Reg 210.2 न 02000114 0605204൦:
APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY
Fourth semester B.Tech examinations (S), September 2020

Course Code: MA206
Course Name: PROBABILITY & STATISTICS AND NUMERICAL METHODS
(BT, FT, MT)
Max. Marks: 100 Duration: 3 Hours
Statistical tables are permitted in the examination hall
PARTA
Answer any two full questions, each carries 15 marks. Marks

1 a) The probability mass function of a random variable X is given below (8)

Find 1) © ‏(2<1)صرد‎ 3800)
b) A random variable X follows Poisson distribution such that (7)

P(X =0)=SP(X =1) : Find 1) P(X =3) 2) P(X >3)

Ne

a) ൧൧ agricultural co-operative claims that 90% of the water melons shipped out are (8)
ripe and ready to eat. Find the probabilities, using Binomial Distribution, that among
18 watermelons shipped out
i) All 18 are ripe and ready to eat.
ii) At least 16 are ripe and ready to eat.
iii) At most 14 are ripe and ready to eat.
b) Ina Normal Distribution 31% of the item are under 45 and 8% are above 64. Findits (7)
mean and standard deviation.

3 2) Find the value of K for the probability density function f(x) given below and (8)

hence find its mean and variance where /(*) = ‏عل‎ <“ = x20
=0 otherwise
0) Incertain experiments the error made in determining the solubility of a substance isa (7)
random variable having the Uniform Density with a = - 0.025 and B = 0.025 what are
the probabilities that such an error will be
i) Between 0.010 and 0.015

ii) Between - 0.012 and 0.012

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