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



Answer :

Answer: 5 days

Step-by-step explanation:

To solve this problem, we need to find the number of days when the midday temperature was between 39°C and 42°C, assuming a normal distribution.

Given information:

Mean midday temperature in June: 36°C

Standard deviation: 3°C

Number of days in June: 30

Step 1: Convert the temperature range to z-scores.

z-score for 39°C = (39 - 36) / 3 = 1

z-score for 42°C = (42 - 36) / 3 = 2

Step 2: Find the probability of the temperature being between 39°C and 42°C.

Probability = P(1 ≤ z ≤ 2)

Using a standard normal distribution table or calculator, the probability is approximately 0.1587.

Step 3: Calculate the number of days when the temperature was between 39°C and 42°C.

Number of days = 30 × 0.1587 = 4.761 days

Since the question asks for the number of days, the correct answer from the drop-down menu is 5 days.

Answer:

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