Using the binomial distribution, the probabilities are given as follows:
- 0.3675 = 36.75% probability that more than 4 weigh more than 20 pounds.
- 0.1673 = 16.73% probability that fewer than 3 weigh more than 20 pounds.
- Since P(X > 7) < 0.05, it would be unusual if more than 7 of them weigh more than 20 pounds.
<h3>What is the binomial distribution formula?</h3>
The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
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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Answer:
<em>YESSS</em><em>!</em><em>!</em><em>!</em><em> </em>
HOPE IT HELPED
8/12. 4/6. 2/3 is the simplest. Just keep dividing it down until you can't divide anymore:)
<u>Answer</u>
C. 4 + 6
D. 3.15151515.. + 4.6
E. √64 × √25
<u>Explanation</u>
A rational number is a number that can be expressed as a quotient or a fraction. That is it can be written as a/b.
π×6 = 6π ⇒ can not be written as a rational number.
√3 + √5 ⇒ the sum of two irrational numbers can not be rational.
4 + 6 = 10. Ten is a rational number. it can be written as 10/1
3.15151515.. + 4.6 = 104/33 + 23/5
= 1279/165
√64 × √25 = 8×5=40 This can be written as 40/1