The HR department of a large company found that only 1% of its employees make use of theemployee counselling centre. If a random sample of 20 employees were selected:(i) What is the probability that only two of them make use of the counselling centre?(ii) What is the probability that at least two of them make use of the counselling centre?(iii) What is the expected (mean) number of employees in this group who will use the counsellingcentre?

Let p be the probability of making use of counselling centre. Given that p = 1% = 0.01 Let X denote…

Answered: (i) What is the probability that only…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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According to Harper's Index, 50% of all federal inmates are serving time for drug dealing. A random sample of 16 federal inmates is selected. (a) What is the probability that 8 or more are serving time for drug dealing? (Round your answer to three decimal places.) (b) What is the probability that 3 or fewer are serving time for drug dealing? (Round your answer to three decimal places.) (c) What is the expected number of inmates serving time for drug dealing?
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Airline passengers arrive randomly and independently at the passenger-screening facility at a major international airport. The mean arrival rate is 5 passengers per minute. (a). Compute the probability of one arrival in a one-minute period. (b). Compute the probability that two or more passengers arrive in a one-minute period. (c). Compute the probability of no arrivals in a 12-second period. (d). Compute the probability of at least one arrival in a 12-second perioD
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(i) What is the probability that only two of them make use of the counselling centre? (ii) What is the probability that at least two of them make use of the counselling centre? (iii) What is the expected (mean) number of employees in this group who will use the counselling centre?