Answer:
c = 0.80 (2 d.p.)
Step-by-step explanation:
If Z follows the standard normal distribution, it means that Z is a random variable that conforms to a normal distribution with a mean (μ) of 0 and a standard deviation (σ) of 1.
The expression P(Z ≤ c) = 0.7881 represents the probability that the random variable Z is less than or equal to a specific value c. In other words, it signifies the area under the standard normal distribution curve to the left of the point c.
To find the value of c, we can use the inverse normal (or inverse cumulative distribution) function on a calculator.
Using a calculator, the value of c for which P(Z ≤ c) = 0.7881 is:
c = 0.799845730...
Rounding it to two decimal places gives:
[tex]\LARGE\boxed{\boxed{c = 0.80 \;\rm (2 \;d.p.)}}[/tex]
