Embibe Experts Solutions for Chapter: Probability Distribution, Exercise 1: Exercise 1

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Embibe Experts Mathematics Solutions for Exercise - Embibe Experts Solutions for Chapter: Probability Distribution, Exercise 1: Exercise 1

Attempt the practice questions on Chapter 28: Probability Distribution, Exercise 1: Exercise 1 with hints and solutions to strengthen your understanding. Mathematics Crash Course MHT-CET solutions are prepared by Experienced Embibe Experts.

Questions from Embibe Experts Solutions for Chapter: Probability Distribution, Exercise 1: Exercise 1 with Hints & Solutions

EASY
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A pair of dice is rolled, if the outcome is a doublet, a coin is tossed. Then, the total number of outcomes for this experiment is

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An experiment consists of rolling a die until a 2 appears. Then, number of elements of the sample space corresponding to the event that the 2 appears not later than the kth roll of the die is

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A random variable X has the following probability distribution:

X -2 -1 0 1 2 3
P(X) 0.1 k 0.2 2k 0.3 k
Then the value of k is

MEDIUM
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A discrete random variable X has the following probability distribution

X 1 2 4 5 6 7
PX C 2C 3C C2 2C2 7C2+C

The value of C and the mean of the distribution are

MEDIUM
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The total lifetime (in year) of 5 year old dog of a certain breed in a random variable whose distribution function is given by fx=0, for x51-25x2,for x>5. Then the probability that such a five-year-old dog will live beyond 10 years are

MEDIUM
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For the probability distribution given by

X=xi 0 1 2
Pi 25/36 5/18 1/36

The standard deviation σ is

MEDIUM
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If the probability density function of a random variable is given by fx=k1-x2, 0<x<10, elsewhere, then the value of k is

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If Fx=1ππ2+tan-1-<x< is a distribution function of a continuous variable X, then P0x1 is