Answer:

Step-by-step explanation:
Given: 
Let's changed that mixed number to an improper fraction. Now we get:

Let's find out least common denominator. This one is easy, the LCD is 8. Now that we know the LCD, let's convert both our fractions:

We can use
because it is equal to
. Now, all we need to do is subtract the numerators:

Answer:
Standard normal curve is 0.
Standard deviation is 1.
Answer: The correct probabilities is about 0.1192.
To start we need to find the standard deviation, it is the square root of the variance or 7.
Now, we need to find the z-score of a value that is 1.05 months above the mean.
1.05 / 7 = 0.15 produces a value of 0.5596. Since we are dealing with a range from 0.15 below and above the mean, we have 0.0596 to the right of the mean and the same below the mean.
0.0596 x 2 = 0.1192