Let X be a continuous random variable that is normally distributed with mean, µ = 15 and standard deviation, o = 2.8, find a value x, that represents the 80th percentile of the distribution

The one in the yellow is the previous tab.

Pulse rates of adult men are approximately normal with a mean of 70 and a standard deviation of 8. Which choice correctly describes how to find the proportion of men that have a pulse rate greater than 78? (a) Find the area to the right of z = -1 under a standard normal curve. (b) Find the area to the right of z=1 under a standard normal curve. (c) Find the area to the left of z = 1 under a standard normal curve. (d) Find the area between z=-1 and z=1 under a standard normal curve. (e) None of the above

The measurement of the distance to a certain object is accompanied by systematic and random errors. The systematic error equals 50 m. in the direction of decreasing distance. The random errors obey the normal distribution law with the mean-square deviation = 100 m. Find (1) the probability of measuring the distance with an error not exceeding 150 m. in absolute value, (2) the probability that the measured distance does not exceed the actual one.

Fawns between 1 and 5 months old have a body weight that is approximately normally distributed with mean ? = 27.1 kilograms and standard deviation ? = 4.0 kilograms. Let x be the weight of a fawn in kilograms.

The annual rainfall in a certain region is modeled using the normal distribution shown below. The mean of the distribution is 41.8 cm and the standard deviation is 5.3 cm. In the figure, V is a number along the axis and is under the highest part of the curve. And, Uand W are numbers along the axis that are each the same distance away from Use the empirical rule to choose the best value for the percentage of the area under the curve that is shaded, and find the values of U, V, and W. Percentage of total area shaded: (Choose one) 30 35 40 45 50 55 60 ( cm)