Question

For a Standard Normal Distribution
1. P(z is less than or equal to 1.33)
2. P(z is less than or equal to -2.33)
3. P(z is greater than or equal to 2.35)
4. P(-2.33 is less than z is less than 2.33)
5. P(2.33 is less than z is less than 2.95)

Answer 1

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On topic about the question,

Standard normal distribution tables such as:
http://www.math.unb.ca/~knight/utility/NormTble.htm
give probabilities for 0<Z<infinity.
For these ranges, you can read directly, for example,
P(Z<1.96)=0.975.
So for #1, you read directly on the line 1.3 and column 0.03.

For #2, we note that the distribution is symmetrical about Z=0, so
P(Z<-2.33) is the same as P(Z>2.33)
which again is the same as
1-P(Z<2.33) because we know that the area under a probability distribution function adds up to 1.
For the remaining questions, work is similar to #2.

Answer 2

do yo have to resort to tables, or can you use a ti83 or similar calculator? even excel has a normal cumulative function