2 A company manufactures floor tiles of mean length 20 cm with standard deviation 0.2 cm. Assuming the distribution of the lengths of the tiles is normal, find the probability that, when 12 randomly selected floor tiles are laid in a row, their total length exceeds 241 cm.

The weights of a population of barrels are normally distributed with a mean of 45.0 lb and a standarddeviation of 7.9 lb a. If I randomly select a barrel, what is the probability that it will be heavier than 50 lb, (and I’ll havetrouble lifting it)? Use formula/chart.

The lengths of pregnancies are normally distributed with a mean of 266 days and a standard deviation of 20 days. If 64 women are randomly selected find the probability that they have a mean pregnancy between 266 days and 268 days

Birthweight at a hospital were reported to have a mean of 3668 grams (g) and a standard deviation of     511 g. These birthweights are normally distributed.  Find the probability that a single baby's birth weight was less than 4000 g.

Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading greater than -0.71°C.

The average homicide rate for the cities and towns in a state is 10 per 100,000 population with a standard deviation of 2. If the variable is normally distributed, what is the probability that a randomly selected town will have a homicide rate greater than 8?

Assume a light bulb has a burn life that is normally distributed with a mean of 159 hours and a standard deviation of 16 hours. Suppose you sample 30 bulbs and calculate a sample average (Y) burn life. Find the probability that a give bulb in the sample has a burn life greater than 163 hours.