Final answer:
To find the probability of tea consumption in 25 households being between 2.5 and 3.2 kg, standardize the values using the mean and standard deviation and use a standard normal distribution table or calculator to find the probability.
Step-by-step explanation:
The question asks for the probability of the consumption of tea in 25 households being between 2.5 and 3.2 kg. To find this probability, we need to know the mean and standard deviation of the consumption of tea in these households. Let's assume that the mean consumption of tea is 2.8 kg and the standard deviation is 0.5 kg.
First, we need to standardize the values 2.5 kg and 3.2 kg using the formula: z = (x - mean) / standard deviation. For 2.5 kg, z = (2.5 - 2.8) / 0.5 = -0.6. For 3.2 kg, z = (3.2 - 2.8) / 0.5 = 0.8.
Next, we can use a standard normal distribution table or a calculator to find the probability associated with the z-scores -0.6 and 0.8. This probability represents the likelihood of the consumption of tea being between 2.5 and 3.2 kg in these 25 households.