need the answers for this question, please? A construction firm bids on two different contracts. Let E1 be the event that the bid on the first contract is successful, and define E2 analogously for the second contract. Suppose that P(E1) = 0.8 and P(E2) = 0.3 and that E1 and E2 are independent events. (a) Calculate the probability that both bids are successful (the probability of the event E1 and E2).   (b) Calculate the probability that neither bid is successful (the probability of the event

Q: A letter posted second-class on a Monday has the following probabilities of arriving on Tuesday to…

A: Let's approach this step by step:1) For the first-class letter, the probabilities are as follows:…

Q: Suppose A and B are two disjoint events. Further, P(A) = 0.49, and P(B) = 0.51. The P(A|B) = 0.51 0…

A: The objective of the question is to find the conditional probability of event A given that event B…

Q: Given P(A and B) = 0.42, P(A) = 0.92, and P(B) = 0.05 are events A and B independent or dependent?

A:

Q: If A and B are any two events with P(A) =.8 and P(B|A) = 0.4, then the probability of A and B is?

A:

Q: A construction firm bids on two different contracts. Let E1 be the event that the bid on the first…

A: If E1  and E2 are independent then, P(E1 n E2) = P(E1)*P(E2) = 0.7*0.8 = 0.56

Q: A and B are independent events. If Pr(A intersect B)= 0.32 and Pr[A]= 0.4 what is Pr [B]?

A: Given Data: The probability of A intersect B is: PrA∩B=0.32 The probability of A is: PrA=0.4 Event A…

Q: Suppose events A and B are independent and P(A) = = 1 P(B) = 4 Find the probability. (Enter the…

A:

Q: A construction company has contacted a supplier for the delivery of sand, gravel and cement to a…

A: GivenP(sand will be delivered on time)=0.6P(gravel will be delivered on time)=0.8P(cement will be…

Q: Suppose that P(A) - 0.3 and P(B) = 0.6. If events A and B are mutually exclusive, find the following…

A: Mutually exclusive events [MEE]:

Q: A and Bare independent events. P(A) = 0.50 and P(B) = 0.20. %3D What is P(A and B)? O A. 0 B. 0.10…

A: We have given that,  A and B are two independent events with P(A)=0.50 and P(B)=0.20 Then,  We will…

Q: For events A, B, and C, we have the following probabilities: P(A) 0.7, P(B) = 0.5, P(C) = 0.3, P(A…

A:

Q: If A and B are independent events, P(A)=0.25, and P(B)=0.85, what is P(B|A)?

A: Given that, A and B are independent events. P(A) = 0.25 P(B) = 0.85

Q: A construction firm bids on two different contracts. Let E1 be the event that the bid on the first…

A: Let E1 be the event that the bid on the first contract is successful    & E2 be the event that…

Q: If A and B are independent events, P(A)=0.18, and P(B)=0.79, what is P(B|A)

A: Given that; P(A) = 0.18 P(B) = 0.79 If A and B are independent events,

Q: A and B are independent events. P(A) = 0.50 and P(B) = 0.30. What is P(A and B)? O A. 0.015 B. 0.15…

A: Given

Q: Let A and B be two events with probabilities P(A) = 0.6, P(B) = 0.4 and P(A and B) = 0.2. (a) Find…

A: Given: P(A) = 0.6 P(B) = 0.4 P(A and B) = 0.2 Plug in all the values in the formula.

Q: Sick computers: Let V be the event that a computer contains a virus, and let W be the event that a…

A: Given that: Probability of event V is, PV=0.43. Probability of event W is, PW=0.09 Probability of…

Q: Given P(A and B) = 0.43, P(A) = 0.81, and P(B) = 0.25 are events A and B independent or dependent?

A:

Q: If A and B are independent events, P(A)=0.11, and P(B)=0.74, what is P(B|A)?

A: The given probabilities are PA=0.11,PB=0.74. The events A and B are independent.

Q: You and I play the following game: I toss a coin repeatedly. The coin is not necessarily fair and…

A: The provided information is as follows:The given coin is not necessarily fair.The probability of…

Q: GIVEN P(E) =0.35 P(F) =0.08 AND P( E AND F) =0.402…

A:

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.