What you have calculated there is the probability of 4 heads, which is also the probability of zero heads (4 tails).vanitymdl said:Homework Statement
Consider the experiment of tossing a fair coin 4 times. What is the probability distribution of the number X of heads?
The Attempt at a Solution
I got (0.5)(0.5)(0.5)(0.5) = 0.0625 but its wrong and I don't know why
A probability distribution is a mathematical function that describes the likelihood of a random variable taking on a certain value or set of values. It is used to model and analyze the behavior of random events or phenomena.
While probability refers to the likelihood of a single event occurring, a probability distribution shows the probabilities of all possible outcomes for a random variable. In other words, it gives a broader picture of the possible outcomes and their corresponding likelihoods.
There are many types of probability distributions, but some of the most commonly used ones include the normal distribution, binomial distribution, Poisson distribution, and exponential distribution. Each of these distributions has its own unique characteristics and is used to model different types of random phenomena.
Probability distributions are used in many fields, including finance, economics, physics, and biology. They are used to make predictions and analyze data, such as in risk assessment, market analysis, and statistical modeling. They also play a crucial role in decision-making processes, such as in determining insurance premiums or designing experiments in scientific research.
Yes, probability distributions can be applied to non-numerical data through the use of discrete distributions, which represent the probabilities of discrete, non-numerical outcomes. For example, a probability distribution can be used to model the likelihood of a certain word appearing in a text, or the likelihood of a particular species being present in a given ecosystem.