Q. 94. Late flights An airline reports ... [FREE SOLUTION]

91影视

The Practice of Statistics for AP Examination

Daren Starnes, Josh Tabor

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 837 pages

ISBN: 9781319113339

Chapter 5: Q. 94. (page 347)

Late flights An airline reports that 85% of its flights arrive on time. To find the
probability that a random sample of 4 of this airline鈥檚 flights into LaGuardia Airport in New York City on the same night all arrive on time, can we multiply (0.85)(0.85)(0.85)(0.85)? Why or why not?

Short Answer

Expert verified

No, because the provided events cannot be considered independent events

Step by step solution

Given information

$P$ (Flight arrives on time) $= 85 % = 0.85$
$P$ (All flights are on time) $= 0.5220$

Explanation

The probability of flights arriving on time is not independent, which means that if one flight is delayed, another flight may also be delayed as a result of the first flight's delay. Because the events are not self-contained. As a result, the results are incorrect because they were calculated using the multiplication rule, which is only used in the case of independent events.

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Vehicle Type	Passenger car	Pickup Truck	SUV	Crossover	Minivan
Probability	$0.46$	$0.15$	$0.10$	$?$	$0.05$

91影视

Late flights An airline reports that 85% of its flights arrive on time. To find the
probability that a random sample of 4 of this airline鈥檚 flights into LaGuardia Airport in New York City on the same night all arrive on time, can we multiply (0.85)(0.85)(0.85)(0.85)? Why or why not?

Short Answer

Step by step solution

Given information

Explanation

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91影视

Late flights An airline reports that 85% of its flights arrive on time. To find theprobability that a random sample of 4 of this airline鈥檚 flights into LaGuardia Airport in New York City on the same night all arrive on time, can we multiply (0.85)(0.85)(0.85)(0.85)? Why or why not?

Short Answer

Step by step solution

Given information

Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Logic and Functions

Probability and Statistics

Geometry

Mechanics Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

Late flights An airline reports that 85% of its flights arrive on time. To find the
probability that a random sample of 4 of this airline鈥檚 flights into LaGuardia Airport in New York City on the same night all arrive on time, can we multiply (0.85)(0.85)(0.85)(0.85)? Why or why not?