Total: 22 marks 79. As a result of a recent survey co a result of a recent survey conducted by a public health office, it was estimated 5% of a targeted population enjoys an alcoholic beverage at least once a veek: 35% of the population smokes at least one cigarette a day; and 25% of the Population indulges in both habits. What is the probability that an individual chosen at random from the targeted population either smokes, or drinks alcohol? (2 marks) There is a 25% chance that Rob will wear his blue dress shirt to his next job 80. interview. a) There is a 60% chance that Rob will have dinner with his girlfriend tonight. What is the probability that Rob will wear his blue shirt to his next interview but not have dinner with his girlfriend? Assume that the two events are independent of each other. (2 marks) b) There is a 15% probability that Rob will wear his blue shirt and striped tie to his next job interview. What is the probability that Rob will wear his striped tie to his next job interview, given that he has decided to wear his blue shirt? (2 marks) 81. The probability that a woman will give birth to a girl during any given pregnancy is 48%. a) What is the probability that a couple planning to have four children will have exactly one girl? (3 marks) b) What is the probability that a couple planning to have five children will have at least two girls? (3 marks) 82. On a magazine rack at the doctor's office, Anita can choose from six fashion and nine entertainment magazines. The doctor is running late, so Anita randomly selects three magazines to pass the time. What is the probability that she selects a) all fashion magazines? (3 marks) b) at least two entertainment magazines? (3 marks) The air pressure in a number of bicycle tires is normally distributed. The average air pressure is 100 pounds per square inch (psi) with a standard deviation of 7 psi. The tires will burst if the air pressure exceeds 115 psi. What percentage of tires will burst due to excessive air pressure? (4 marks) 83