Question

Find the area under the standard normal probability distribution between the following pairs of​ z-scores. a. zequals0 and zequals1.00 b. zequals0 and zequals2.00 c. zequals0 and zequals3.00 d. zequals0 and zequals0.62

Answer 1

Answer:

Step-by-step explanation:

We will look at the normal distribution table for the probability values.

1) for z = 0, probability value = 0.5

for z = 1, probability value = 0.84

Area under the curve = 0.84 - 0.5 = 0.34

2) for z = 0, probability value = 0.5

for z = 2, probability value = 0.98

Area under the curve = 0.98 - 0.5 = 0.48

3) for z = 0, probability value = 0.5

for z = 3, probability value = 0.999

Area under the curve = 0.999 - 0.5 = 0.499

4) for z = 0, probability value = 0.5

for z = 0.62, probability value = 0.73

Area under the curve = 0.73 - 0.5 = 0.39