1. What is the probability that a student selected at random prefers peach slices as a snack? 2. What is the probability that a student selected at random prefers an apple or carrot sticks as a snack? 3. What is the probability that a student in class A selected at random prefers an apple as a snack?
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- 2. Two dice are rolled and their sum recorded. What is the probability of rolling a sum that is less than 7 or a sum that is divisible by 3?5. A bag contains 20 purple marbles, 15 red marbles, and 5 blue marbles. What is the probability of randomly selecting a purple marble, not putting it back, and then randomly selecting a blue marble? (Express your answer as a decimal rounded to two places.)6.12, please
- 2. A student selected froma class will be either a boy or a girl. If the probability that a boy will be selected is 0.3, what is the probability that a girl will be selected?6.) The National Spinal Cord Injury Statistical Center reports that 45% of all spinal cord injuries are caused by vehicle crashes. Suppose that we choose 15 spinal cord injuries at random.a.) What is the probability that 8 of the chosen injuries are from vehicle crashes? (Usethe formula)b.) What is the probability that fewer than 5 of the chosen injuries are from vehiclecrashes? (Use the calculator)c.) What is the probability that more than 9 of the chosen injuries are from vehiclecrashes? (Use the calculator)d.) What is the probability that between 4 and 10 of the chosen injuries are from vehiclecrashes? (Use the calculator)e.) What is the expected number of such injuries to result from vehicle crashes?f.) What is the standard deviation of the number of injuries resulting from vehiclecrashes?Joyce removes the pennies from her purse. Now her bag contains 12 nickels, 26 dimes, and 14 quarters. She draws three coins from the purse (one at a time without replacement). 6 7. What is the probability that Joyce gets all quarters? What is the probability that Joyce gets all pennies? 8. What is the probability that Joyce gets three of the same type coin? 9. What is the probability that Joyce gets more than fifteen cents? 10. What is the probability that Joyce gets enough money to buy a can of diet coke that costs sixty cents?
- 6. PLEASE HELP me answer this question well explained and calculated. 6.) The probability that a business person will cancel his reservation at the Place des Pins hotel is about 10%. Knowing that the hotel has 56 reservations. A.) determines the probability that at least 10 business people will cancel their reservation; B. determines the probability that exactly 2 business people will cancel their reservation. C.) determines the probability that 5 to 10 people in the business community will cancel their reservation.A class president is favored by 53% of all students voting, assuming this is accurate, a random sample of 400 students are surveyed. 1. What is the probability that less than 49% will favor this student? 2. What is the probability that more than 57% will favor the student?One card is selected from a standard deck of 52 cards. 1. What is probability of selecting a red card or black card? 2. What is probability of selecting a 2 or a 5?
- 7. State College is playing a rival team for the football championship. If State's first- string quarterback is healthy, State College has a 75% chance of winning. If they have to start their backup quarterback, their chances of winning drop to 40%. The team physician says that there are a 70% chance that the first-string quarterback will play. a. What is the probability that State will win that game? b. Suppose that you miss the game but you read in the headlines of Sunday's paper that State won. What is the probability that the second-string quarterback started?3. The latest data from the CDC indicates that 14% of Americans are smokers. A researcher wants to identify smokers for a survey. He randomly selects people entering a grocery store to ask if they are a smoker. a) What is the probability that he identifies the first smoker on his 5th try? b) What is the probability that he has to approach more than 8 people before finding the first smoker? c) How many people does he expect to approach before finding the first smoker?5. On average, there are 2 car thefts every 10 square kilometers during the course of a month in Shanghai. a. What is the probability that there will be no car thefts in a 10 square kilometer area next month? b. What is the probability that there will be 1 car theft in a 20 square kilometer area?