Thank you. It's very annoying to have books like this. My Introduction to Probability and Statistics is filled with typos. It's horrible to be introduced to Probability with textbooks like this.
I have a problem that is suppose to be very basic, but it's hard for me to understand.
Problem:
Two dice are thrown. Let E be the event that the sum of the dice is odd; let F be the event that at least one of the dice lands on 1; and let G be the event that the sum is 5. Describe the events EF...
I understand:
But, I do not understand this part:
I know by one of the identities that P(Y=n-k) = P(X=k), but I don't know from where do you get the rest.
In the 1980s, an average of 121.95 workers died on the job each week. Give estimates of the following quantities:
a.) the proportion of weeks having 130 deaths or more;
b.) the proportion of weeks having 100 deaths or less.
Explain your reasoning.
Procedure
I'm not sure, how to start...
From what I posted originally:
If X and Y are binomial random variables with respective parameters (n,p) and (n,1-p), verify and explain the following identities:
a.) P{X<=i}= P{Y>=n-i};
b.) P{X=k}= P{Y=n-k}
I have proven part b.) and yes it's the same.
How do I prove part a.)...
If X and Y are binomial random variables with respective parameters (n,p) and (n,1-p), verify and explain the following identities:
a.) P{X<=i}= P{Y>=n-i};
b.) P{X=k}= P{Y=n-k}
Relevant Equations:
P{X=i}=nCi *p^(i) *(1-p)^(n-i), where nCi is the combination of "i" picks given "n"...