A firm offers routine physical examinations as part of a health service program for its employees. The exams showed that 18% of the employees needed corrective shoes, 25% needed major dental work, and 3% needed both corrective shoes and major dental work. What is the probability that an employee selected at random will need either corrective shoes or major dental work?

Bryan is performing data entry for an insurance company by taking handwritten records and entering them into the database. Thus far, 15.6% of the handwritten records have had missing data that prevented them from being entered into the database. If Bryan takes 10 handwritten records, what is the probability that at most three records will be incomplete?

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.

A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just two aspirins is 62%. What is the probability that in a random sample of 560 headache sufferers, less than 59% obtain relief?

A survey showed that 71​% of adults need correction​ (eyeglasses, contacts,​ surgery, etc.) for their eyesight. If 8 adults are randomly​ selected, find the probability that at least 7 of them need correction for their eyesight. Is 7 a significantly high number of adults requiring eyesight​ correction?