1. American Airlines' flights from Denver to Seattle are on time 80 % of the time. Suppose 9 flights are randomly selected, and the number on-time flights is recorded. Round answers to 3 significant figures. The probability that exactly 8 flights are on time is = The probability that at most 4 flights are on time is = The probability that at least 6 flights are on time is =

2. Suppose approximately 57% of all students study after midnight. For random sample ofn=3students, letXbe the number of students that study after midnight.

1. Complete the following table for the binomial distribution of X.

Keep at least 4 decimal places.

X	P(X)
0
1
2
3

1. The expected value of X=
2. The standard deviation of X=

2. For a binomial random variable XB(n=5,p=0.8), find the probability P(X=2):

P(X=2)= ?(Round the answer to 4 decimal places)

3. About 34% of a population are of a particular ethnic group. 140 people are randomly selected from this population. Round all answers to 3 decimal places. Convert the percentage of the population to a decimal: p: ? Compute the mean and standard of this size sample of this binomial distribution: Mean: ? Standard Deviation:?