| Problem | Answer |
|---|
| Find z so that 8% of the standard normal curve lies to the right of z? | |
| On a test, the scores follow a normal distribution with mean 79 and standard deviation 9. What is the probability that a randomly selected score is above 85?? | |
| In a class, there are 7 girls and 10 boys. In a randomly selected group of 5 students, what is the probability that 2 are girls?? | |
| Using the same information as in the previous problem, what is the probability that 4 of the selected students are boys?? | |
| Of 125 tax returns, the IRS selects 6 to undergo an audit. If 5 of the 125 contain fraudulent info, what is the probability that the IRS finds 1 tax return with fraudulent info?? | |
| Basketball ticket sales during the 1 hour preceding each game averages 300. What is the probability of 40 sales within a one-minute period within an hour of a game?? | |
| A radio call-in show receives an average of 72 calls during a one-hour broadcast. Find the probability that there will be fewer than 60 calls during a broadcast.? | |
| Using the same data, find the probability that more than two calls are received in a four-minute period.? | |
| Richard helps with a tele fund. There is a 65% chance of each person he calls donating. What is the probability that the third person he calls will make the first donation?? | |
| 15% of all fires are caused by arson. A random sample of 5 fire insurance claims are studied. What is the expected value of a probability density function of this info?? | |
| Using the same data, what is the standard deviation of the distribution?? | |
| 30% of people plan to voluntarily switch jobs within three years. In a sample of 10 people, what is the probability that 3 are planning to change jobs?? | |
| Using the data from the previous problem, find the probability that at least half of them expect to change jobs voluntarily.? | |
| Using the same data, find the probability that no more than half of them expect to change jobs voluntarily.? | |
| Using the same data, find the probability that from three to six, including three and six, expect to change jobs voluntarily.? | |
| The probability that a person requests nonsmoking at a restaurant is .65. A random sample of 12 people make reservations. What is the probability that none request nonsmoking?? | |
| | Problem | Answer |
|---|
| Using the same information, what is the probability that all will request nonsmoking?? | |
| Using the same information, what is the probability that at least three will request nonsmoking?? | |
| At Red Lobster, an average of 26 patrons request nonsmoking every 4 hours. What is the probability that 10 people will request nonsmoking in an hour?? | |
| Using the same information, what is the probability that no more than three people request a nonsmoking section during the next hour?? | |
| Using the same information, what is the probability that at least four people will request nonsmoking within an hour?? | |
| A spokesperson stated that 25% of all first-grade pupils entering school were poor. What would be the expected number of poor first-grade students in a random sample of 3000?? | |
| In a lottery game, a person has 5 winning numbers from 1-99. 5 numbers are selected randomly. What is the probability that at least 2 of the numbers match a random players'?? | |
| 5 fair dice are rolled. What is the probability of rolling 5 1's?? | |
| Using the same information, what is the probability of rolling three of a kind?? | |
| If 2 fair dice are rolled, what is the probability of rolling at least one 1 and/or at least one 5?? | |
| In a game known as Senior Assassins, an average of 8 people are killed each day (assume the kills are independent and random). What is the probability that 2 are killed in a day?? | |
| Using the same information, what is the probability that no one is killed in 6 hours?? | |
| In the game, 3 people on average are killed each week due to a betraying friend. What is the probability of 1 person getting killed due to the betrayal of a friend in one day?? | |
| Using the same information, what is the probability that 2 people die due to a friend's betrayal within half an hour?? | |
| Using the same information, what is the probability that 4 people die due to a friend's betrayal within a week?? | |
| In a high school, there are 300 seniors, of which 25 have betrayed a friend in the game. In a random sample of 4 students, what is the probability that 1 has betrayed a friend?? | |
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