Probability calculation using Standard Normal Distribution Table
Hi, I think this will be a simple question to answer but I can't seem to find a definitive answer anywhere, other than by observing examples and working out what I think is correct. :)
For Z~N(0,1), looking up P(z<1.62) for example, I get 0.5 + 0.4474 = 0.9474. Would P(z<=1.62) be the same?
It appears that all examples I've seen make no distinction between < and <= but I have an old question sheet from college that contains questions with some containing < and others containing <=, so I'd like to know if there is a difference, and if so how it affects obtaining a result from the table.
(If is doesn't make a difference can you give me a quick hint as to why? My (possibly faulty) logic tells me that the probability including 1.62, from the example above, should be slightly higher than that not including it. Or is it due to rounding, being that the table is to 2dp?)