Solve this for me A binomial experiment with probability of success p = 0.79 and 2 = 6 trials is conducted. What is the probability that the experiment results in 4 or fewersuccesses?Do not round your intermediate computations, and round your answer to three decimal places. (If necessary, consult a list of formulas.)X5CheckQ SearchWSave For LaterSubmit Assignment© 2024 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | AccessibilityсGADE

Given,Probability of success, p = 0.79Number of trials, n = 6We need to calculate the probability…

Answered: A binomial experiment with probability…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A binomial experiment consists of 400 trials with the probability of success for each trial 0.3.What is the probability of obtaining 133 or more successes? (This binomial experiment easily passes the rule-of-thumb test, as you can check. When computing the probability, adjust the given interval by extending the range by 0.5 on each side.)P(obtaining 390-420 successes) = ________ Please see table attached.
A laptop manufacturing company has implemented a 2-step process to test the quality of each production batch. In the first step, a technician randomly selects 15 laptops from the batch and determines whether they meet specifications. The batch is considered acceptable provided no more than 1 laptop fails to meet specifications. Otherwise, the entire batch must be tested in the second step. Historical data shows that 95% of the laptops produced adhere to specifications. Discuss the following: What are the 4 characteristics of a binomial experiment? Can we use a binomial distribution to model this process? What is the probability that the entire batch unnecessarily has to be tested if in fact 95% of its laptops conform to specifications? (Hint: Use Excel’s =BINOMDIST() function to find the probability.) What is the probability that the batch is incorrectly accepted if only 75% of its laptops conform to specifications? Please include how to use BINOM.DIST function in Excel.
A pharmaceutical company receives large shipments of ibuprofen tablets and uses this acceptance sampling plan: randomly select and test 23 tablets, then accept the whole batch if there is at most one that doesn't meet the required specifications. If a particular shipment of thousands of ibuprofen tablets actually has a 4% rate of defects, what is the probability that this whole shipment will be accepted? P(accept shipment) = (Please show your answer to 4 decimal places)
A binomial experiment consists of 400 trials with the probability of success for each trial 0.3.What is the probability of obtaining 133 or more successes? (This binomial experiment easily passes the rule-of-thumb test, as you can check. When computing the probability, adjust the given interval by extending the range by 0.5 on each side.) Please see table attached. P(103 or more successes): ________
A binomial experiment consists of 500 trials with the probability of success for each trial is 0.5. What is the probability of obtaining 220-235 successes? (This binomial experiment easily passes the rule-of-thumb test, as you can check. When computing the probability, adjust the given interval by extending the range by 0.5 on each side.) Please see table attached. Probability = ________
A pharmaceutical company receives large shipments of ibuprofen tablets and uses this acceptance sampling plan: randomly select and test 22 tablets; then accept the whole batch if there is at most one tablet that doesn't meet the required specifications. If a particular shipment of thousands of ibuprofen tablets actually has a 5% rate of defects, what is the probability that this whole shipment will be accepted?P(accept shipment) = ______((Please show your answer to 4 decimal places)
A textile manufacturing process finds that on average, six flaws occur per every 240 yards of material produced.\ a) What is the probability of no flaws in a 60-yard piece of material? (Do not round intermediate calculations. Round your final answer to 4 decimal places.) Probability=
A test for ovarian cancer has a 4 percent rate of false positives and a 1 percent rate of false negatives. On average, 1 in every 5,000 American women over age 35 actually has ovarian cancer. If a woman over 35 tests positive, what is the probability that she actually has cancer? Hint: Make a contingency table for a hypothetical sample of 100,000 women. (Round your answer to 5 decimal places.) Probability_________
A test for ovarian cancer has a 4 percent rate of false positives and a 0 percent rate of false negatives. On average, 2 in every 1,000 American women over age 35 actually has ovarian cancer. If a woman over 35 tests positive, what is the probability that she actually has cancer? Hint: Make a contingency table for a hypothetical sample of 100,000 women. (Round your answer to 5 decimal places.)
A manufacturing company operates a particular machine 200,000 times per year. In the first 2 years of operation, the company experienced 29 and 31 safety incidents, respectively. At this point, there was a change in procedures (all other things being equal). In the first year after the change in procedures, the company experienced 38 incidents. For the first 2 years, what is the best estimate of the safety incident probability, p1, and its standard error? You wish to test the hypothesis that the safety incident probability after the change in procedures, p2, is different from p1. Assuming that incidents would continue at the rate of 39 per year, how many full years would it take to reject the null hypothesis (p1=p2) at the (2-tailed) 10% significance level?
Novak Djokovic, one of the top male tennis players in the world, makes a successful first serve 53% of the time. If he serves 15 times, what is the probability that he gets exactly 9 first serves in? Assume that each serve is independent of the others. Don't forget to identify the values of n, x, p, and q before computing. If the rate is given to you as a percent, remember to convert to decimal before using as your value for p. Use the binomial probability formula and write your answer as a decimal rounded to four places.
Given a binomial experiment with probability of success on a single trial p = 0.40, find the probability that the first success occurs on trial number n = 3. (Round your answer to three decimal places.)

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