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.
from hypergeometric distribution
probability that less than 3 of the tested bottles are contaminated
=P(X<=2)=P(X=0)+P(X=1)+P(X=2)= =0.9013
A pharmacist receives a shipment of 17 bottles of a drug and has 4 of the...
A pharmacist receives a shipment of 16 bottles of a drug and has 3 of the bottles tested. If 5 of the 16 bottles are contaminated, what is the probability that less than 2 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 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.
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.
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...
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
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...
A bag contains 4 red, 5 orange, and 9 green jellybeans. What is the probability of reaching into the bag and randomly withdrawing 12 jellybeans such that the number of red ones is 3, the number of orange ones is 3, and the number of green ones is 6? Express your answer as a fraction or a decimal number rounded to four decimal places. A bag contains 4 red, 5 orange, and 9 green jellybeans. What is the probability of...
Unknown to a medical researcher, 6 out of 18 patients have a heart problem that will result in death if they receive the test drug. 8 patients are randomly selected to receive the drug and the rest receive a placebo. What is the probability that more than 1 patient will die? Express your answer as a fraction or a decimal number rounded to four decimal places.