-According to a job offering applicants must have a master degree in computer sc
ID: 3294769 • Letter: #
Question
-According to a job offering applicants must have a master degree in computer science. five percent of all the applicants in addition have a PhD. twenty applicants are gathered in a room and then they are randomly interviewed one after the other. what is the probability that the first PhD is selected in the third trial? A)0.060 B)0.0451 C)0.125 D)0.9840
-A medical experiment is conducte to see if employes of a certain factory test positive for lead in their system. Suppose that 40% of the employees are contaminated. what is the probability that the fifth individual tested will be the second positive? A)0.24 B)0.13824 C)0.09216 D)0.03456
-A company producess computer of which 5% are defective. in a quality test, what is the probability that the second defective computer is found in the sixth trial? A)0.03 B)0.002 C)0.01 D)0.031
I need help with theses questions please thank you
Consider a random variable X whose cumulative distribution function is given below. 0 for x0 1/4 for 0Explanation / Answer
Question 1:
As 5% of them have got PHDs,
Probability that the third one would be the first one to have a PHD would be
= Probability that first two wont have a PHD* Probability that the third person would have a PHD
= (1-0.05)2*0.05
= 0.045125
Therefore B) 0.0451 is the correct answer here.
Question 2:
40% of the employees are contaminated. The probability that the fifth individual tested will be the second positive?
= Probability that there will be 1 positive in first 4 trials*Probability that the 5th one will be positive
= 4*(1-0.4)3*0.4*0.4
= 0.13824
Therefore B) 0.13824 is the required probability here.
Question 3:
This is similar to the last question:
Probability that the second defective is the 6th trial
= Probability that there is 1 defective in first 5 trials*Probability that the 6th is defective
= 5*(1-0.05)4*0.05*0.05
= 0.01
Therefore C) 0.01 is the required probability here.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.