16.4k views
5 votes
The probability of students choosing the left lunch line at school is p=0.431. Find the variance of the binomial distribution of 982 students choosing the left lunch line today.

User Clarissa
by
8.8k points

2 Answers

4 votes

Answer:

240.8

Explanation:

User Koushik Chandra
by
8.0k points
5 votes

Answer:

We are given the probability of students choosing the left lunch line at school is
p=0.431

We have to find the variance of the binomial distribution of 982 students choosing the left lunch line today.

Therefore, n = 982

We know that the variance of Binomial distribution is:


Variance = n * p * (1-p)


=982 * 0.431 * (1-0.431)


=240.82 rounded to 2 decimal places

Therefore, the variance of the binomial distribution of 982 students choosing the left lunch line today is 240.82


User Grfryling
by
8.5k points