Question

select the correct answer from the drop - down menu. the mean midday temperature recorded in june in a city in south california is 36°c, and the standard deviation is 3°c. the number of days in the month of june is 30. assuming the data is normally distributed, the number of days in june when the midday temperature was between 39°c and 42°c is

Explanation:

Step1: Calculate z - scores

The z - score formula is $z=\frac{x-\mu}{\sigma}$, where $\mu$ is the mean, $\sigma$ is the standard deviation, and $x$ is the value. For $x = 39^{\circ}C$, $\mu=36^{\circ}C$ and $\sigma = 3^{\circ}C$, $z_1=\frac{39 - 36}{3}=1$. For $x = 42^{\circ}C$, $z_2=\frac{42 - 36}{3}=2$.

Step2: Find the probability between the z - scores

Using the standard normal distribution table, $P(1

Step3: Calculate the number of days

The number of days in June is $n = 30$. The number of days with temperature between $39^{\circ}C$ and $42^{\circ}C$ is $n\times P(1

Answer:

4