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**Unformatted text preview: **NEIIHE:—--—-—_.... Roll no.—---
CLASS TEST IInd Yr BTeeh and MSc
Subject: Probability and Statistics Sub No. MA. 2111014 Time 5!] Mins Max Marks ID
(i) Answer All Questions
Question no.2 and a carry 2 marks each, other carry 1 mark each
(ii) Statistical Tables may be used. Examine the following statements and ﬁll in the blanks appropriately. Write
your answers only against each question. Use separate sheets for rough works
-submit these separate sheets along with your answer sheet. 1. Let X1.X21........1X75 be a random sample from an uniform distribution. Then
P{[}.45 a: X s: 0.55} is 2. Let X1, X3, ...... .., X25 be a random sample from a NIH, 102} population. i=2s - 2
_ - . X.—x
Define X :3 Hr +2';""'+x and 5'3 — L J _ Then the value of em cc: X s s. sears <: .‘2 «:1 15155.8?5} i5 3. Suppose the joint normal probability density function of X and Y is given by _ _2 ‘1 —2 2 «2 —2
n.2,.) amass: + es" Les 1 ,
then the 1mines of the 5 parameters involved in the joint density function are 4. Suppose X is the mean of a random sample of size 5 from normal distribution 1with
mean zero and variance 125. Then the value of G such that P{X a: C] = 9.99 is 5. If {X1 Y) is a bivariate normal random variable with n; :: 3.9,ny = Lilo: =
1511,05,: esn and pry = g. then the value of Hesse e .r «a: Lily = —an is 6. if [X1, X3) is random sample from Nﬁl, U1 the distribution of is 7. ll F—valuo with 2 and 5 degrees of freedom leaving an area of 9.0991 to the right is
97.93 ._ the F-value 1with 5 and 2 degrees of freedom leaving an area 9.9999 to the right is 8. Suppose the statistic T is given by
T = '11"; Eli—ll} and the probability that PU: 6: T :: —i.'i’ﬁﬂ] =9.945 for a random sample of size 15
selected from a normal population, then the value of it is —hThe Paper Ends- — ...

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- Spring '14