Question

Find the probability that at most 5 students will attend?

Answer 1

We can find the probability that at most 5 students will attend by finding the cumulative probability up to 5 using the normal distribution.

Step-by-step explanation:

To find the probability that at most 5 students will attend, we need to consider the total number of possible outcomes and the number of favorable outcomes.

Let's assume that the total number of students is represented by the variable 'n'. In this case, 'n' would be 12.

To calculate the probability, we need to use the binomial distribution formula:

P(X ≤ 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

You can calculate each individual probability using the binomial distribution formula:

`P(X = k) = (n choose k) * (p^k) * ((1-p)^(n-k))`

Using this formula, substitute the values and calculate each probability. Then, add them together to get the final probability.