1. A machine is used to shape plastic toys. When the machine is adjusted and working well, it still produces about 11% defective toys. The toys are manufactured in lots of n = 100. Letr be a
random variable representing the number of defective toys in a lot. Then p-hat = r/n is the
proportion of defective toys in a lot. 1) Explain why p-hat can be approximated by a normal
random variable.

Someone answer asap for ! max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a. the median of max’s data is 250 b. more than half of the data points max recorded were 177 centimeters. c. a data point chosen at random is as likely to be above the mean as it is to be below the mean. d. every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.