Evaluate a - b if a = 5 and b = 7.
2 answers:
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Using the hypergeometric distribution, it is found that there is a 0.7568 = 75.68% probability that neither can wiggle his or her ears.
The people are chosen from the sample without replacement, which is why the <u>hypergeometric distribution</u> is used to solve this question.
Hypergeometric distribution:
The parameters are:
- x is the number of successes.
- N is the size of the population.
- n is the size of the sample.
- k is the total number of desired outcomes.
In this problem:
- 1000 people means that
- 130 can wiggle their ears, thus
- Two are selected, thus
.
The probability that neither can wiggle his or her ears is P(X = 0), thus:
0.7568 = 75.68% probability that neither can wiggle his or her ears.
A similar problem is given at brainly.com/question/24826394
Area of sector is 17.584 meters
<em><u>Solution:</u></em>
Given that we have to find the approximate area of a sector given O= 56 degrees with a diameter of 12m
Diameter = 12 m
Radius = Diameter / 2 = 6 m
An angle of 56 degrees is the fraction of the whole rotation
A sector of a circle with a sector angle of 56 degrees is therefore also the fraction of the circle
The area of the sector will therefore also be of the area
Thus area of sector is 17.584 meters