In problems 5 through 14, assume that (x) has a normal distribution with the specified mean and standard deviation. Find the indicated probabilities. means equal to, since I can’t type that way on...

In problems 5 through 14, assume that (x) has a normal distribution with the specified mean and standard deviation. Find the indicated probabilities.<> means equal to, since I can’t type that way on the computer. U is mean and o is standard deviation. 5. P(3 <><(or><><><><> 30) ; u=20 o=3.4 25. A person’s blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter ( 1/10 of a liter) of blood. After a 12 hour fast, the random variable x will have a distribution that is approx. normal with a mean u=85 and a standard deviation o=25. Note: after 5o years of age both the mean and standard deviation tend to increase. What is the probability that for an adult (under 50 years old) after a 12 hour fast. a. x is more than 60 b. x is less than 110 c. x is between 60 and 110 d. x is greater than 140 ( borderline diabetes starts at 140)? 27. Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approx. normally distributed with a mean of 5.1 mm and a stand deviation of 0.9 mm. For a randomly found shard, what is the probability that the thickness is a. less than 3.0 mm? b. more than 7.0 mm? c. between 3.0 mm and 7.0 mm?