According to the Harris Poll, 70 % of dog owners buy their dogs holiday presents. Suppose you select a random sample of 25 dog o
wners from among the population of 30 dog owners at the dog park. Let X be a random variable equal to the number of dog owners who buy their dogs holiday presents.
1 answer:
The concluding part is missing in the question and it says we should find the probability that 2 of the people selected cook meals for their dogs
Answer:
P(x2) = 0.1857
Step-by-step explanation:
N = 30; since there are 30 people that own dogs
k = 21; since there are 70% of dog owners who buy gifts for their dogs
n = 25; since we randomly select 25 people among the dog owners
x = 2; since we randomly select 2 people who cook meals for their dogs
Therefore, for clarity sake the solution is in the attachment ;
And the probability is 0.1857
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<h2>If we placed the number 10 in the box, we obtain a system of equations with infinitely many solutions.</h2>Step-by-step explanation:
The given system is
<em>It's important to know that a system with infinitely many solutions, it's a system that has the same equation</em>, that is, both equation represent the same line, or as some textbooks say, one line is on the other one, so they have inifinitely common solutions.
Having said that, the first thing we should do here is reorder the system
This way, you can compare better both equations. If you look closer, observe that the second equation is double, that is, it can be obtained by multiplying a factor of 2 to the first one, that is
So, by multiplying such factor, we obtaine the second equation. Observe that must be equal to 10, that way the system would have infinitely solutions.
Therefore, the answer is 10.