The weekly salaries of teachers in one state are normally distributed. The mean is $975 and the standard deviation is $84. Find the probability that a randomly selected teacher earns more than $955a week?

The volumes of soft drink in a bottle are normally distributed with amean of 32.15 fluid ouncesand a standard deviation of 0.15 fluid ounces. (a)What is the probability that the volume of soda in a randomly selected bottle will be less than 31.9 fluid ounces?

b)If 230bottles of the soft drinkare randomly selected how manywould you expect to have a volume that is less than 31.9 fluid ounces?

If x is normally distributed with = 340, = 22 and a sample size of n = 29is drawn from the population find the following probabilities for the sample mean. Round to 4 decimal places. (4 pts each: 12 pts total)(a) P(> 342) (b) P(< 345) (c) P(328< < 336)

The annual amountsof rainfall in a AppalachianMountain pass are normally distributed with a mean of 11.2 inches and a standard deviation of 2.6 inches.What isthe probability that the meanannualamount of rainfall during 7 randomly selected years will be less than 10.6inches?