Find area under the standard normal distribution represented by each probability. (Round to 4 decimal places)

Question

a) P(Z < 0.75):

b) P(Z > -0.42):

c) P(-0.69 < Z < 0.62):

d) P(Z = 0.52):

Answer 1

This can be answered by using tables, calculators (with normal distribution function), or statistical software.

The questions ask for cumulative distributions of a normal probability distribution. with specific limits.

The following is R code, but it can easily be converted to commands in a TI-8x or TI-9x series calculator

pnorm(.75) # note, stardard is lower.tail = TRUE

[1] 0.7734

pnorm(1-(-0.42))

[1] 0.9222

pnorm(.62) - pnorm(-0.69)

[1] 0.4873

# cumulative distribution is undefined for a single value

# showing probability distribution function result

dnorm(.52)

[1] 0.3485