An experiment consists of 5 elementary outcomes, with the following probabilities: e | Pr(e) e1 | 0.1 e2 | 0.1e3 | 0.2e4 | 0.3e5 | 0.3 If E = {e1,e2,e3} and F = {e2,e3,e4}, then Pr(E and F) isa. .50 b. .70 c. .67 d. .30

Q: Suppose that 75% of science students, 45% of business students, and 45% of humanities students pass…

A: Let  M=A student pass a mathematics course          S=science student           b=business…

Q: Given P(A) = 0.3 , P(B|A1) = 0.5, and P(B|A2) = 0.8 , what is the probability of P(A2|B1) ? %3D

A: P(B1/A2)= P(B1 n A2)/P(A2)= 0.8 So P(B1 n A2)= 0.8*P(A2) We've to find, P(A2/B1) = P(A2 n B1)/P(B1)…

Q: 47. Suppose A and B are two events with P(A) = 0.36, P(B) = 0.48, and the P(A or B) = 0.60. (a) Find…

A:

Q: Let two events E and F with the following probabilities P(E)=0.25, P(F) = 0.4 and P(E│F)= 0.5. Find…

A: P(E)=0.25, P(F) = 0.4  P(E│F)= 0.5 P(E│F)= P(E∩F)P(F) 0.5 = P(E∩F)0.4 P(E∩F)=0.4×0.5 = 0.2

Q: Two events A and B have the following probabilities: P (A) = 1/2, P (B)= 3/8, and P(ΑB) - 1/4. Find…

A: For the first question option(C) nominal is correct answer because Nominal data :- It is a…

Q: Q. 2 A car dealer notes the following probabilities about his customers: P(those who buy a new car)…

A:

Q: The P(A) = ?  5/11.    P(not A) =?    6/11 Odds in favor of A are?

A: Given that P(A)=5/11, P(not A)=6/11

Q: lan has a 10% chance of getting a speeding ticket if he woke up early and a 35% chance of getting a…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: Two events A and B have the following probabilities: P (A) = 1/2, P (B)= 3/8, and P (A N B) = 1/4.…

A: For events A and B, it is given that, P(A) = 1/2, P(B) = 3/8, and P(A ∩ B) = 1/4.

Q: Complete the following table and use it calculate the probabilities given below.   B Bc Total A…

A: Method : P(Ac) = 1- P(A)

Q: Q. 2 A car dealer notes the following probabilities about his customers: P(those who buy a new car)…

A: Let us denote the event  A: Those who buy a new car. B: Those who buy a European car. Given,…

Q: A survey showed the following probabilities of having X number of dogs per household X = number of…

A:

Q: Suppose P(B) = 0.4, P(D) = 0.6, and P(BND) = 0.2. Find the probabilities below. a. P (DC) b. P (BC)…

A:

Q: Given two events the probabilities of each occurring are as follows: P(G) = 0.26; P(H) = 0.35; P(H…

A: Given data, P(G) = 0.26; P(H) = 0.35; P(H AND G) =0.11  P(H OR G)=?

Q: Q.4. A student when asked about her order preference at the University Cafeteria she said 55% of the…

A: Solution : Given : Probability that she orders Grilled Burger = 0.55            Probability that she…

Q: A manufacturing company is faced with the problems of choosing four products to manufacture. The…

A: Given Products   Probabilities     Good satisfactory poor A 0.60 0.20 0.20 B 0.75…

Q: A decision-maker has subjectively assigned the following probabilities to the four outcomes:…

A: We know that, ∑p = 1 P(A) + P(B) + P(C) + P(D) = 0.25 + 0.15 + 0.35 +0.3 = 1.05

Q: An experiment with three outcomes has been repeated 50 times, and it was learned that E1 occurred 20…

A: The probability of an event is a measure of the likelihood that the event will occur. Probability…

Q: First, ve need to test whether the two events are independent. Use X to denote the event described…

A: Given  8% of the population gave up doing laundry. PG=0.08

Q: If events C and D are mutually exclusive, then P(C and D) = A. 1 B. 0 C. .50 D. the sum of the…

A: Given data is The events C and D are mutually exclusive

Q: If A and B are independent, with P (A) = 0.6, and P (B) = 0.4, calculate the following…

A: Here it is given that A and B are independent events with P(A)=0.6 and P(B)=0.4.

Q: : Ahmed is taking Mathematics and Seology. His probabilities for getting grade f 90 (consider A =…

A: Solution: Given information: P(Grade of A in mathematics class ) =0.70P( Grade of A in Geology class…

Q: regional automobile dealership sent out fliers to prospective customers indicating that they had…

A:

Q: e. 77 78 79 0.20 80 81 0.10 P(X) 0.15 0.15 0.40 Find the following probabilities: a. P(80) b.…

A:

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: Given two events G and H, the probabilities of each occurring are as follows: P(G) = 0.5; P(H) =…

A: Given,P(G)=0.5P(H)=0.31P(H AND G)=0.09

Q: hwm7 7 Use the following probabilities to answer the question. P(A) =0.6, P(B)=0.35 AND…

A: Step 1: State the given: Probability of A, P(A) = 0.6Probability of B, P(B) = 0.35Probability of A…

Q: Given two events G and H, the probabilities of each occurring are as follows: P(G) = 0.35; P(H) =…

A: GivenP(G)=0.35P(H)=0.9P(H and G) = 0.1

Q: Suppose a sitcom is filmed on set between zero and five days per week. The following table shows the…

A: Solution : The complete solution is given below in the attachment file.

Q: D. P (Orange even)= E. P (Orange and odd)= F. P (Red or odd)=

A: Due to the honor-code, we are only supposed to answer 3 sub-parts, and that you haven't specified…

Addition Rule of Probability

It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.

Expected Value

When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).

Probability Distributions

Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.

Basic Probability

The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.