EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 30 - Probability>AMU-AT (B.Tech.) 2018>Q 7

HARD

AMU-AT (B.Tech.)

IMPORTANT

Earn 100

A fair coin is tossed $n$ times. Let the random variable $X$ denote the number of times the head occurs. If $P [X = 1], P [X = 2]$ and $P [X = 3]$ are in arithmetic progression (AP), then the number $n$ of independent trial is

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Important Questions on Probability

MEDIUM

AMU-AT (B.Tech.)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 30 - Probability>AMU-AT (B.Tech.) 2017>Q 8

If

A

and

B

are two events associated to some experiment

E

such that

P (A) = 0.5, P (B) = 0.4,

P (A \cap B) = 0.3,

then

P (\frac{A^{C}}{B^{C}})

is equal to

EASY

AMU-AT (B.Tech.)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 30 - Probability>AMU-AT (B.Tech.) 2017>Q 9

If

X

follows a binomial distribution with parameters

n = 100, p = \frac{1}{3},

then

P (X = r)

is maximum, when

r

is equal to