find probability

Exercise 3. Normal Distribution. The Hint is in red. An expensive watch is powered by a 3-Volt lithium battery expected to last three years (u = 3). Suppose the life of the battery has a standard deviation of 0.3 year (o = 0.3). and is normally distributed (thus, if X = life of battery, then X = N (3,0.3)). a. Determine the probability that the watch's battery will last longer than 3.5 years (Find P(X > 3.5)). b. Calculate the probability that the watch's battery will last more than 2.75 years (Find P(X > 2.75) ). c. Calculate the probability that the watch's battery will last at least 2.75 years and at most 4.5 years (Find P(2.75 m) = 0.1)