Question

1.A pharmacist receives a shipment of 2121 bottles of a drug and has 33 of the bottles tested. If 33 of the 2121 bottles are contaminated, what is the probability that no more than 11 of the tested bottles is contaminated? Express your answer as a fraction or a decimal number rounded to four decimal places.

2. A fair die will be rolled 1010 times. What is the probability that 44, 55, or 66 is rolled less than 66 but more than 44 times? Round your answer to four decimal places.

3.Cars enter a car wash at a mean rate of 44 cars per half an hour. What is the probability that, in any hour, exactly 55 cars will enter the car wash? Round your answer to four decimal places.

4.A fair die will be rolled 1515 times. What is the probability that an even number is rolled at least 1313 times? Round your answer to four decimal places.

5.A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 40%40% of this population prefers the color red. If 1616 buyers are randomly selected, what is the probability that between 77 and 1010 (both inclusive) buyers would prefer red? Round your answer to four decimal places.

6.A pharmacist receives a shipment of 2424 bottles of a drug and has 33 of the bottles tested. If 55 of the 2424 bottles are contaminated, what is the probability that less than 22 of the tested bottles are contaminated? Express your answer as a fraction or a decimal number rounded to four decimal places.

Answer 1