![tornadowolfcosplay](/avatars/32236.jpg)
tornadowolfcosplay
23.09.2019 •
Mathematics
Match each object with its approxinate weight
Solved
Show answers
More tips
- A Auto and Moto Mastering One-Movement Parking: All You Need to Know...
- P Photography and Videography Understanding HDR: How It Works and Why You Need It...
- P Photography and Videography How to Choose the Perfect Photo Paper for Your Images?...
- C Computers and Internet How to Choose an Uninterruptible Power Supply (UPS) for Your Computer: Expert Tips...
- S Science and Technology How to choose a home theater system?...
- A Auto and Moto How to Choose a Car Wash? Tips and Recommendations...
- A Animals and plants How ants survive winter: exploring the secrets of their winter life...
- C Construction and repair How to Choose the Best Underfloor Heating?...
- S Sport When is the Champions League final?...
- S Sport When and Where Will the 2014 World Cup be Held?...
Answers on questions: Mathematics
- M Mathematics Maria juiced lemons from 7 different lemon trees, and recorded the amount collected, in gallons, from each tree in the line plot shown: Maria’s mom stored some of...
- M Mathematics What is length of Ef?...
- M Mathematics Free therapist!! people say im good at i...
- M Mathematics How many 5.6 kg are in g...
- M Mathematics Acollection of coins contains 12 nickels, 5 quarters, and 7 dimes. what is the percentage of dimes in the collection...
- M Mathematics A prime number only has two factors - the number itself and 1. 6th grade math...
- M Mathematics Simplify 6-12b divided by 3a-6ab...
- M Mathematics Find the polynomial function from zeros -1 and 1 - 3i...
Ответ:
a) There is a 7.20% probability that the first applicant with advanced training in programming is found on the fifth interview.
b) The expected number of interviews to find the first one with advanced training is 3.33.
c) The expected cost is $99.9.
The variance of the cost is $22.053.
Step-by-step explanation:
The negative binomial distribution is the number X of repeated trials to produce r successes with p probability in a binomial experiment.
The probability that it takes n trials for x sucesses is given by:
In which
is the number of different combinatios of x objects from a set of n elements, given by the following formula.
In this problem, we have that:
Suppose that 30% of the applicants for a certain industrial job possess advanced training in computer programming. This means that
.
(a) Find the probability that the first applicant with advanced training in programming is found on the fifth interview.
This is the probability that it takes 5 trials for 1 sucess. So,
.
There is a 7.20% probability that the first applicant with advanced training in programming is found on the fifth interview.
(b) What is the expected number of applicants who need to be interviewed in order to find the first one with advanced training?
The expected number of trials to get r sucesses is given by
So, with
.
The expected number of interviews to find the first one with advanced training is 3.33.
(c) Let Y denote the number of the trial on which the first applicant with computer training was found. If each interview costs $30, find the expected value and variance of the total cost incurred interviewing candidates until an applicant with
There are 3.33 expected interviews before the first candidate with computer training is found. Each interview costs $30. Soo the expected cost is
The expected cost is $99.9.
The variance of the number of expected trials to find r sucesses is given by:
So
The variance of the cost is 0.7351*30 = $22.053.