If seven flowerbeds are each planted with 20 seedlings find the probability that at least 12 seedlings mature in exactly five of the flowerbeds.

Providing each seedling has a 0.7 chance of developing into a mature plant.

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- Jan 17th 2010, 04:15 AMBabyMiloProbability
If seven flowerbeds are each planted with 20 seedlings find the probability that at least 12 seedlings mature in exactly five of the flowerbeds.

Providing each seedling has a 0.7 chance of developing into a mature plant. - Jan 17th 2010, 05:41 AMSoroban
Hello, BabyMilo!

Quote:

A seedling has a 0.7 probability of developing into a mature plant.

Seven flowerbeds are each planted with 20 seedlings.

Find the probability that at least 12 seedlings mature in exactly five of the flowerbeds.

. .

The probability that*at least*12 mature is theof the above probabilities.*sum*

. . Call this sum

We have a choice of 5 of the 7 flowerbeds: .

. . Therefore: .