Exam 4: Probability

A market research firm is investigating the appeal of three package designs.The table below gives information obtained through a sample of 200 consumers.The three package designs are labelled A, B, and C.The consumers are classified according to age and package design preference. If one of these consumers is randomly selected and is under 25, what is the probability that the person prefers design A?

Buyers of television sets are offered a choice of one of three different styles.There are 720 different outcomes if ten customers make a selection.

Given two events A and B each with a non-zero probability, if the conditional probability of A given B is zero, it implies that the events A and B are mutually exclusive.

Max Sandlin is exploring the characteristics of stock market investors.He found that sixty percent of all investors have a net worth exceeding $1,000,000; 20% of all investors use an online brokerage; and 10% of all investors a have net worth exceeding $1,000,000 and use an online brokerage.An investor is selected randomly, and E is the event "net worth exceeds $1, 000, 000," and O is the event "uses an online brokerage." P(O|E)= ___.

P(B)denotes an unconditional probability.

Given P (A)= 0.40, P (B)= 0.50, P (A $\cap$ B)= 0.15.Find P (B|A).

A market research firm is investigating the appeal of three package designs.The table below gives information obtained through a sample of 200 consumers.The three package designs are labelled A, B, and C.The consumers are classified according to age and package design preference. If one of these consumers is randomly selected and prefers design B, what is the probability that the person is 25 or older?

The method of assigning probabilities to uncertain outcomes based on laws and rules is called the classical method.

Assigning probabilities to uncertain events based on one's beliefs or intuitions is called classical method.

One event is that individuals like lasagna and the other event is that individuals like soda, the union of these two events would be the probability of _____________.

Abel Alonzo, Director of Human Resources, is exploring employee absenteeism at the Plano Power Plant.10% of all plant employees work in the finishing department; 20% of all plant employees are absent excessively; and 7% of all plant employees work in the finishing department and are absent excessively.A plant employee is selected randomly; F is the event "works in the finishing department;" and A is the event "is absent excessively." P(A $\cup$ F)= ___.

Consider the following sample space, S, and several events defined in it.S = {Albert, Betty, Abel, Jack, Patty, Meagan}, and the events are: F = {Betty, Patty, Meagan}, H = {Abel, Meagan}, and P = {Betty, Abel}.F $\cap$ H is ___.

Consider the following sample space, S, and several events defined on it.S = {Albert, Betty, Abel, Jack, Patty, Meagan}, and the events are: F = {Betty, Patty, Meagan}, H = {Abel, Meagan}, and P = {Betty, Abel}.The complement of F is ___.

Given two events, A and B, if the probability of A is 0.7, the probability of B is 0.3, and the joint probability of A and B is 0.21, then the two events are independent.

The symbol $\cup$ represents the intersection of two events.

Bayes' rule is a rule to assign probabilities under the classical method.

The table below provides summary information about the students in a class.The gender of each individual and their age is given. If a student is randomly selected from this group, what is the probability that the student is a female who is also under 20 years old?

The objective of statistics is to make inferences about a population based on information contained in a sample.

The probability that given one event has occurred that another event would occur would be an example of _________ probability.

Sampling n items from a population of size N without replacements is referred to as combinations.