SOLUTION: sue, a botanist, is studying a new plant seed it is known that these seeds have a 95% probability of germination. If sue plants six seeds, what is the probability that exactly four
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Question 1041343: sue, a botanist, is studying a new plant seed it is known that these seeds have a 95% probability of germination. If sue plants six seeds, what is the probability that exactly four seeds will germinate
You can put this solution on YOUR website! This problem requires the application of the binomial probability formula
:
Probability that 4 seeds will germinate = 6C4 * (0.95)^4 * (0.05)^(6-4) =
:
(6! / (4! * (6-4)!)) * 0.8145 * 0.0025 =
:
15 * 0.8145 * 0.0025 = 0.03054375 approx 0.03
:
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probability that exactly 4 seeds germinate is 0.03
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note that the general form of the formula is
:
Probability(exactly r events occur out of n trials) = nCr * p^r * q^(n-r), where
nCr = n! / (r! * (n-r)!) - combination of n things taken r at a time
n = number of events
r = number of successes
p = probability of success
q = 1 - p
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