The statistical software output for this problem is:
Hence,
P(Less than 2) = 0.7857
A pharmacist receives a shipment of 16 bottles of a drug and has 3 of the...
A pharmacist receives a shipment of 17 bottles of a drug and has 4 of the bottles tested. If 6 of the 17 bottles are contaminated, what is the probability that less than 3 of the tested bottles are contaminated? Express your answer as a fraction or a decimal number rounded to four decimal places.
A pharmacist receives a shipment of 18 bottles of a drug and has 5 of the bottles tested. If 3 of the 18 bottles are contaminated, what is the probability that no more than 1 of the tested bottles is contaminated? Express your answer as a fraction or a decimal number rounded to four decimal places.
A pharmacist receives a shipment of 22 bottles of a drug and has 4 of the bottles tested. 5 of the 22 bottles are contaminated, what is the probability that at least 3 of the tested bottles are contaminated? Express your answer as a fraction or a decimal number rounded to four decimal places
A pharmacist receives a shipment of 25 bottles of a drug and has 4 of the bottles tested. If 5 of the 25 bottles are contaminated, what is the probability that at least 3 of the tested bottles are contaminated? Express your answer as a fraction or a decimal number rounded to four decimal places.
28. There are 8 black balls and 9 red balls in an urn. If 4 balls are drawn without replacement, what is the probability that more than 1 black ball is drawn? Express your answer as a fraction or a decimal number rounded to four decimal places. Answer: ____________________ 29. A pharmacist receives a shipment of 24 bottles of a drug and has 4 of the bottles tested. If 5 of the 24 bottles are contaminated, what is the probability...
Naval intelligence reports that 8 enemy vessels in a fleet of 16 are carrying nuclear weapons. If 6 vessels are randomly targeted and destroyed, what is the probability that less than 5 vessels transporting nuclear weapons were destroyed? Express your answer as a fraction or a decimal number rounded to four decimal places.
12. Suppose 500 athletes are tested for a drug, one in twenty has used the drug, the test has a 98% specificity and the test has a 100% sensitivity. That is, the probability of a false positive is 2% and there is no chance that the user of the drug will go undetected. Construct a tree diagram showing the probabilities associated with this problem. Write a probability on each branch (6 branches). Multiply the the probabilities along each path and...
12. Suppose 500 athletes are tested for a drug, one in twenty has used the drug, the test has a 98% specificity and the test has a 100% sensitivity. That is, the probability of a false positive is 2% and there is no chance that the user of the drug will go undetected. Construct a tree diagram showing the probabilities associated with this problem. Write a probability on each branch (6 branches). Multiply the the probabilities along each path and...
OaestiOnEO O1 25 312D1 O 59:33:15 Unknown to a medical researcher, 7 out of 17 patients have a heart problem that will result in death if they receive the test drug. 5 patients are randomly selected to receive the drug and the rest receive a placebo. What is the probability that less than 4 patients will die? Express your answer as a fraction or a decimal number rounded to four decimal places
A standard pair of six-sided dice is rolled. What is the probability of rolling a sum less than 5? Express your answer as a fraction or a decimal number rounded to four decimal places.