Correct Option: A
Explanation:

A branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data

Correct Option: A
Explanation: False. If another event does not influence the occurrence of an event, it is called an Independent Event. In probability theory, the occurrence of one event is said to be independent of the occurrence of another event if the occurrence of one event does not affect the probability of the occurrence of the other event.

Correct Option: C
Explanation:

Non-mutually Exclusive Event

A non-mutually exclusive event is an event that can occur simultaneously with another event. In this case, drawing either a King or a Queen card from a deck of cards are not mutually exclusive events, since a card can be both a King and a Queen (the Queen of Hearts, for example). The probability of drawing either a King or a Queen card is calculated by adding the probability of drawing a King card to the probability of drawing a Queen card, minus the probability of drawing a card that is both a King and a Queen (which is zero in this case).

In contrast, mutually exclusive events are events that cannot occur at the same time, such as drawing a King card and a Queen card from the same deck of cards. Simple events are the most basic outcomes of an experiment, while exhaustive events cover all possible outcomes of an experiment.

Correct Option: A
Explanation: The correct answer is "Inferential Statistics". Inferential statistics is the branch of statistics that deals with making inferences about a population based on information gathered from a sample. It involves using statistical methods to draw conclusions about a population parameter based on sample statistics. In contrast, descriptive statistics involves summarizing and describing the characteristics of a sample or population, without making any inferences beyond the data at hand.

Correct Option: B
Explanation:

Statistics is an art of learning data.

Statistics is a discipline that involves the collection, analysis, interpretation, and presentation of data. It provides a set of tools and techniques that can be used to explore, understand, and draw conclusions from data. In this sense, statistics can be thought of as an art form, as it requires creativity, intuition, and judgment to effectively analyze and interpret data.

Probability is also an important component of statistics, as it provides a foundation for understanding random events and the likelihood of their occurrence. However, probability is not specifically an art form, but rather a branch of mathematics that is concerned with the study of chance and uncertainty.

Correct Option: A
Explanation: Null Hypothesis.

Correct Option:
Explanation: The expected value is calculated by multiplying each of the possible outcomes in the sample space with the likelihood of their occurrence, and then summing up all the values. It is a measure of the central tendency of a random variable, and represents the average value that we can expect to observe if we repeat the experiment many times.

Correct Option: B
Explanation: True

Correct Option: A
Explanation: The correct answer is "Random Variable". A random variable is a variable that takes on numerical values that are determined by the outcome of a statistical experiment. In other words, a random variable is a numerical representation of the outcomes of a random process. Random variables can be discrete or continuous, depending on whether they take on a countable or uncountable number of values, respectively. They are a fundamental concept in probability theory and statistics and are used to model a wide range of phenomena in many fields, including economics, engineering, and biology.

Correct Option: C
Explanation: non-mutually exclusive event.