# Question: The heights of 10 year old males are normally distributed with mean

The heights of 10-year-old males are normally distributed with mean µ = 55.9 inches and σ = 5.7 inches.

(a) Draw a normal curve with the parameters labeled.

(b) Shade the region that represents the proportion of 10-year-old males who are less than 46.5 inches tall.

(c) Suppose the area under the normal curve to the left of x = 46.5 is 0.0496. Provide two interpretations of this result.

(a) Draw a normal curve with the parameters labeled.

(b) Shade the region that represents the proportion of 10-year-old males who are less than 46.5 inches tall.

(c) Suppose the area under the normal curve to the left of x = 46.5 is 0.0496. Provide two interpretations of this result.

## Relevant Questions

The lengths of human pregnancies are normally distributed with µ = 266 days and σ = 16 days. (a) The ﬁgure represents the normal curve with µ = 266 days and σ = 16 days. The area to the right of x = 280 is 0.1908. ...Determine the area under the standard normal curve that lies to the left of (a) z = -3.49 (b) z = -1.99 (c) z = 0.92 (d) z = 2.90 Find the indicated areas. Be sure to draw a standard normal curve and shade the area that ...Find the value of za . z0.01 Assume that the random variable X is normally distributed, with mean µ = 50 and standard deviation σ = 7. Compute the following probabilities. Be sure to draw a normal curve with the area corresponding to the probability ...Assume that the random variable X is normally distributed, with mean µ = 50 and standard deviation σ = 7. Find each indicated percentile for X. The 38th percentile?Post your question