How much more likely is a car crash to happen on wet roads?
50/50 really if you think about it depends on the driver.
Probability of die being greater then 0?
assuming that it is a regular die with numbers 1-6 on them the probability is 1
Derivation of variance of non-central chi-square disribution?
The browser available here is not suited for the purpose. You will need to refer to a statistical site or even a book!
I've included a couple of links. Statistical theory can never tell you how many samples you must take, all it can tell you the expected error that your sample should have given the variability of the data.
Worked in reverse, you provide an expected error and the variability of the data, and statistical theory can tell you the corresponding sample size.
The calculation methodology is given on the related links.
When 2 dice are rolled what is the probability of getting a 5?
If you want 5 on both dice then it would be 2 out of twelve. If you want just 5 on one, 1 of six.
Pay attention in school next time! :p
Why Central Limit Theorem does not work for sample max?
Because other than in a degenerate case, the maximum of a set of observations is not at its centre! And the theorem concerns the distribution of estimates of the central value - as the name might suggest!
How tall would a house of card be if you used a fifty-two card deck?
Depends on the architectural design. There could be 1 to n stories (levels) in the house. The cards could be laid on the short or long side. The angle at which the cards are leaned toward each other could differ.
(I think he meant using the original Pyramid type stacking)
What phase includes determining what you would do in the event a disaster should occur?
Your Q begins "What a phase," which is unclear; did you mean "What phrase..."?
What is the probability of rolling a 1 or a 5 on two dice?
It is 1 - Prob(not rolling a 1 nor a 5 on either die)
(4/6)2 = (2/3)2 = 4/9 = 0.444... recurring.
Why must there be a probable cause before a warrant is issued?
For the "probable cause" that a criminal event has, or is about to occur, and by serving the warrant (search or arrest) the crime can be solved or prevented.
Probable Cause (partial definition): " . . is more than mere suspicion but less than the amount of evidence required for conviction."
What is the probability that someone lives if they have a 10 percent chance of dying in 10 years?
The probability of someone living for ten years is 90%.
What are the possibities for the intersection of a triangle and a paralleogram in a plane?
Depending on their sizes and orientation, any shape from a triangle to a dodecagon.
No it is not. Sample space is: H,H & H,T & T,H & TT. As you can see, the probability of H,H is 1/4 and the probability of a H & T is 1/2.
The first four cards could all be of different suits.
The next four cards might also all be of different suits.
This would mean that you would have two of each suit.
Then you might have to draw a ninth card to be sure of having three of the same suit.
Most parametric and many non-parametric tests for testing the significance of hypotheses are based on the assumption of normality - or approximate normality.