An employer is about to hire one new employee from a group of N candidates, whosefuture potential can be rated on a scale from I to N. The employer proceeds accordingto the following rules:(a) Each candidate is seen in succession (in random order) and a decision is madewhether to hire the candidate.(b) Having rejected m-1 candidates (m> 1), the employer can hire the mth candidateonly if the mth candidate is better than the previous m - 1.Suppose a candidate is hired on the ith trial. What is the probability that the bestcandidate was hired?

Answered: Image /qna-images/answer/665d6c2b-6a4d-41a6-8ac0-69464c3f6ca7.jpg

Answered: An employer is about to hire one new…

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 PMF of the number of components K of a system that fails is defined by = {( PK (k)= ()(0.2)*(0.8) 4-k k= 0, 1,...,4 otherwise (a) What is the CDF of K? (b) What is the probability that fewer than two components of the system fail?
Scenario: Suppose participants complete an experiment where ads are presented subliminally during a task (e.g., Pepsi ads are flashed at a very fast rate during movie ads). Participants are then given a recognition test for images of the ads, where two images are presented and participants must choose which one of the two was presented earlier. Both men and women (18 of each gender) participate in the study, and the researcher predicts that recognition accuracy (0 — 100%) will differ based on gender. Question: What is the scale of measurement of the dependent variable in this scenario? Nominal Ordinal Scale cannot determine
Fifty percent of the smartphones sold in a store are from China, 40% from Korea and 10% from US. Seventy percent of all the phones from China sold are below RM2500, 40% of all the phones from Korea sold are below RM2500, while only 20% of all the phones from US sold are below RM2500. A smartphone sold is selected at random. QI. (a) (i) If the selected smartphone is sold below RM2500, find the probability that the smartphone is from China. (ii) If the selected smartphone sold is not from Korea, find the probability that the phone is sold below RM2500. (iii) Assume that the shop makes a profit of RM1000 per month from the smartphones sold below RM2500, and a profit of RM2000 per month from the smartphones sold at or above RM2500. Find the expectation and variance of the profit made per month.
An analysis of personal loans at a local bank revealed the following facts: 10% of all personal loans are in default (D), 90% of all personal loans are not in default (D'), 20% of those in default are homeowners (H | D), and 70% of those not in default are homeowners (H | D'). If a personal loan is selected at random, P (D | H) = ___. O 0.78 0.02 0.03 0.18 O 0.63
An electronics store has received a shipment of 20 table radios that have connections for an iPod or iPhone. Ten of these have two slots (so they can accommodate both devices), and the other ten have a single slot. Suppose that six of the 20 radios are randomly selected to be stored under a shelf where the radios are displayed, and the remaining ones are placed in a storeroom. Let X = the number among the radios stored under the display shelf that have two slots. (a) What kind of distribution does X have (name and values of all parameters)? O hypergeometric with N = 10, M = 6, and n = 10 O binomial with n = 20, x = 10, and p = 6/20 hypergeometric with N = 20, M = 10, and n = 6 O binomial with n = 10, x = 6, and p = 6/10 (b) Compute P(X= 2), P(X ≤ 2), and P(X ≥ 2). (Round your answers to four decimal places.) P(X = 2) = P(X ≤ 2) = P(X ≥ 2) = (c) Calculate the mean value and standard deviation of X. (Round your standard deviation to two decimal places.) mean value standard deviation…
Three events, A, B and C are such that A and B are mutually exclusive, 3 P(4)= P(C|4)= and P(BnC)= 20 (i) Find P(AnC). (ii) Given that P(AnC)=P(BnC)=P(AUBUC), compute P(C). (iii) Hence, calculate P(AUB|C).
A bank has 3 counter desks and a very large waiting lounge (assume infinite queue). Customers arrive with a mean of 20 per hour and each desk serves with mean 10 customers per hour, where both rates are exponential. Determine the following : (a) Determine An, tn, C, and Aeff for n = 0, 1, 2, 3... (b) The steady-state probabilities pn,n = 0, 1, 2, 3.. (c) Calculate steady-state measures Ls, Ws, Lq, Wq, c and utilization ratio.
A bank has 3 counter desks and a very large waiting lounge (assume infinite queue). Customers arrive with a mean of 20 per hour and each desk serves with mean 10 customers per hour, where both rates are exponential. Determine the following : (a) Determine An, tn, C, and Aeff for n = 0, 1, 2, 3... (b) The steady-state probabilities pn,n = 0, 1, 2, 3.. (c) Calculate steady-state measures Ls, Ws, Lg, Wq, c and utilization ratio.

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