### Understanding Binomial ExperimentsA binomial experiment consists of a fixed number of independent trials, each of which results in either success or failure. The probability of success remains constant across all trials.#### Example Problem:**Problem Statement**:A binomial experiment consists of 14 trials. The probability of success on trial 7 is 0.48. What is the probability of success on trial 11?**Multiple Choice Answers**:- 0.48- 0.59- 0.82- 0.36- 0.26- 0.18#### Solution:In a binomial experiment, the probability of success is the same for each trial since the trials are independent and identically distributed. Hence, the probability of success on any specific trial is identical.Given:- Number of trials = 14- Probability of success on trial 7 = 0.48Since the trials are identical and independent, the probability of success on any other specific trial, including trial 11, is also 0.48.**Correct Answer**:- 0.48This problem illustrates a fundamental property of binomial experiments: the constant probability of success across all trials.

Binomial experimentn = trialsP(success on trial 7) = 0.48P(success on trial 11) = ?

Answered: A binomial experiment consists of 14…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Suppose that P(A|B)=0.4 and P(B)=0.5. What is P(A B)? 0.8 O 0.2 O 0.1 D Question 5 ts Computer keyboard failures are due to faulty electrical connects (12%) or mechanical defects (88%). Mechanical defects are related to loose keys (27%) or improper assembly (73%). Electrical connect defects are caused by defective wires (35%), proper connections (13%), or poorly welded wires (52%). Find the probability that a failure is due to loose keys. O 0.2376 O 0.306
To avoid unpleasant surprises when the statement comes, you try to record all your credit card transactions in a ledger. Unfortunately, you tend to neglect recording about 5% of your purchases. Suppose that last month, you had 25 purchases on your credit card account. When the statement arrives, you count the number of purchases you forgot to record. The random variable X represents the number of unrecorded purchases in a month with 25 transactions. Find the probability that you would record all 25 purchases. 2.98 .2774 1.25 .3526
A binomial experiment consists of 12 trials. The probability of success on trial 5 is 0.37. What is the probability of success on trial 9? 0.38 0.81 0.32 0.66 0.77 0.37
In a binomial experiment the probability of success is 0.05. What is the probability of two successes in seven trials? a. 0.0036 b. 0.0000 c. 0.0406 d. 0.3667
A new breathalyser is being trialled. When alcohol is present, the breathalyser correctly predicts alcohol in the system 90% of the time, but gives a false positive (indicates alcohol in the system when the individual has not drunk any alcohol) 4% of the time. On 20th December within the adult population 25% of individual have had alcohol. Given the breathalyser is positive what is the probability you have had an alcoholic drink? 0.948 0.980 0.720 0.882 0.957 No answer
ook int rences American households increasingly rely on cell phones as their exclusive telephone service. It is reported that 49.2% of American households still have landline phone service. We decide to randomly call eight households and ask if the home has a landline phone. a-1. What is the random variable? The random variable is the count of the a-2. How is the random variable distributed? The random variable follows a binomial Probability 8 households that have a land line. probability distribution. N b. What is the probability that none of the households in the sampled group have landline phone service? (Round your answer to 4 decimal places.)
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 manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just two aspirins is 62%. What is the probability that in a random sample of 560 headache sufferers, less than 59% obtain relief?
A binomial experiment consists of 17 trials. The probability of success on trial 10 is 0.51. What is the probability of success on trial 14? 0.62 0.38 0.47 0.51 0.21 0.87
One fair coin is tossed 10 times, what is the probability of getting at least 8 heads out of 10 tossing experiments? 0.0547 0.0537 0.0107 0.0439 Save for Later
Workers of an insulation manufacturer are undergoing testing for asbestos traces in their lungs. Three employees with positive traces are requested to be sent to a medical center for more testing. Suppose that 40% of workers are positive for asbestos traces. What is the probability that ten workers should be tested to find three positives? Random Variable: Distribution: Computation:
Using PERT, Ed Rose was able to determine that the expected project completion time for the construction of a pleasure yacht is 21 months and the project variance is 4. What is the probability that the project will be completed in 17 months or less? What is the probability that the project will be completed in 20 months or less? What is the probability that the project will be completed in 23 months or less? What is the probability that the project will be completed in 25 months or less?

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS

A binomial experiment consists of 14 trials. The probability of success on trial 7 is 0.48. What is the probability of success on trial 11? 0.48 0.59 0.82 0.36 0.26 0.18