If P(x)=0, this means that A. The event X might occur. B. The event X will occur C. The event X will never occur

Q: Prob-3 Pressurized air are being used in a manufacturing company in its daily operation. There are…

A: The events A and B are given as- A : Reciprocal compressor (R) is always off. B: At least one of the…

Q: Events A and B are mutually exclusive with P(A) = 0.35 and P(B) = 0.25. Then, P(B) = P(Bº) = (Enter…

A: GivenA and B are mutually exclusiveP(A)=0.35P(B)=0.25

Q: 2. Let A and B be events with P(A) = 0.5 and P(AnB") = 0.4. For what value of P(B) will A and B be…

A:

Q: 4. Show that an event A is independent of itself iff P(A) is either 0 or 1.

A: Proof: PA=PA∩A=PAPA  Since A is independent itself.⇒PA1-PA=0PA=1  Since P(A)>0

Q: A box contains 20 balls, of which 10 are red and 10 are blue. We draw ten balls from the box, and we…

A: Given: Total number of balls = 20 Number of red balls = 10 Number of blue balls = 10

Q: Q5. A box contains 20 balls, of which 10 are red and 10 are blue. We draw ten balls from the box,…

A: 10 red10 blue20 totalselect 10 ballswe want to find probability that exactly5 are red and 5 are blue…

Q: Consider a six-sided fair die and roll it once. Let Ri denote the event that the roll is i. Let Lj…

A: On rolling a fair die, there are six possible outcomes that occur with the same probability, i.e.…

Q: events A and B are mutually exclusive, then P(A) + P(B) = 0. True or false?

A: Given that  If two event A and B are mutually exclusive.

Q: Suppose that C and D are events such that P(C) = 4/5 and P(C&D) = 3/10. Find P(D| C).

A: The formula for conditional probability is,

Q: 2 The behaviour of a certain stock market index is considered over the next (n+1) consecutive…

A: a. Define N as the random variable representing the number of days among the next n days, on which,…

Q: (a) Compute the probability that B occurs but A does not occur. 0 (b) Compute the probability that…

A: Given that,The two events are mutually exclusive. To find the following probabilities.

Q: Q1: If the event A is independent with itself, then P(A) is

A: The statement is the event A is independent itself.

Q: Which of the following is NOT true:

A: Here given different sentences for probability .

Q: An event A will occur with a probability of 0.7. An event B will occur with a probability of 0.2.…

A:

Q: For any two events A and B and P(B)÷ 1 and A N B = Ø, find weather the following statement is true…

A: GivenTw events A and B P(B) ≠1A∩B = ϕ So A and B are mutually exclusive events, So P(A∩B)=0. The…

Q: According to Jane, two particular events happened at the same time. T/F: According to Penny, these…

A: 3. To check whether the information is true or not.

Q: Events A and event B are mutually exclusive, P(A)=0.5 and P(B)=0.3 Calculate the following,…

A: Answer: From the given data, P(A) = 0.5 P(B) = 0.3 Events A and B are mutually exclusive,

Q: which of the following defines the concept of events A and B being mutually exclusive? A. the events…

A: Two events are said to be mutually exclusive if they cannot occur at the same time. Here, A and B…

Q: Which of the following statements is FALSE? Select one: If events A, B and Care independent, then A…

A: Option  b and  Option c is false. Because from the option b is given that the symbol is less than…

Q: Eight balls numbered from 1 to 8 are placed into a bag. Some are grey and some are white. The balls…

A: Introduction: Total number of balls in the bag = 8. Number of grey balls = 3. Number of white balls…

Q: A college finds that 58% of students have taken a distance learning class and that 68% of students…

A: Given that, 58% of students have taken a distance learning class 68% of students are part time…

Q: Choose any of the following situations. A. Describe a situation in which an event has 4 x 3 x 2 x 1…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 6. The prosecutor's fallacy. Let G be the event that some accused person is guilty, and 7 the event…

A: We have to show that the P(G|T)=P(T|G) iff P(G)=P(T)

Q: A student stays at home. Let event N = the student watches Netflix. Let event Y = the student…

A:

Q: A box contains 20 balls, of which 10 are red and 10 are blue. We draw ten balls from the box, and…

A:

Q: Η 0.1 0.4 11 0.25 C

A: The given Venn diagram is

Q: Let A and B be two events such that 0 < P(A) < 1. If P(B|A) = P(B|Ac), prove mathematically (not…

A: Given that A and B be two events such that 0 &lt; P(A) &lt; 1. If P(B|A) = P(B|Ac), We have to prove…

Q: When A and B are any two events such that P(A) = 0.55, P(B) = 0.41 and P(AUB) = 0.4 then P(AN B) =…

A: We have to find given probability.

Q: In how many ways can 7 women and 7 men partner up for ballroom dancing, if each person has to dance…

A: The number of ways to select r objects from n objects is computed by using the formula of…

Q: Decide whether the following pairs of events are dependent or independent E is the event that a…

A: Given: E is the event that a resident of Texas lives in Dallas, and F is the event that a resident…

Q: Which of the following statements is not true: a. if the probability of an event occurring is 0,…

A: Properties of probability: The probability value lies between 0 and 1 (inclusive). That is 0 ≤ P(x)…

Q: Suppose that E and F are two events and that P(E)=0.8 and P(F|E)=0.5. What is P(E and F)​?

A: Given data,  P(E)=0.8  P(F|E)=0.5 P(E and F)​=?

Q: 6. Imagine that a zealous prosecutor (P) has accused a defendant (D) of com- mitting a crime.…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.