approvelihood of S2 is correspondent to 0.4.

Answer [removed]

2 points

**Question 19 **

1. The kind guide supervisor for ENTA Inc. must run whether to recognize (a1), exalt awaken (a2) or renounce (a3) a lot of incoming embodied. Assume the forthcoming payoff consultation is conducive. Historical axioms indicates that there is 30% luck that the lot is penniless kind (s1), 50 % luck that the lot is just kind (s2) and 20% luck that the lot is good-tempered-tempered kind (s3).

What is the numerical prize of the maximin?

Answer [removed]

2 points

**Question 20 **

1. A matter proprietor is unmanageable to run whether to buy, divulsion, or lease function quantity and has erected the forthcoming payoff consultation inveterate on whether matter is quick or sluggish.

If the approvelihood of quick matter is .40, what is the numerical acme expected prize?

Answer [removed]