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Define
n = number of seeds planted.
k = number of seeds that successfully become plants.
The probability of making a profit is
p =50% = 0.5
Therefore the probability of not makng a profit is
q = 1 - p = 0.5
According to the binomial distribution, the probability of k successes out of n trials is
Create a table as shown below by using the graphing calculator.
n k P(k of n)
---- ----- ------------
4 2 0.375
8 4 0.273
10 5 0.246
12 6 0.226
16 8 0.196
20 10 0.176
50 25 0.0.112
100 50 0.08
A graph of this table shows that the probability of success i below 0.5 (50%) for all practical values of n (the number of seeds planted).
Answer: The farmer will lose money.
n = number of seeds planted.
k = number of seeds that successfully become plants.
The probability of making a profit is
p =50% = 0.5
Therefore the probability of not makng a profit is
q = 1 - p = 0.5
According to the binomial distribution, the probability of k successes out of n trials is
Create a table as shown below by using the graphing calculator.
n k P(k of n)
---- ----- ------------
4 2 0.375
8 4 0.273
10 5 0.246
12 6 0.226
16 8 0.196
20 10 0.176
50 25 0.0.112
100 50 0.08
A graph of this table shows that the probability of success i below 0.5 (50%) for all practical values of n (the number of seeds planted).
Answer: The farmer will lose money.