Kruger Industrial Smoothing produces ball bearings. After inspection, it has generally been found that 12% of bearings must be scrapped (because they are too small), 65% are within specifications (can be used immediately), and the remaining 23% must be polished down (because they are too big). Out of a random sample of 14 bearings, what is the probability that fewer than two bearings must be scrapped?

A study showed that in​ 1990, 47​% of all those involved in a fatal car crash wore seat belts. Of those in a fatal crash who wore seat​ belts, 46​% were injured and 26​% were killed. For those not wearing seat​ belts, the comparable figures were 43​% and 51​%, respectively. Find the probability that a randomly selected person who was unharmed in a fatal crash was not wearing a seat belt.

Fewer young people are driving. In 1995, 63.9% of people under 20 years old who were eligible had a driver's license. Bloomberg reported that percentage had dropped to 41.7% in 2016. Suppose these results are based on a random sample of 1,200 people under 20 years old who were eligible to have a driver's license in 1995 and again in 2016.

high blood pressure has been identified as a risk factor for heart attacks and strokes. The proportion of U.S. adults with high blood pressure is 0.4. A sample of  83 U.S. adults is chosen, Find the probability that more than 41%  of the people in this sample have high blood pressure.

Annie is concerned over a report that "a woman over age 40 has a better chance of being killed by a terrorist than of getting married." A study found that the likelihood of marriage for a never-previously-wed, 40-year-old university-educated American woman was 3.2%. To demonstrate that this percentage is too small, Annie uses her resources at the Baltimore Sun to conduct a simple random sample of 436 never-previously-wed, university-educated, American women who were single at the beginning of their 40s and who are now 45. Of these women, 20 report now being married. Does this evidence support Annie’s claim, at the 0.02 level of significance, that the chances of getting married for this group is greater than 3.2%? Step 1 of 3 :   State the null and alternative hypotheses for the test. Circle the answer  below. H0: p=0.032: Ha: p 0.032 A.<B.>C.≠ Step 2 of 3: Compute the value of the test statistic. Sep 3 of 3: Draw a conclusion and interpret the decision.