 ### Classify the statement as an example of classical probability, empirical probability, or subjective probability. The probability that a newborn baby is a boy is 1/2.

This article aims to determine the category of a given statement and whether the given statement is an example of empirical, classical, or subjective probability. This article uses the concept of three types of probabilities. Classical probability Classical probability can only be used if a finite number of possibilities have the same probability. As such, it isn’t easy to […]

### What is the probability that a five-card poker hand does not contain the queen of hearts?

The aim of this question is to find the number of possible ways for which a $5$-card poker hand of a total of $52$ cards should not have the queen of hearts. In order to solve this problem the right way, we need to understand the concept of Permutation and Combination. In mathematics, the […]

### How many subsets with an odd number of elements does a set with 10 elements have?

This question aims to find out how many combinations of a set with ten elements could be made. We need to build our understanding of a basic concept of combination for that purpose.  Moreover, this question is based on the concepts of statistics. A set is a well-defined collection of different things which may include […]

### If X is a normal random variable with parameters µ=10 and σ^2=26 , compute P[X<20]

This article aims to solve a normal random variable X with $mu = 10$ and $sigma ^ {2} = 36$. This article uses the normal random variable concept. Like the standard normal distribution, all normal distributions are unimodal and symmetrically distributed with a bell-shaped curve. However, the normal distribution can take any value as its mean and standard deviation. Mean and standard deviation are […]

### Compute the following binomial probabilities directly from the formula for b(x, n, p).

b( 3, 8, 0.6 ) b( 5, 8, 0.6 ) P( 3 $le$ X $le$ 5 ) when n = 8 and p = 0.6 The aim of this question is to use the binomial random variable and its probability mass function to find probability values. The binomial probability mass function is mathematically defined as: […]