The Rockwell hardness of a metal is determined by impressing a hardened point into the surface of the metal and then measuring the depth of penetration of the point. Suppose the Rockwell hardness of a particular alloy is normally distributed with mean 69 and standarddeviation 3.n USE SALT(a) If a specimen is acceptable only if its hardness is between 68 and 75, what is the probability that a randomly chosen specimen has an acceptable hardness? (Round your answer to four decimal places.)0.5987(b) If the acceptable range of hardness is (69 - c, 69 + c), for what value of c would 95% of all specimens have acceptable hardness? (Round your answer to two decimal places.)(c) If the acceptable range is as in part (a) and the hardness of each of ten randomly selected specimens is independently determined, what is the expected number of acceptable specimens among the ten? (Round your answer to two decimal places.)specimens(d) What is the probability that at most eight of ten independently selected specimens have a hardness of less than 71.52? [Hint: Y = the number among the ten specimens with hardness less than 71.52 is a binomial variable; what is p?] (Round your answer tothree decimal places.)

Let , X→N(μ=69 , σ=3) Our aim is to find the following : a) P(68<X<75) b)…

Answered: a) If a specimen is acceptable only if…

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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The probability of someone getting covid positive is 0.6, the probability of someone dying suddenly given that he/she is covid positive is 0.3 and the probability of someone dying suddenly given that he/she is not covid positive is 0.1. Let’s say, someone just died. a. What is the probability that the person was covid positive?b. What is the probability that the person was not covid positive
Assume that the probability of getting a job that you applied for is 19%. Give all answers to at least 3 decimal places. a) What is the average number of jobs you need to apply to, before you get one job offer? b )If you have a criminal record, then your probability of getting a job that you applied for is 1/5 of your probability of getting a job without a criminal record. What is the average number of jobs you need to apply to, before you get one job offer if you have a criminal record?
In a waiting line situation, arrivals occur at a rate of 2 per minute, and the service times average 18 seconds. *Please show formulas in EXCEL format a. What is λ? 2 per min b. What is μ? 18 seconds c. Find probability of no units in the system. d. Find average number of units in the system. e. Find average time in the waiting line. f. Find average time in the system. g. Find probability that there is one person waiting. h. Find probability an arrival will have to wait.
Standard Deviation = 4. Set A:10, 15, 21, 24, 32, 39, 46, 54, 58, 62, 66, 70, 75, 80, 85, 90, 95, 100, Set B:90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106 Given the two sets of numbers above: (i). Which set would have a smaller standard deviation? Set A? Set B? (ii). Why? The one which would smaller standard deviation is set A
Based on a poll, among adults who regret getting tattoos, 12% say that they were too young when they got their tattoos. Assume that nine adults who regret getting tattoos are randomly selected, and find the indicated probability. Complete parts (b) through (c) below. a. Find the probability that none of the selected adults say that they were too young to get tattoos. 0.3165 (Round to four decimal places as needed.) b. Find the probability that exactly one of the selected adults says that he or she was too young to get tattoos. (Round to four decimal places as needed.) c. Find the probability that the number of selected adults saying they were too young is 0 or 1. (Round to four decimal places as needed.)
Please help answer this, thank you! :)
a) Determine the probability that a randomly selected call was during the week. The probability is----- (Round to three decimal places as needed.) b. Determine the probability that a randomly selected call was less than 20 minutes. The probability is----- (Round to three decimal places as needed.) c. Determine the probability that a randomly selected call was 10 to less than 20 minutes. The probability is----- (Round to three decimal places as needed.) A call center for customer support records the time each customer requires for service and whether the call occurred during the week (Monday through Friday) or during the weekend (Saturday and Sunday). The results are shown in the accompanying table. Complete parts a through h. Time (minutes) Week Weekend Less than 5 15 4 5 to less than 10 27 3 10 to less than 15 12 8 15 to less than 20 23 5 More than 20 10 14
2. A number is chosen at random from 1 to 10. Find the probability of selecting a multiple of 2. 3. Two dice are roll ed, fînd the probability that the sum is a Equai to 1 b Equal to 5 C. Less than 10
c) If the probability that a person scores below a particular value is 0.7, then the probability a person scores above that value equals? d) If the probability that a person scores between a particular positive z value and the mean is 0.31, then the probability a person scores above that value equals?
It is suspected that 25% of children may have an adverse reaction to the new RTS,S/AS01 (RTS,S) vaccine that was recommended in October this year by the World Health Organization for the prevention of P. falciparum malaria in children living in the sub-Saharan Africa, where transmission is moderate to high. Suppose the Health Science Faculty of UP is going to test the vaccine on 60 patients. Let: X = the number of children who experienced an adverse reaction. X sample proportion of children who experienced adverse reaction. 60 The distribution of X is with an expected value of and a standard deviation of Round your answer to 4 decimal places. . b) The sampling distribution of p is: (Choose all the correct choices, marks will be subtracted for incorrect choices.) approximately normal skewed to the left binary discrete binomial skewed to the right symmetric continuous normal c) Give the expected value and standard deviation of p. • Expected value, µp = Round your answer to 2 decimal…
Calculate the means and standard deviations of:37, 26, 19, 21, 19, 25, 17 6.9:3 .a O 2.414:3 .b O 6.321,23.4 .CO 7.141;3 .d .d O

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