Solve the problem.
-The amount of rainfall in January in a certain city is normally distributed with a mean of 4.6 inches and a standard deviation of 0.3 inches. Find the value of the quartile $\mathrm { Q } _ { 1 }$
A)4.5
B)4.8
C)4.4
D)1.2

Question

Quizplus · Accepted Answer

The first quartile $Q_1$ is the 25th percentile of a normal distribution. Using the Z-table, the Z-score for the 25th percentile is approximately -0.675. Using the formula $Q_1 = \mu + Z \cdot \sigma$, where $\mu = 4.6$ and $\sigma = 0.3$, we get $Q_1 = 4.6 + (-0.675) \cdot 0.3 = 4.4$.

Solve the Problem Q1\mathrm { Q } _ { 1 }Q1​

Solve the Problem $\mathrm { Q } _ { 1 }$