You and your friend are selling tickets to a charity event. You sell 11 adult tickets and 8 student tickets for $158. Your frien
d sells 5 adult tickets and 17 student tickets for $152. What is the cost of a student ticket?
2 answers:
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Answer:
See the proof below.
Step-by-step explanation:
Assuming this complete question: "For each given p, let Z have a binomial distribution with parameters p and N. Suppose that N is itself binomially distributed with parameters q and M. Formulate Z as a random sum and show that Z has a binomial distribution with parameters pq and M."
Solution to the problem
For this case we can assume that we have N independent variables with the following distribution:
bernoulli on this case with probability of success p, and all the N variables are independent distributed. We can define the random variable Z like this:
From the info given we know that
We need to proof that by the definition of binomial random variable then we need to show that:
The deduction is based on the definition of independent random variables, we can do this:
And for the variance of Z we can do this:
And if we take common factor we got:
And as we can see then we can conclude that
<u><em>Answer:</em></u>
He read 1/3 of the book on the second day
He didn't finish the book in two days.
<u><em>Step-by-step explanation:</em></u>
Lets find 3/5 of 5/9
If we said, find 3/5 of x, the answer would be 3/5x.
3/5*x = 3/5x
In the same way,
He read 1/3 of the book on the second day
Does 5/9 + 1/3 equal to 1?
1/3 = 3/9
5/9 + 3/9 = 8/9
He didn't finish the book in two days.
Hope this helps :)
Have a nice day!