American Airlines flights from Dallas to Chicago are on-time 80% of the time. Suppose 15 flights are randomly selected, and the number of on-time flights is recorded. Find and the probability that exactly 10 flights are on time.

Probability that exactly 10 flights are on time is 0.1032.

Step-by-step explanation:

We are given that American Airlines flights from Dallas to Chicago are on-time 80% of the time. Suppose 15 flights are randomly selected, and the number of on-time flights is recorded.

The above situation can be represented through Binomial distribution;

where, n = number of trials (samples) taken = 15 flights

           r = number of success

           p = probability of success which in our question is % of flights that   

                 are on time, i.e., 80%

LET X = Number of flights that are on time

Also, it is given that a sample of 15 flights is taken,

So, it means X ~

So, Probability that exactly 10 flights are on time = P(X = 10)

P(X = 10) =

              =

              = 0.1032

Therefore, Probability that exactly 10 flights are on time is 0.1032.

"if it is my birthday, then it is snowing"

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer