Suppose that 13% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped). Consider a random sample of 200 shafts, and let X denote the number among these that arenonconforming and can be reworked. (Round your answers to four decimal places.)(a) What is the (approximate) probability that X is at most 30?(b) What is the (approximate) probability that X is less than 30?(c) What is the (approximate) probability that X is between 15 and 25 (inclusive)?

Given data p = 0.13 n = 200 The following condition needs to be satisfied for assumption of normal…

Answered: Suppose that 13% of all steel shafts…

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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Given the following probability distribution for the number of semesters of Math a (non-Math major) college student will take as they earn their degree: x:number of semesters of Math 1 2 3 4 P(x) 0.25 0.45 0.20 0.10 What is the probability that a randomly selected (non-Math major) college student will have taken exactly 3 semesters of Math? Show how you calculated your result here (type in what you typed on your calculator or computer, etc) Calculation: __________ Now type in your final simplified or rounded answer, if necessary round your answer to four decimal places. P(exactly 3 semesters of Math) = _____________
4. The number of students entering in the canteen at any given hour is represented by a random variable X. 40 50 70 80 X P(x) 60 0.1 0.2 0.4 0.1 0.2 Find the probability that at least 50 students enter in the canteen.
Suppose that the genders of the three children of a certain family are soon to be revealed. Outcomes are thus triples of “girls” (g) and “boys” (b), which we write gbg, bbb, etc. For each outcome, let R be the random variable counting the number of girls in each outcome. For example, if the outcome is bbb, then R(bbb)=0. Suppose that the random variable X is defined in terms of R as follows: X=R^2-2R-1. The values of X are given in the table below.
Let Y be the number of successes in n independent trials of a random experiment having probability of success . For n = 5, compute P(Y > 3).
3. A survey on a random sample of 1000 farmers shows that 17% of them spend more than S700 per year on seeds. Assume the population proportion is p =.17. Show the sampling distribution of p, the sample proportion of farmers spending more than $700 per year on seeds. What is the probability that the sample proportion will be within +.02 of the population proportion'? Answer part (b) for a sample of 1600 households. d. e. f.
An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" (t) which we write hth, ttt, etc. For each outcome, let N be the random variable counting the number of tails in each outcome. For example, if the outcome is tth, then N (tth)=2. Suppose that the random variable X is defined in terms of N as follows: X=N²-2N-2. The values of X are given in the table below. Outcome ttt htt hhh tht tth hth hht thh Value of X 1 -2 -2 -2 -2 -3 -3 -3 Calculate the probabilities P (X=x) of the probability distribution of X. First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row. Value X of X P(X=x) 0 0 0 0 0 00 X Ś
1. If a random variable X takes the value 1,2,3,4 suchthat 2P(X = 1) = 3P(X = 2) = P(X = 3) = 5P(X = 4).Find the probability distribution of X.
2) A particular NBA player is a career 59% field goal shooter. If he takes 50 shots, find: a) the probability he makes at most 30 using the normal approximation to the binomial. b) the probability he makes exactly 28 using the normal approximation to the binomial.
A pathologist has been studying the frequency of bacterial colonies within the field of a microscope using samples of throat cultures from healthy adults. Long-term history indicates that there is an average of 2.80 bacteria colonies per field. Let r be a random variable that represents the number of bacteria colonies per field. Let O represent the number of observed bacteria colonies per field for throat cultures from healthy adults. A random sample of 100 healthy adults gave the following information. 2 3 4 5 or more 13 18 28 16 17 8 (a) The pathologist wants to use a Poisson distribution to represent the probability of r, the number of bacteria colonies per field. The Poisson distribution is given below. P(r) = r! Here 1 = 2.80 is the average number of bacteria colonies per field. Compute P(r) for r = 0, 1, 2, 3, 4, and 5 or more. (Round your answers to three decimal places.) P(0) = P(1) = Р(2) Р(3) 3 P(4) = %3D P(5 or more) = (b) Compute the expected number of colonies E = 100P(r)…
The results of a 2 factor independent samples design are presented below. The number in the cells represents the mean weight loss of participants in that cell (lbs lost in 3-month period). There are five participants in each condition. Use the data to answer the following questions. Yoga Weightlifing Crossfit Low calorie 3 5 7 Paleo 5 7 9 Describe this design using numerals (for example: 4 x 2 x 2): How many factor(s) were involved in this study (name them) and what do the levels have in common? How many total conditions were involved in this study? Is there an interaction effect? How do you know?
Q.No.3. Solve the followings:i. How many groups of 5 people can you form from 10 people?ii. Can a random variable have negative output? Prove it

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