Suppose x has a distribution with = 11 and o = 6.USE SALT(a) If a random sample of size n = 44 is drawn, find and P(11 ≤ x ≤ 13). (Round o to two decimal places and the probability to four decimal places.)Hx=ox=P(11 ≤ x ≤ 13)(b) If a random sample of size n = 62 is drawn, find, and P(11 ≤ x ≤ 13). (Round to two decimal places and the probability to four decimal places.)Hx=o x =P(11 ≤ x ≤ 13) =

Given: Suppose X is a random variable having Normal distribution with mean 11 i.e. μ=11 and the…

Answered: Suppose x has a distribution with = 11…

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 x has a distribution with ? = 29 and ? = 27. (a) If a random sample of size n = 43 is drawn, find ?x, ? x and P(29 ≤ x ≤ 31). (Round ?x to two decimal places and the probability to four decimal places.) ?x = ? x = P(29 ≤ x ≤ 31) = (b) If a random sample of size n = 60 is drawn, find ?x, ? x and P(29 ≤ x ≤ 31). (Round ? x to two decimal places and the probability to four decimal places.) ?x = ? x = P(29 ≤ x ≤ 31) = (c) Why should you expect the probability of part (b) to be higher than that of part (a)? (Hint: Consider the standard deviations in parts (a) and (b).)The standard deviation of part (b) is part (a) because of the sample size. Therefore, the distribution about ?x is .
Suppose that the lifetime of a component (in hours) is modeled with a Weibull distribution 4000. Determine the following in parts (a) and (b): with B 2 and 8 = = a P(X > 5000) b P(X> 8000|X > 3000) c Comment on the probabilities in the previous parts compared to the results for an expo- nential distribution.
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Suppose a simple random sample of size n = 200 is obtained from a population whose size is N=20,000 and whose population proportion with a specified characteristic is p=0.8. Complete parts (a) through (c) below. A. Approximately normal Decause ns. and per-p) 1. OB. Not normal because n ≤0.05N and np(1-p) 0.81)? P(p≥ 0.81)= 3632 (Round to four decimal places as needed.) (c) What is the probability of obtaining x= 150 or fewer individuals with the characteristic? That is, what is P(p ≤ 0.75)? P(p ≤ 0.75)= (Round to four decimal places as needed.) + example Get more help. alues % 5 A + 6 MacBook Pro & 7 * 00 8 Vi I, Clear all ( 9 More Check answer X
Suppose x has a distribution with ? = 14 and ? = 7. (a) If a random sample of size n = 33 is drawn, find ?x, ? x and P(14 ≤ x ≤ 16). (Round ?x to two decimal places and the probability to four decimal places.) ?x = ? x = P(14 ≤ x ≤ 16) = (b) If a random sample of size n = 65 is drawn, find ?x, ? x and P(14 ≤ x ≤ 16). (Round ? x to two decimal places and the probability to four decimal places.) ?x = ? x = P(14 ≤ x ≤ 16) = (c) Why should you expect the probability of part (b) to be higher than that of part (a)? (Hint: Consider the standard deviations in parts (a) and (b).)The standard deviation of part (b) is part (a) because of the sample size. Therefore, the distribution about ?x is .
4. Let X denote the mean of a random sample of size n from the distribution N(μ, 10) and P(x - 1²/ < μ< * + ²) = O A A. 176 C. 20 = 0.964, then the value n of is equal to B B. 13
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Suppose that you enter a fantasy baseball league. Suppose that the 2021 team budget, say , is randomly drawn from a uniform distribution on the interval , where the unit is U.S. million dollars. In addition, suppose that after the value has been observed , the 2022 team budget, say , is randomly drawn from a uniform distribution on the interval . In other words, the 2022 budget is at most as large as the 2021 budget. a) For any given value of x(50<x<350), obtain E[Y|X=x] b) In view of part (a), obtain E[Y|X] c) Atlanta Braves won the 2021 World Series title. Their estimated 2022 payroll is about $130 million. Would your 2022 fantasy baseball budget be on average larger than their 2022 payroll? Explain briefly.
The accompanying table describes results from groups of 10 births from 10 different sets of parents. The random variable x represents the number of girls among 10 children. Use the range rule of thumb to determine whether 1 girl in 10 births is a significantly low number of girls. Use the range rule of thumb to identify a range of values that are not significant. a. The maximum value in this range is (Round to one decimal place as needed.) b. The minimum value in this range is (Round to one decimal place as needed.)
The length, X, of a lionfish is a normally distributed random variable with a mean of 13.5 inches and a standard deviation of 2.4 inches. Suppose that we measure the lengths of 150 randomly chosen lionfish. Let M be the sample mean of the 150-length measurements. Let S be the sum of the 150 length measurements.a) What is the probability that X < 9.3? b) What is the probability that X > 9.3? c) What is the probability that all of the 150 measurements are greater than 9.3? d) What is the expected value of S? e) What is the standard deviation of S? f) What is the probability that S-150*13.5 >10? g) What is the standard deviation of S-150*13.5 h) What is the expected value of M? i) What is the standard deviation of M? j) What is the probability that M >13.6? k) What is the standard deviation of 30*M? l) If the probability of X > k is equal to .8, then what is k?
Suppose x has a distribution with = 12 and a = 6. USE SALT (a) If a random sample of size n = 41 is drawn, find , and P(12 sx s 14). (Round to two decimal places and the probability to four decimal places.) H-12 0.93 X P(12 ≤ x ≤ 14)= 0.4842 X (b) If a random sample of size n = 68 is drawn, find and P(12 sxs 14). (Round a to two decimal places and the probability to four decimal places.) H-12 ✓ 1.33 x P(12 sxs 14)=0.4337 X (c) Why should you expect the probability of part (b) to be higher than that of part (a)? (Hint: Consider the standard deviations in parts (a) and (b).) The standard deviation of part (b) is smaller than part (a) because of the larger ✔✔sample size. Therefore, the distribution about is wider ✓x

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