# Probability Distribution

Probability distribution is a fundamental concept in statistics and probability theory, serving as a mathematical framework for understanding the likelihood of various outcomes in a random experiment or process. It provides a systematic way to describe the possible values and their associated probabilities, enabling analysts to make informed decisions and predictions based on data. Understanding different probability distributions is essential for modeling real-world phenomena, conducting statistical inference, and solving a wide range of practical problems across various fields, from finance and engineering to biology and social sciences.

Questions

- How do you determine the required value of the missing probability to make the following distribution a discrete probability distribution?
- Is the temperature of a cup of coffee sitting on the counter related to the number of minutes since it was poured into the coffee cup a discrete or continuous graph?
- How many heads are expected in 28 tosses of a fair coin?
- What's the difference between a binomial, hypergeometric, and Poisson probability distribution?
- The experimental probability of randomly choosing a red ball from a bag filled with red and blue is #75%.# if there are 4 blue balls in the bag, how many red balls are there?
- What is the difference between a discrete random variable and a continuous random variable?
- Products from a certain machine are too large 15% of the time. What is the probability that in a run of 20 parts, 5 are too large?
- There are 8 members of the women’s basketball team and 7 members of the men’s track team at an athletic club meeting. What is the probability that a committee of 3 selected at random will have at least 2 members of the basketball team?
- If random variable X has a probability density function of f(x)=1/x on the interval[e,e^2], what is the standard deviation of X?
- The mean number of oil tankers at a port city is 8 per day. The port has facilities to handle up to 12 oil tankers in day. What is the probability that too many tankers will arrive on a given day?
- I have tried to solve number a and b, but I am confused to solve number c. Would you be so kind to help me please? It's about mathematical statistics. I am studying for my midterm. Thank you very much for your help before.
- You have studied the number of people waiting in line at your bank on Friday afternoon at 3 pm for many years, and have created a probability distribution for 0, 1, 2, 3, or 4 people in line. The probabilities are 0.1, 0.3, 0.4, 0.1, and 0.1, respectively. What is the probability that at most 3 people are in line at 3 pm on Friday afternoon?
- Verify that f(x)=x/8 can serve as the probability density function of a continuous random variable which can take on any value in the interval from 0 to 4 ?
- Records show that the probability is 0.00006 that a car will have a flat tire while driving through a certain tunnel.Find the probability that at least 2 of 10,000 cars passing through this channel will have flat tires?
- A cafeteria offers four desserts: chocolate cake, chocolate pudding, ice cream sundae, and donuts. Two desserts at random on every plate. What is the probability that any randomly-chosen plate has pudding and a donut?
- A cooler at a soccer game holds 10 apple juices and 10 orange juices. If the first player chooses a juice and drinks it, then the second player chooses a juice, what is the probability that both players would choose orange juice?
- At a certain breakfast restaurant, the probability of a customer ordering coffee is 0.8. When the restaurant seats two new customers, X is the number of customers ordering coffee. What is P(X=0)? Enter your answer, as a decimal, in the box. P(X=0) =
- Can you calculate the probability that a randomly chosen freshman studies more than 9 hours? If not, explain why not. (Use information given below)
- A jar contains 100 marbles. There are 35 blue marbles, 34 green marbles, 28 red marbles, and 3 yellow marbles. What is the probability of randomly selecting a yellow marble?
- A container has 14 yellow chips, 10 blue chips and 12 red chips in it one chip is randomly chosen from the container , then second chip is randomly chosen after replacing the first chip. what is the probability that both chips are red?