In order to test whether a coin is perfect, it istossed 5 times. The null hypothesis ofperfectness of the coin is accepted if and onlyif atmost 3 heads are obtained. Then the powerof the test corresponding to the alternativehypothesis that probability of head is 0.4, is(i) 272 / 3125 (ii) 2853 / 3125 (iii) 56 / 3125,(iv) none of these.

Answered: Image /qna-images/answer/69cd687d-671f-4e58-b89a-99a14d9e87dd.jpg

Answered: In order to test whether a coin is…

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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Suppose that each time Bar-bie throws a dart, she has a 3/4 probability of getting a bullseye. If Barbie shoots three darts, what is the probability that she gets a bullseye on at least two of them?
Five (5) cards will be randomly drawn from a shuffled standard 52 - card deck ( cards are replaced back in the deck after they are drawn) . There are 26 black and 26 red cards . Find the probability that at least 3 will be red . ( our answer in 3 decimal places )
The mean annual salary for nurses is $65,000 with a standard deviation of $7,000. What is he probability that a randomly selected nurse has a salary less than $60,000? A random sample of 50 nurses is selected. What is the probability that the sample mean annual salary is less than $60,000?
You roll a fair six-sided die three times. What is the probability that there are at least two differentnumbers among the results?
In a shipment of 100 parts, 4 are defective. The purchaser has time to test only 10 randomly selected parts for defects. Let X be the number of defective parts the purchaser finds.(a) Give the support X of X.(b) What is the probability that the purchaser finds no defective parts?(c) What is the probability that the purchaser finds at least 1 defective part?(d) Suppose the shipment has d defective parts. What is the largest value of d such that the probability is at least 0.90 that the purchaser finds no defects among 10 randomly sampled parts?
What is the likelihood of selecting a 4-digit number in the win-4 lottery, where one digit appears exactly three times, given that each digit from 0 to 9 has an equal probability of being drawn in each of the four draws? Note that the number starts with 0 is a valid 4 digit-number such as 0001 is an option

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