Determine the required value of the missing probability to make the distribution a discrete probability distributionP(4)= _ **Probability Distribution Table**The table below represents a probability distribution for a discrete random variable \( x \).| \( x \) | \( P(x) \) ||:---:|:---:|| 3 | 0.33 || 4 | ? || 5 | 0.45 || 6 | 0.05 |### Explanation- **Column 1 (\( x \))**: The values of the discrete random variable.- **Column 2 (\( P(x) \))**: The corresponding probability of each value of \( x \). Note that the probability for \( x = 4 \) is missing and is denoted by a question mark (?).The sum of all probabilities (\( P(x) \)) in a complete probability distribution must equal 1. This information can be used to calculate the missing probability value.

Solution: The given probability distribution is x P(x) 3 0.33 4 ? 5 0.45 6 0.05

Answered: Determine the required value of the…

Determine the required value of the missing probability to make the distribution a discrete probability distribution P(4)= _

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: A normal probability distribution a. Must have a standard deviation of 1 b. Can be either…

A: The given distribution is normal distribution.

Q: Assume the Poisson distribution applies. Use the given mean to find the indicated probability Find…

A: Given that, Poisson distribution with mean, μ=9

Q: Assume the Poisson distribution applies. Use the given mean to find the indicated probability. Find…

Q: Derive the mean, variance, and moment generating function of all the probability functions of…

A: Solution : Let , X be the random variable 1. Uniform distribution : Let , X ~ U ( a, b) PDF of X…

Q: 6. In a certain communications system, there is an average of 1.3 transmission errors per 10…

A: The frequency distribution broadly classified as observed frequency distribution and theoretical…

Q: nt Suppose a random variable r is best described by a uniform probability distribution with range 0…

Q: Assume that the number of students in a class follows the Poisson distribution with λ = 14. The…

A: Poisson distribution is a discrete probability distribution.

Q: Assume the Poisson distribution applies. Use the given mean to find the indicated probability. Find…

A: Let X follows Poisson(3)

Q: Create an example for (a) poisson distribution and (b) gamma distribution. Then, for both examples,…

A: We have to obtain an example for Poisson and the Gamma distribution and obtain the exact probability…

Q: random variable X follows Poisson distribution with a rate of 7. Calculate the probability P(X =…

A: A random variable X follows Poisson distribution with a rate of 7. here λ=7we have to find out the…

Q: The birth rate in a hospital is given to match the Poisson distribution with an average of 1.2 per…

A: Let us consider, the number of births in a hospital is denoted by X. Then it is given that…

Q: X 3 4 5 6 P(x) • 0.32 ? 0.25 0.25

A: x P(x) 3 0.32 4 a 5 0.25 6 0.25 we have to find P(x=4) =? lets assume p(x=4) = a

Q: Let X be a random variable with a Poisson distribution having a mean of 3. Find the cumulative…

A: The cumulative distribution function of a Poisson random variable X is given by: F_X(x) = P(X <=…

Q: Let X be a random variable with a Poisson distribution with parameter λ. What is the probability…

Q: The graph of a continuous probability distribution cannot have y-values larger than 1.

A: Given that The graph of a continuous probability distribution cannot have y-values larger than 1.…

Q: Assume a random variable X follows a Poisson distribution with a mean μ=2.6 P(X≤3)= Round each…

A: Given : a random variable X follows a Poisson distribution with a mean μ = 2.6 The formula for…

Q: ose that we know, in addition, thất the standard deviation of the student's test on the final is…

A: We have given that. X~N( μ , ?^2 ) μ = 71.5 , ? =8.8 Z-score =( x - μ )/?

Q: A friend commutes by bus to and from work 6 days/week. Suppose that waiting time is uniformly…

A: Given information: X~U0,10a=0b=10

Q: andom variable X follows Poisson distribution with a rate of 5. Calculate the probability P(X = 4)?

A: A random variable X follows Poisson distribution with a rate of 5.λ=5 Calculate the probability P(X…

Q: Exercises 1. Invent an interesting and original distribution for a discrete random variable X that…

A: X={2,5,8,11,14,17} Values are taken randomly so every element will have equal probability :…

Q: A firm has two cars which it gives on rent every day. Average demand of car is 1.5 per day. Using…

Q: Suppose the number of births at a local hospital follows a Poisson distribution with a mean of 6…

A: GivenMean of 6 births per weekλ=6 per weekLet "x" be the no.of births in a…

Q: Assume the Poisson distribution applies. Use the given mean to find the indicated probability. Find…

Q: Q. Is it possible to have a uniform probability distribution and an exponential probability…

A: Let a continuous random variable with a uniform probability distribution over the interval , then…

Q: Yhmeer is watching a shower of meteors (shooting stars). During the shower, he sees meteors at an…

A: Conditions required for a Poisson distribution: The probability of event occurring should be same…

Q: Applying the conditions for using Poisson Probability Distribution, show how the number of customers…

A: A discrete random variable X is said to follow Poisson distribution with parameter , if its…

Q: Define marginal probability functions.

Q: Assume the Poisson distribution applies. Use the given mean to find the indicated probability. Find…

A: Let X be the random variable from Poisson distribution with mean (μ) or ( (λ) = 7 then We will find…

Q: An elementary school keeps a record of the number of children sent to the office for disciplinary…

A: (a) Obtain the probability that more than one child is sent to the office per day. The…

Q: The number of telephone calls passing through a switchboard has Poisson distribution 3t where t is…

A: we have given that the number of telephone calls passing through a switchboard has Poisson…

Q: All probability distributions whose variable extent depends on the parameters do not belong to the…

A: #: All the probability distribution whose variable extent depends on parameter do not belongs to…

Q: is this statement true or false The probability of any possible value in a discrete in a…

A: Here is the solution.

Q: suppose the number of accidents occurring in a week on a particular strech of a highway follow a…

A: Answer: For the given data, Let X denote that the number of events occuring Here X follows Poisson…

Q: The mean value of the Gaussian probability distribution is numerically equal to its variance. True…

A: The Gaussian probability distribution has two parameters mean and variance.

Q: The Poisson and Gaussian probability distributions of a random variable x assume a similar shape as…

A: The Poisson and Gaussian probability distributions of a random variable x assume a similar shape as…

Q: Classify each of the following probability values as either valid or invalid P(X) =0.6x P(X) = 0.65…

A: Answer :- Find the following probability values as either valid or invalid We know,…

Q: What is the difference between discrete and continuous probability distributions? What are six…

A: Explain the difference between discrete and continuous probability distribution.

Question

100%

Determine the required value of the missing probability to make the distribution a discrete probability distribution P(4)= _

**Probability Distribution Table**

The table below represents a probability distribution for a discrete random variable \( x \).

| \( x \) | \( P(x) \) |
|:---:|:---:|
| 3 | 0.33 |
| 4 | ? |
| 5 | 0.45 |
| 6 | 0.05 |

### Explanation

- **Column 1 (\( x \))**: The values of the discrete random variable.
- **Column 2 (\( P(x) \))**: The corresponding probability of each value of \( x \). Note that the probability for \( x = 4 \) is missing and is denoted by a question mark (?).

The sum of all probabilities (\( P(x) \)) in a complete probability distribution must equal 1. This information can be used to calculate the missing probability value.

Video Video

Expert Solution

Step 1

Solution:

The given probability distribution is

x	P(x)
3	0.33
4	?
5	0.45
6	0.05

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

For a probability binomial distribution with P=0.50 and n=8 (a) Construct the probability distribution for all values of x (b) Graph the binomial distribution using a histogram
Suppose data x is distributed with poisson distribution with λ=100 then find the probability of x=99
kindly help me with this problem in OTHER DISCRETE PROBABILITY DISTRIBUTIONS follow this formath Given; Required; & Solution thank you!
Show that the Geometric probability distribution, with parameter p, is a valid discrete probability distribution.
An online advertisement is viewed 1.1 times per hour an average. The number of views per hour follows a Poisson distribution. Find the probability that the advertisement will be viewed more than 2 times in a randomly selected hour. (Provide your answer as a number between 0 and 1 rounded to 3 decimal places.)
An online advertisement is viewed 2.6 times per hour an average. The number of views per hour follows a Poisson distribution. Find the probability that the advertisement will be viewed more than 2 times in a randomly selected hour. (Provide your answer as a number between 0 and 1 rounded to 3 decimal places.)
Suppose that the test score of a student taking the final of a probability course is a random variable with mean 67.9. (a) Give an upper bound for the probability (in three decimal places) that the student's test score will exceed 95. Answer:
Consider a Poisson distribution with an average of 4 customers per minute at the local grocery store. If X = the number of arrivals per minute:Find the probability of 8 customers or less arriving within a minute. Find the probability of more than 7 customers arriving within a minute. Find the probability of 3 customers arriving within a minute.
What do i specifically put in the box as p(x)=
Use the Poisson distribution to find the indicated probabilities Deaths from Horse Kicks A classical example of the Poisson distribution involves the number of deaths caused by horse kicks to men in the Prussian Army between 1875 and 1894. Data for 14 corps were combined for the 20-year period, and the 280 corps-years included a total of 196 deaths. After finding the mean number of deaths per corps-year, find the probability that a randomly selected corps-year has the following numbers of deaths: (a) 0, (b)1, (c)2, (d)3, (e)4. The actual results consisted of these frequencies: 0 deaths (in 144 corps-years) ;1 death (in 91 corps-years); 2 deaths (in 32 corps-years); 3 deaths (in 11 corps-years); 4 deaths (in 2 corps-years). Compare the actual results to those expected by using the Poisson probabilities. Does the Poisson distribution serve as a good tool for predicting the actual results?
A delivery truck travels from point A to point B and back using the same route each day. There are four traffic lights on the route. Let X1 denote the number of red lights the truck encounters going from A to B and X2 denote the number encountered on the return trip. Data collected over a long period suggest that the joint probability distribution for (X1, X2) is given by