A set of average city temperatures in May are normally distributed with a mean of 20.66°C and a standard

deviation of 2 C. The average temperature of Singapore is 26°C!

What proportion of average city temperatures are lower than that of Singapore?

You may round your answer to four decimal places.

Round your answer to four decimal places

We have been given that a set of average city temperatures in May are normally distributed with a mean of 20.66°C and a standard  deviation of 2 C. The average temperature of Singapore is 26°C. We are asked to find the proportion of average city temperatures that are lower than that of Singapore.

First of all, we will find z-score corresponding to sample score of 26.

, where,

z = z-score,

x = Random sample score,

= Mean,

= Standard deviation.

Now we need to find probability of a z-score less than 2.67 that is .

Using normal distribution table, we will get:

Upon rounding to 4 decimal places, we will get:

Therefore, approximately of average city temperatures are lower than that of Singapore.

the 3rd option is right

step-by-step explanation: