The frostburg truth bus travels on a straight - id4031297, preciousharrington13

Ответ:

blueboy58

17.05.2022

Mathematics

0.648

No, that is not an unusually low number of correct guesses.

Step-by-step explanation:

Suppose you take a 15 question True or False quiz and you guess on every problem. You only get 3 correct. Then

$p=\dfrac{3}{15}=\dfrac{1}{5}=0.2$ - correct; q=1-p=1-0.2=0.8

- o\incorrect.

The probability of getting 3 or fewer correct guesses is

$P(\text{3 or fewer})\\=P(0)+P(1)+P(2)+P(3)\\ \\=C^{15}_0p^0q^{15-0}+C^{15}_1p^1q^{15-1}+C^{15}_2p^2q^{15-2}+C^{15}_3p^0q^{15-3}\\ \\=1\cdot q^{15}+15pq^{14}+105p^2q^{13}+455p^3q^{12}\\ \\=(0.8)^{15}+15\cdot 0.2\cdot (0.8)^{14}+105\cdot (0.2)^2\cdot (0.8)^{13}+455\cdot (0.2)^3\cdot (0.8)^{13}\\ \\\approx 0.648$

Using the criteria that a number 3 is unusually low if P(3 or fewer) ≤ 0.05, we can state that 3 is not an unusually low number of correct guesses.

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The frostburg truth bus travels on a straight road from frostburg mall to sojourner truth park. the mall is 5 miles west and 3 miles south of the city center. the park is 4 miles east and 4 miles north of the center. how far is it from the mall to the park to the nearest tenth of a mile?

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