Question

Your roommate loves to eat Chinese food for dinner. He estimates that on any given night, there’s a 30% chance he’ll choose to eat Chinese food. Although he loves Chinese food, he doesn’t like to eat it too much in a short period of time, so on most weeks he eats several different kinds of foods for dinner. Suppose you wanted to calculate the probability that, over the next 7 days, you friend eats Chinese food at least 3 times. Which of the following is the most accurate statement about calculating this probability?

A. Because he doesn’t like to eat Chinese food too much in a short period of time, p is not really the same for each trial and so we cannot use the binomial distribution to calculate the desired probability.
B. Because "success" or "failure" have no real meaning in the context of this problem, we cannot use the binomial distribution to calculate the desired probability.
C. Because we do not know the probabilities of your roommate eating any other types of foods, we cannot use the binomial distribution to calculate the desired probability.

Answer 1

A. Because he doesn’t like to eat Chinese food too much in a short period of time, p is not really the same for each trial and so we cannot use the binomial distribution to calculate the desired probability.

Explanation:

As it is mentioned in the question that he doesn't like the Chinese too much in a very short interval so he prefers various other foods for dinner

So now we have to determine the probability for the next 7 days

So based on the options mentioned, we prefer option A as we do not use the binomial distribution here as it shows only success results that are not confirmed in the given case

Therefore, the correct option is A.