Dlustration 16.35. Two drawings each of 4 balls are made from abag containing 6 white and 7 green balls. What is the chance that thefirst drawing will give 4 white, and the second 4 green balls?(a) The balls drawn are being replaced before the second draw.(b) The balls drawn are not being replaced before the second draw.CS Scanned with CamScanner

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Answered: Dlustration 16.35. Two drawings each of…

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 robot has a probability to solve a puzzle of 47% if the robot tries to solve 10 puzzles. 1. What is the probability that the robot to solve less than 2 puzzles ( not including 2)? Use 4 digit 2. On average, how many puzzles will be solved by the robot:
1. A coin is tossed 10 times. Find the probability of getting a) at least 2 heads (Ans: 0.989)- b) no more than 2 tails (Ans: 0.055)
2. Accidentally a Scientist discovered "Sesame" during his research and he observed that 12.0 quintals per acre yield can be expected by sowing the seeds. To verify his expectation, he put request to 10 farmers who are nearby his research center and they agreed. Seeds were sowed and the yield came after few months. The yields (quintals/acre) were recorded as 14.3, 12.6, 13.7, 10.9, 13.7, 12.0, 11.4, 12.0, 12.6, 13.1. Do the results confirm the expectation with 95% confidence?
answer in fraction
Q2: Thirteen students in a class of 20 are females. Five students are to be randomly selected from the class. (a) In how many ways can we select the 5 students? (b) In how many ways can we select a group of 3 females and two males? (b) What is the probability that the selected 5 students include 3 females?
A research center claims that 24% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 800 adults in that country, 27% say that they would travel into space on a commercial flight if they could afford it. At α=0.10, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. At least enter your response here% of adults in the country would travel into space on a commercial flight if they could afford it. B. No more than enter your response here% of adults in the country would travel into space on a commercial flight if they could afford it. C. The percentage adults in the country who would travel into space on a…
Tlustration 16.17. The contents of 3 vessels 1, 2 and 3 are as fol- lows : 1 white, 2 red, 3 black balls 2 white, 3 red, 1 black balls, and 3 white, 1 red, 2 black balls. A vessel is chosen at random and from it 2 balls are drawn at ran- dom. The two balls are one red and one white. What is the probability that they come from the second vessel. CS Scanned with CamScanner
29. Suppose an individual is randomly selected from the population of all adult males in the United States. Let A be the event that the selected male is a professional football player, and let B be the event that the selected male is a millionaire. Which do you think is larger: P(A | B) or P(B | A)? Explain.
10) In a particular class (in another department) the statistics of scores on two midterms and one final revealed the following facts: a) The probability to pass the final is 1/2 b) The probability to pass the final – given that both midterms were passed– is 3/4/. c) The probability to pass the final – given that at least one of the midterms was flunked– is 1/4..d) Passing the first and second midterm are independent events with equal probability. Based on the above information, compute the probability of passing the first midterm.
5.3 A bent coin, with heads probability .2, is tossed 13 times. Let X be the number of heads in the 13 tosses. Find (a) P(X =5), and (b) P(X = 12).
Assume that random guesses are made for 3 multiple-choice questions on a test with 2 choices for each question, so that there are n=3 trials, each with probability of success (correct) given by p=0.50. Find the probability of no correct answers.
Three groups of children contain respectively 3 girls and I boy: 2 girls and 2 boys: 1 girl and 3 boys. One child is selected at random from each group, Show that the chance that the three selected consist of 1 girl and 2 boys is 13/32?

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