302
CSE/IT/ECEIEEIEEE
Jharkhand University of Technology, Ranchi
B.Tech. 3rd Semester Examination, 2024 (NEP)
Subject : Probability and Statistics Subject Code : BSC-302
Time Allowed :3 Hours
Full Marks : 70
This question paper has seven questions carrying equal marks.
The figures on the right indicate the marks for each
question.
Answer any five of the seven given questions, in which
attempting Question No. 1is compulsory.
Answer in your own wods.
1. Choose the correct option:
) The erTOrs in a page on a book of 1000 pages follows which distribution?
(a) Binomial (b) Poisson
(c) Hypergeometric (d) Exponential
(iü)) Which of the following is wrong?
(a) P(A|B) = P(ANB) (b) P(A|B) = P(B|A)P(A)
P(B) P(B)
P(B|A)
(c) P(A|B) P(A)P(B) (d) P(A B) = P(B|A) P(A)
(ii) Aperson has bought 5out of 50 tickets in a lottery, in which two are to be declared winners.
What is the probability that the person wins the lottery?
45C2
(a) s0Cs (b)
48 Cs
(c) 1-0C (d) 1-50c
(iv) A red and a blue dice are rolled together, what is the probability that the number on blue die
is greater than that on the red die?
(a) 4/12 (b) 5/12
(c) 6/12 (d) 7/12
(v) If the value of z is greater than Z while testing of hypothesis, then
(a) H, is accepted with significance level a. (b) Ho is accepted with confidence level a.
(c) H, is rejected with significance level a. (d) H, is rejected with confidence level a.
(vi) At a toll booth with only one counter, vehicles arrive after a regular interval of 15 minutes on
average. It takes 3 minutes for a vehicles to complete the tax payment. What is the trafic
intensity at the counter?
(a) 0.5 (b) 0.25
(c) 0.2 (d) 0.02
Please Turn Over
37493
911
CSE/IT/ECEIEEIEEE
Jharkhand University of Technology, Ranchi
B.Tech. 3rd Semester Examination, 2024 (NEP)
Subject : Probability and Statistics Subject Code : BSC-302
Time Allowed :3 Hours
Full Marks : 70
This question paper has seven questions carrying equal marks.
The figures on the right indicate the marks for each
question.
Answer any five of the seven given questions, in which
attempting Question No. 1is compulsory.
Answer in your own wods.
1. Choose the correct option:
) The erTOrs in a page on a book of 1000 pages follows which distribution?
(a) Binomial (b) Poisson
(c) Hypergeometric (d) Exponential
(iü)) Which of the following is wrong?
(a) P(A|B) = P(ANB) (b) P(A|B) = P(B|A)P(A)
P(B) P(B)
P(B|A)
(c) P(A|B) P(A)P(B) (d) P(A B) = P(B|A) P(A)
(ii) Aperson has bought 5out of 50 tickets in a lottery, in which two are to be declared winners.
What is the probability that the person wins the lottery?
45C2
(a) s0Cs (b)
48 Cs
(c) 1-0C (d) 1-50c
(iv) A red and a blue dice are rolled together, what is the probability that the number on blue die
is greater than that on the red die?
(a) 4/12 (b) 5/12
(c) 6/12 (d) 7/12
(v) If the value of z is greater than Z while testing of hypothesis, then
(a) H, is accepted with significance level a. (b) Ho is accepted with confidence level a.
(c) H, is rejected with significance level a. (d) H, is rejected with confidence level a.
(vi) At a toll booth with only one counter, vehicles arrive after a regular interval of 15 minutes on
average. It takes 3 minutes for a vehicles to complete the tax payment. What is the trafic
intensity at the counter?
(a) 0.5 (b) 0.25
(c) 0.2 (d) 0.02
Please Turn Over
37493
911
