00:01
Hello, let's have a look at the given question.
00:02
For part a, we have been given that what is the probability that the flight will be no more than 5 minutes late.
00:09
To find the probability that the flight will be no more than 5 minutes late, we need to find the area under the normal distribution curve to be left of 5 minutes.
00:19
We can use the standard normal distribution table to find the probability.
00:23
Let's assume that the mean flight time is 60 minutes and the standard deviation is 10 minutes.
00:48
Then we can standardize the value of 5 minutes using the formula z is equal to x minus mean and standard deviation.
00:59
Where x is the value, we want to find the probability for, mean is the mean and mean is the standard deviation.
01:05
Now z is equal to 5 minus 16 by telling the accuracy, minus 5 .5.
01:15
Looking at the standard normal distribution table, we can find that the probability of z score less than or equal to minus 5 .5 is very close to zero.
01:26
Therefore, the probability that the flight will be no more than 5 minutes late is very low.
01:40
Now for part b, we have been given that what is the probability that the flight will be no more than 10 minutes late.
01:48
To find the probability that the flight will be no more than 10 minutes late, we need to find the area under the normal distribution curve to find the right of 10 minutes...