An airline reports that 85% of its flights arrive on time. To find the probability that its next four flights into LaGuardia Airport all arrive on time, can we multiply (0.85)(0.85)(0.85)(0.85)? Why or why not?

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Answer:

The answer is "no".

Step-by-step explanation:

No, because the probability besides simultaneous flights to arrive on time are not self-sufficient for every flight (when the first flight was late, therefore the probabilities during the next flight were significantly greater), because then the standard multiplication principle would be used for explanatory variables.

Yes, we can multiply (0.85)(0.85)(0.85)(0.85)

Let the four flight be represented by A, B, C, and D respectively

Probability that each of the flights arrive on time is 0.85

That is:

Probability that flight A arrives on time, P(A) = 0.85

Probability that flight B arrives on time, P(B) = 0.85

Probability that flight C arrives on time, P(C) = 0.85

Probability that flight D arrives on time, P(D) = 0.85

Probability that the next four flights arrive on time will be:

P(A) x P(B) x P(C) x P(D) = 0.85 x 0.85 x 0.85 x 0.85

Yes, we can multiply (0.85)(0.85)(0.85)(0.85)

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