The average number of visits to a particular fast foot restaurant in a given year by random sample of US adults The sum of the values when two six-sided dice are rolled The number of visitors to a park on a randomly selected day in March

Q: An agricultural storage warehouse uses a metal building system as a lateral force resisting system…

A: Here we are given that, an agricultural storage warehouse uses a metal building system as a lateral…

Q: Let X₁~N(-1,5), X₂~N(3,2), X3~N(0,1). They are independent rv's. Find the probability distribution…

A:

Q: Determine whether the following value is a continuous random variable, discrete random variable, or…

A: We need to determine whether the given statements contains a continuous random variable, discrete…

Q: A pair of dice is thrown. Let X denote the minimum of the two numbers which occur. Find the…

A: Let a pair of dice is thrown then its sample space is written as follows:i.e.

Q: A building contractor buys 70​% of his cement from supplier A and 30​% from supplier B. A total of…

A: See below the solution

Q: The probability that a person in the United States has type B​+ blood is 10​%. Three unrelated…

A: Givenn=3p=0.1q=1-pq=1-0.1=0.9Let X=no.of people have B+ blood groupX~Binomial(n=3 , p=0.1)P(X=x)=3x…

Q: In a flow system, the arrival rate to a particular station is 40 units per hour. The station has 4…

A: Given:-                 Average rate of arrival λ = 40 / hr.                 Average rate of service…

Q: is x discrete or a continuous random variable

A:

Q: There are 6 clocks in a box, 1 of them made by company A, 3 by company B and 2 by company C. Draw 2…

A: Given the event of drawing 2 clocks from the box without replacement. The box contains 6 clocks, 1…

Q: find the probability that a random chosen point i in the figure lies in the shaded region.

A: The entire region is a equilateral triangle of side length=a=10 inSo the area of the…

Q: B1 A B2 D B3

A: Probability that A malfunctions is 0.15, therefore efficiency of A is 0.85. The Probability that B…

Q: The amount of time it takes Marc to wait for the bus is continuous and uniformly distributed between…

A: Let x denote the waiting time for bus. X~U(3,14).

Q: A post office has three clerks, each of whom is serving a customer. The service times are i.i.d.…

A: Here given that a post office has three clerks, each of whom is serving a customer. Service times…

Q: Contracts for two construction jobs are randomly assigned to one of or more of three firms, A, B,…

A:

Q: A blood bank asserts that a person with type O blood and a negative Rh factor (Rh−) can donate blood…

A:

Q: Given a survey conducted of randomly selected students, the number of credit course units that each…

A: Here , we know that number of students are countable. When we can count then it is discrete random…

Q: Show that the chain of independent random variables has a unique stationary distribution and find…

A: A probability distribution of the Markov chain which remains stable and unchanged as time progresses…

Q: Decide whether the random variable X is discrete or continuous. X represents the tension at which a…

A: Introduction A variable is any characteristic that is being measured.

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!