Of all the registered automobiles in Colorado, 8% fail the state emissions test. Twelve automobiles are selected at random to undergo an emissions test. (a) Find the probability that exactly three of them fail the test.

(b) Find the probability that fewer than three of them fail the test.

(c) Find the probability that more than two of them fail the test.

(d) Would it be unusual for none of them to fail the test?

What is the product? (x2+3y+7) [yy+1)

What is the value of x? enter your answer in the box. x = two intersecting tangents that form an angle of x degrees and an angle of 134 degrees.

Needmax 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.