4.4.3 Test (CST) Continuous Probability Distributions PLEASE HELP!!!
The head-to-tail length of a species of fish is normally distributed, with a mean of 17.4 cm and a standard deviation of 3.2 cm. One fish is 15.3 cm long. What is the z-score of the length of this fish? Round your answer to two decimal places.
A. -0.86
B. -0.66
C. 0.86
D. 0.66

B

Step-by-step explanation:

We have that for a normal distribution, the value of z can be calculated using the following formula:

z = (x - m) / sd

where x is the value to evaluate, m the mean and sd the standard deviation, we have those values x = 15.3, m = 17.4 and sd = 3.2

if we replace we have:

z = (15.3 - 17.4) /3.2

z = -0.65625

if we round to 2 decimal places, it would be -0.66, that is, the answer is B.

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents