Consider the following probability distribution: 1 3 8. P(x) .1 .4 .4 .1 a. Find u, o, and o. Eind

Q: Find the mean of the given probability distribution. x| P(x) O 0.26 1 0.11 2 0.16 3 0.05 4 0.42…

A: Solution:- find the mean of the given probability                       distribution.…

Q: Complete the following probability distribution function table. X P(X) 1 0.31 2 0.14 3 0.07 4 ? 5…

A: The question is about discrete probability distribution Given :   To find : Complete the given…

Q: A random variable Yhas a probability distribution given in the following table. Y 5 7 11 13 P(Y = y)…

A: Given: The pdf of Y is Y 5 7 9 11 13 P (Y =y) 0.12 0.08 0.28 0.20 0.32

Q: The probabilities for a discrete probability function all fall between which two values? 0.5, 1 0, 1…

A:

Q: Find the probability of exactly 7 Mexican-Americans among 12 jurors. Round your answer to four…

A: It is given that 12 jurors are randomly selected from a population in which 82% of the people are…

Q: Consider the given discrete probability distribution. Find the probability that x eq x P(x ) 3 4 7 8…

A: Given that  Probability distribution table.  X 3 4 7 8 P(x) 0.14 a=0.62 0.02 0.22

Q: Find mean of the following probability distribution. 1 2 3 4 P(X) 0.28 0.23 0.31 0.18 а. 4.24 b.…

A:

Q: Determine whether the following is a probability Distribution and state why or why not.   X 5 6 7 8…

A: Given, Probability distribution is: X 5 6 7 8 9     P(X) 0.01 0.26 0.33 0.44 0.35

Q: Consider the following probability distribution: P(X) 1 0.1 2 ? 3 0.2 4 0.3 What is the mean of the…

A: Introduction:  Probability distribution:  The probability mass function of any discrete random…

Q: Assume that 11% of Douglas College students are left-handed. Suppose you randomly select 100…

A: Given that n= number of observation= 100 p= probability of success= 11%=0.11 since each trial is…

Q: The discrete random variable X has the following probability distribution (See image below). Solve…

A: Given PMF of X. Now will using this pmf to find mean.x = [15,20,25,30]p(x) = [0.20,.15,.32,0.33]

Q: The table below gives the probability distribution for a discrete random variable X. C. Find P(X…

A: X012345p0.320.16?0.180.140.05

Q: Let X be the number of errors that appear on a randomly selected page of a book. The following table…

A: Since, the sum of all probabilities of a distribution is always equal to 1. That means ∑P(x) = 1 The…

Q: Let Pi denote the probability of getting a disease if vaccinated, and P2 denotes the probability of…

A: Let, p1 denotes the probability of getting the disease if vaccinated.  p2 denotes the probability of…

Q: The time it takes to travel from home to the office is normally distributed with μ = 25 minutes and…

A:

Q: P(4) = (Type an integer or a decimal.)

A:

Q: Determine the required value of the missing probability to make the distribution a discrete…

A: We know that, for a discrete probability distributionThe sum of probability at all different…

Q: Determine the required value of the missing probability to make the distribution a discrete…

A: Answer:- Given, Discrete probability distribution table is,  x P(x) 3 0.22 4 ? 5 0.31 6…

Q: Calculate the mean for the discrete probability distribution shown here. 6 7 0.24 0.32 X P(x) 1 0.25…

A: The table shows x values and their probability values.

Q: Which of the following listed below is a legitimate probability distribution? A. B. C. X p(x) D. E.…

A: A discrete probability distribution indicates all possible values of a random variable and the…

Q: 10. Tell whether the given values represent a Probability Distribution or not. P(1) = 1/4 , P(2) =…

A: 10)Given data is P(1)=14,P(2)=18,P(3)=14,P(5)=18

Q: Suppose you have an experiment where you draw three cards (with replacement) from a standard deck of…

A: Solution-: Suppose you have an experiment where you draw three cards (with replacement) from a…

Q: A random number X has the following probability distribution: x P(X=x) 0 .2 1 .2 5 .1 10 .3 y .2…

A: Given Data: Expected value: E(X)=10 The expected value of the given distribution is,…

Q: Suppose that the random variable x, shown below, represents the number times. P(x) represents the…

A:

Q: Determine the required value of the missing probability to make the distribution a discrete…

A: We know that total probability is equal to one.

Q: Fill in the P(X=x) values to give a legitimate probability distribution for the discrete random…

A:

Q: 13) Determine whether the following is a probability distribution. If not, identify the requirement…

A: Given data is x P(x) 0 0.109 1 0.208 2 0.246 3 0.159 4 0.096 5 0.228

Q: The probability distribution P(x) of the number of dogs x per household in a certain county in US is…

A: Introduction:The probability of an event in an experiment is the number outcomes in the experiment…

Q: What are the probability distribution of X and Y? Are they independent?

A: Since ,the joint probability distribution of X and Y is given by,   1 2 3 Total 1 0.32 0.03…

Q: On a popular app, users rate hair salons as 1, 2, 3, 4, or 5 stars. Suppose a rating is randomly…

A: given data, p(X=1)=0.25p(X=2)=0.19p(X=3)=0.09p(X=4)=0.21p(X=5)=0.26we have to find out the given…

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!