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Leni [432]
2 years ago
15

On a december day, the probability of snow is .30. the probability of a "cold" day is .50. the probability of snow and "cold" we

ather is .15. are snow and "cold" weather independent events?
Mathematics
1 answer:
Svetradugi [14.3K]2 years ago
7 0
Events A and B are independent if the following holds true:

P(A ∩ B) = P(A) * P(B)

where P(A ∩ B) is the probability of A and B, P(A) is the probability of A, and P(B) is the probability of B.

Setting A = "snow" and B = "cold weather", and plugging in the above numbers will give you the answer.
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Researchers from Dartmouth Medical School conducted a study in 2003 to look at the connection between watching actors smoking in
docker41 [41]

Answer:

The 95% confidence interval for the proportion of adolescents who tried smoking for the first time because of exposure to smoking in the movies is (0.37, 0.40).

Step-by-step explanation:

A confidence interval is an interval estimate of the population parameter. The confidence interval has a certain probability of consisting the true value of the parameter.

The (1 - <em>α</em>) % confidence interval for the population proportion (<em>p</em>) is given by:

CI=\hat p\pm z_{\alpha/2}\times \sqrt{\frac{\hat p(1-\hat p)}{n}}

The information provided is:

n = 6522\\\hat p=0.38\\z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

*Use a <em>z</em>-table for the critical value.

Construct the 95% confidence interval for the proportion of adolescents who tried smoking for the first time because of exposure to smoking in the movies as follows:

CI=\hat p\pm z_{\alpha/2}\times \sqrt{\frac{\hat p(1-\hat p)}{n}}\\=0.38\pm 1.96\times \sqrt{\frac{0.38(1-0.38)}{6522}}\\=0.38\pm 0.0118\\=(0.3682, 0.3918)\\\approx (0.37, 0.40)

Thus, the 95% confidence interval for the proportion of adolescents who tried smoking for the first time because of exposure to smoking in the movies is (0.37, 0.40).

8 0
2 years ago
In the picture, the angle made by the goniometer is classified as a(n) ___ angle. ___ ° &lt; θ &lt; ___ .
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2 years ago
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Use a daily production cost C for x units. A manufacturer of gas grills has daily production costs of C = 400 – 5x + 0.125x2, wh
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x = 5/0.25
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So, 20 gas grills should be produced each day to maintain minimum costs. Hope that helps! :)

8 0
2 years ago
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Gino has a stick of pepperoni that is 26 1/2 inches long. He wants to cut 1/2 inch pieces to put on his large pizza. How many pi
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