Page 178 - Engineering Mathematics Workbook_Final

Probability & Statistics

(a) 3 (b) 2 (c) Mean is greater than median and
mode
2
(c) 1 (d)
3 (d) Mode is greater than median

[ESE-2018-EE] [GATE-2018-CE (AFTERNOON
SESSION)]
86. The Graph of a function f(x) is shown
in the figure. 88. The arrival of customers over fixed
time intervals in a bank follow a
poisson distribution with an average
of 30 customers / hour. The
probability that the time between
successive customer arrival is
between 1 and 3 m minutes is
__________ (correct to two decimal
places).

For f(x) to be a valid probability [GATE-2018-ME (AFTERNOON

density function, the value of h is SESSION]

(a) 1/3 (b) 2/3
89. Let X and X bet wo independent
1 2
(c) 1 (d) 3 exponentially distributed random
variables with means 0.5 and 0.25,
[GATE-2018-CE (AFTERNOON respectively. Then Y-min ( X X )
,
SESSION)] 1 2
is
87. A probability distribution with right
skew is shown in the figure. (a) exponentially distributed with
mean 1/6

(b) exponentially distributed with
mean 2

(c) normally distributed with mean ¾

(d) normally distributed with mean
1/6
The correct statement for the
probability distribution is [GATE-2018-ME-AFTERNOON

SESSION]
(a) Mean is equal to mode

(b) Mean is greater than median but
less than mode

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