JAM Mathematical Statistics (MS) Question Paper 2019 Download Free PDF

JAM Mathematical Statistics Question Paper 2019 Download Free PDF

Joint Admission Test for M.Sc. (JAM) 2019 Mathematical Statistics (MS) Question paper with answers JAM Mathematical Statistics 2019 Question with solution you can download it in FREE, if JAM Mathematical Statistics (MS) 2019 paper in text or pdf for JAM Mathematical Statistics 2019 Answer Keys you can download JAM 2019 page also just Go to menu bar, Click on File->then Save.

JAM Mathematical Statistics Question Paper 2019

Joint Admission Test for M.Sc. (JAM) 2019 Mathematical Statistics Question paper Free Download PDF is available in www.oldquestionpapers.net which has been provided by many students this JAM (MS) 2019 paper is available for all the students in FREE and also JAM (MS) Question paper 2019 fully solved JAM with answer keys and solution.

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SAMPLE QUESTIONS

Q.1. The lifetime (in years) of bulbs is distributed as an 𝐸𝑥𝑝(1) random variable. Using Poisson
approximation to the binomial distribution, the probability (round off to 2 decimal places)
that out of the fifty randomly chosen bulbs at most one fails within one month equals

(A) 0.05

(B) 0.07

(D) 0.11

Q.2. In a production line of a factory, each packet contains four items. Past record shows that
20% of the produced items are defective. A quality manager inspects each item in a packet
and approves the packet for shipment if at most one item in the packet is found to be
defective. Then the probability (round off to 2 decimal places) that out of the three
randomly inspected packets at least two are approved for shipment equals __________

Q.3. Let 𝑋 and 𝑌 be i.i.d. 𝑈(0, 1) random variables. Then 𝐸(𝑋|𝑋 > 𝑌) equals

(A) ⅓

(B) ½

(D) ¾

Q.4. Let 𝐸 and 𝐹 be any two independent events with 0 < 𝑃(𝐸) < 1 and 0 < 𝑃(𝐹) < 1.
Which one of the following statements is NOT TRUE?

(A) 𝑃(Neither 𝐸 nor 𝐹 occurs) = (𝑃(𝐸) − 1)(𝑃(𝐹) − 1)

(B) 𝑃(Exactly one of 𝐸 and 𝐹 occurs) = 𝑃(𝐸) + 𝑃(𝐹) − 𝑃(𝐸)𝑃(𝐹)

(D) 𝑃(𝐸 occurs given that 𝐹 does not occur) = 𝑃(𝐸)

Q.5. Let 𝑃 be a 3 × 3 non-null real matrix. If there exist a 3 × 2 real matrix 𝑄 and
a 2 × 3 real matrix 𝑅 such that 𝑃 = 𝑄𝑅, then

(A) 𝑃𝒙 = 𝟎 has a unique solution, where 𝟎 ∈ ℝ3

(B) there exists 𝒃 ∈ ℝ3 such that 𝑃𝒙 = 𝒃 has no solution

(D) there exists a non-zero 𝒃 ∈ ℝ3 such that 𝑃 𝑇𝒙 = 𝒃 has a unique solution