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Kitty [74]
3 years ago
8

One box contains six red balls and four green balls, and a second box contains seven red balls and three green balls. A ball is

randomly chosen from the first box and placed in the second box. Then a ball is randomly selected from the sec- ond box and placed in the first box.
a. What is the probability that a red ball is selected from the first box and a red ball is selected from the second box?
b. At the conclusion of the selection process, what is the probability that the numbers of red and green balls in the first box are identical to the numbers at the beginning?
Mathematics
1 answer:
OverLord2011 [107]3 years ago
7 0
A. The probability of the first box is 60% or 6/10 and the second box is 70% or 7/10
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aivan3 [116]

The table is not clear, so i have attached it.

Answer:

z statistic is -2.26

This is less than our alpha level,therefore we reject the null hypothesis and conclude that there is a significant difference in the proportion of homeowners between first generation and second generation Hispanic Americans

Step-by-step explanation:

From the attached table, we can see that;

first-generation hispanic americans; (N = 899 and percentage = 43%

second-generation hispanic americans; N = 351 and percentage = 50%

first-generation asian americans; (N = 2,684 and percentage = 58%

second-generation asian americans; N = 566 and percentage = 51%

Z-score formula in this case is;

z = (p1^ - p2^)/(√(p^(1 - p^)((1/n1) + (1/n2))

Where;

p^ = (p1 + p2)/(n1 + n2)

For, hispanic americans we have;

p1^ = 0.43 × 899 = 386.57

p2^ = 0.5 × 351 = 175.5

p^ = (386.57 + 175.5)/(899 + 351)

p^ = 0.45

Thus;

z = (0.43 - 0.5)/(√(0.45(1 - 0.45)((1/899) + (1/351))

z = -2.26

From z-distribution table, we have;

P-value = 0.01191

Since we have 2 samples, then probability = 2 × 0.01191 = 0.02382

This is less than our alpha level of 0.05,therefore we reject the null hypothesis and conclude that there is a significant difference in the proportion of homeowners between first generation and second generation Hispanic Americans.

3 0
3 years ago
7.05, 5.07,7.5,0.57 least to greatest
Rudiy27

0.57 , 5.07 , 7.05 , 7.5

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Step-by-step explanation:

<em>The area for a rectangle or square is Width times Length (W*L)</em>

<em>So we can take our given measurements and multiply them</em>

<em />5*7=35<em />

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Answer:

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