Each year three space shuttles are launched, two in June and one in October. If each shuttle is known to occur without a delay i

Question

3 years ago

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Each year three space shuttles are launched, two in June and one in October. If each shuttle is known to occur without a delay i

n 90% of the cases and if the current month is January, what is the probability that at least one of the launches in the next 16 months will be delayed?

Mathematics

1 answer:

Veronika [31] · Answer 1 · 2022-02-25T19:16:53+03:00

Answer:

0.271 or 27.10%

Step-by-step explanation:

If the present month is January, in 16 months there will be three space shuttles launched (two in June and one in October).

The probability that at least one launch will be delayed is 100% minus the probability that no launch will be delayed:

$P(delay>0) = 1 - P(delay=0)\\P(delay>0) = 1 -0.90^3\\P(delay>0) = 0.271$

The probability that at least one of the launches in the next 16 months will be delayed is 0.271 or 27.10%.