A biotechnology company produced 178doses of somatropin, including 10 which were defective.Quality control test 11 samples at random, and rejectsthe batch if any of the random samples are founddefective. What is the probability that the batch getsrejected?

Given data is Total number of doses = 178 Number of defective doses =10 Number of non defective…

Answered: A biotechnology company produced 178…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

A fair coin is flipped 100 times. The random variable X= number of heads out of the 100 tosses. What is the expected value of X?
A pallet of 10 automobile chassis has arrived at the quality control sector of a manufacturing plant. The quality control manager will reject the whole pallet if one of these chassis is defective. Suppose chassis are defective independently of one another, each with the same probability, p. Suppose that 90.8648% of all packages are sent to the next assembly line. Find the value of p, i.e. the probability of defective
Approximately 80% of students do their homework in time. Each student does homework independently. In a class of 40, what is the probability that at least 39 students will do their homework on time? Students are selected randomly. 0.001462 0.004276 0.007285 0.009353 0.032293 0.059264
3.7% of a population are infected with a certain disease. There is a test for the disease, however the test is not completely accurate. 90.2% of those who have the disease test positive. However, 3.9% of those who do not have the disease also test positive (false positives). A person is randomly selected and tested for the disease. What is the probability that the person has the disease given that the test result is positive?
A man claims to have extrasensory perception (ESP). As a test, a fair coin is flipped 29 times, and the man is asked to predict the outcome in advance. He gets 25 out of 29 correct. What is the probability that he would have done at least this well if he had no ESP?Probability =
A man claims to have extrasensory perception (ESP). As a test, a fair coin is flipped 20 times, and the man is asked to predict the outcome in advance. He gets 18 out of 20 correct. What is the probability that he would have done at least this well if he had no ESP? Probability =
The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC). A local hospital randomly selects five births and lets the random variable X count the number not resulting in a defect. Assume the births are independent. What is the probability that at least one of the births results in a defect? 0.8574 1.0000 0.0000 O 0.1426
Bicycles for hire at the Durban Beach front are deemed beyond repair when one or both itswheels are damaged. According to current statistics, there is an 8% chance that the front wheelgets damaged and a 12% chance the back wheel gets damaged.What is the probability that a hired bike will be deemed beyond repair, provided that the wheelsget damaged independently of each other?
The Philippine Red Cross says that about 11% of PH population has Type B blood. A blood drive is being held at your school. What is the probability that exactly 2 of the first 20 blood donors have Type B blood? [Select] Given this sample of blood donors, compute the expected number who have Type B blood. [Select]
An electronics firm claims that the proportion of defective units from a certain process is 5%. A buyer has a standard procedure of inspecting 16 units selected randomly from a large lot. On a particular occasion, the buyer found 6 items defective. What is the probability of having 6 or more defective items, given that the claim of 5% defective is correct?
A man claims to have extrasensory perception (ESP). As a test, a fair coin is flipped 28 times, and the man is asked to predict the outcome in advance. He gets 21 out of 28 correct. What is the probability that he would have done at least this well if he had no ESP? Probability =
A certain cancer screening is able to detect existing cancer with a probability of 97%. A new method is developed, and in a study it is able to detect cancer in 1952 of 2000 cases. Test with significance : Can the claim be made that the new method is better?

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS

A biotechnology company produced 178 doses of somatropin, including 10 which were defective. Quality control test 11 samples at random, and rejects the batch if any of the random samples are found defective. What is the probability that the batch gets rejected?