Given :
Sunflower produce approximately 50 seeds per flower.
If one ounce of sunflower seeds contain an average of 72 seeds.
To Find :
How many flowers are needed to produce 2 pounds of seeds.
Solution :
1 pound = 16 ounces .
So , 2 pound = 32 ounces .
Number of seeds in 2 pounds of seeds, n = 32×72 = 2304 .
Number of flowers are :
So , approximate number of flower required are 46.
Hence, this is the required solution.
Using the binomial distribution, the probabilities are given as follows:
The formula is:
The parameters are:
The values of the parameters for this problem are:
n = 10, p = 0.4.
The probability that more than 4 weigh more than 20 pounds is:
In which:
Then:
Hence:
0.3675 = 36.75% probability that more than 4 weigh more than 20 pounds.
The probability that fewer than 3 weigh more than 20 pounds is:
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0061 + 0.0403 + 0.1209 = 0.1673
0.1673 = 16.73% probability that fewer than 3 weigh more than 20 pounds.
For more than 7, the probability is:
Since P(X > 7) < 0.05, it would be unusual if more than 7 of them weigh more than 20 pounds.
More can be learned about the binomial distribution at brainly.com/question/24863377
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