The probability density function of the time X (in minutes) between calls at the customer care is given by: f(x)=((1/9)e^(-x/9)) if x ...

The total duration (in minutes) of a badminton match in the Premier Badminton League (PBL) is uniformly distributed between [a,b] with variance 12 square minutes. The probability that a match will last at most 45 minutes is 1/6 . Find ...

In a certain exhibition, the time for the next visitor to come is exponentially distributed with a standard deviation of 11 minutes. What will be the expected time (in minutes) for two visitors to arrive if one comes after the ...

Probability density function of a random variable X is given by f(x)= 0.2x           if 0≤x≤1 f(x)=0.2                 if 1≤x≤2 f(x)=0.2x-0.2          if 2≤x≤3 f(x)=0.4                ...

The length of time for one person to be served at a restaurant is exponentially distributed with an expected time of 55 minutes. If 5 persons arrived at the restaurant then what is the probability that at least 2 of ...

The time that Jan shatabdi express will reach the Delhi station is uniformly distributed between 3 p.m and 7 p.m. What is the probability that the train reaches Delhi exactly at 6 p.m?

The amount of milk produced every day by a dairy is uniformly distributed between 100 litres and 120 litres. What is the probability that the amount of milk produced is more than 118 litres given that on that day, more ...

Let a random variable is uniformly distributed over [a,b] with expectation and variance 9.5and 81/12 respectively. Find the value of ab.

given the probability density function (PDF) of a random variable X: f(x) = kx^2 if x ∈ [0,1] f(x)= 0 otherwise where k is a constant. Find P(0.2<X<0.8)? hint ∫[a,b] cx^2 dx = c [(x^3)/3] from a to b ​where, c is a ...