If A and B are independent event then P( A and B) = P(A) - P(B) .a O %3D P(A and B) = P(A).b O P(A and B) = P(A) * P(B) .c O %3D P(A and B) = P(A) + P(B).d O %3D

Q: . (a) If for two events, A and B 1 1 and P(A/B) Then find P(B- A). 4. P(B) %3D -

A: Hello! As you have posted 4 different questions, we are answering the first question. In case you…

Q: If A and B are two events such that P(A) = 3/8 , P(B) = 5/8 and P (A or B) = 3/4. Find P(AB). Select…

A: If A and B are two events such that PA=38,PB=58  and PA or B=34. We have to find PA/BC. Formula for…

Q: A car can travel from Town A to Town C by using the four roads below. The probabilities of these…

A: Given information: A car can travel from Town A to Town C by using the four roads. Probability of H1…

Q: 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: Find the probability of the indicated events if P(E)=0.3 , P(F)=0.4 , and P(F|E)=0.3   (a) P(E∩F)…

A: GivenP(E)=0.3P(F)=0.4P(F|E)=0.3

Q: A and B are two events such that P(A) = 0.36, P(B) = 0.41, P(A or B) = 0.53 then What is P(A and…

A: Answer: From the given data, P(A) = 0.36 P(B) = 0.41 P(A or B) = 0.53

Q: For each set of probabilities, determine whether the events A and B are independent or dependent.…

A: We have to find whether events A and B are independent or dependent in each part. Concept/Formula…

Q: Prior Probabilities for A1 and A2: P(A1)=0.20, P(A2)=0.40, (A1) and (A2) are mutually exlcusive.…

A: Data given P(A1)=0.20, P(A2)=0.40, (B|A1)=0.20, P(B|A2)=0.05

Q: Match the probability with the calculator command.

A: binompdf(n,p,x)=P(X=x) binomcdf(n,p,x)=P(X≤x)

Q: A and B are two events. If P(A) =0.27, P(B) =0.30, P(A|B) =0.50 Find the P(A and B') ?

A: Answer: From the given data, P(A) = 0.27 P(B) = 0.30 P(A | B) = 0.50

Q: Classify the events as dependent or independent. Events A and B where P(A)3D0.1, P(B) = 0.2, and P(A…

A: Given data: P(A) = 0.1 P(B)= 0.2 P( A and B ) = 0.01 To find : events  are dependent or independent

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 given values in the above formula.

Q: a) Two events, A and B, are such that P(AuB) = 0.86, P(B) = 0.72 and P(A) = 0.64. Determine (i) P…

A: We calculate  probability of  given events

Q: (5). A batch of 20 flash drives contains 3 defects. If we draw random samples of size 4 without…

A: Let n be the random sample of selected drives = 4. Let M be no. of flash drives contains defects =…

Q: A and B are two events with P(B) = 0.38, P(A and B) = 0.23, P(B|A) = 0.42 Find P(A) Round to…

A: Answer: From the given data, P(A) = 0.38 P(A and B) = 0.23 P(B | A) = 0.42

Q: A and B are two events with P(A) = 0.36, P(A and B) = 0.23, P(A|B) = 0.44 Find P(B) Round to two…

A:

Q: If X and Y are independent random variable find covariance between X+Y and X-Y. Answer:

A: Given that X and Y are independent random variables. We need to find covariance between X+Y and X-Y

Q: If A and B as shown below are two dependent events, what is P(A or B)? P(A) = , P (B) = , P(A and B)…

A:

Q: U and V are mutually exclusive events. P(U) = 0.33; P(V) = 0.49. Find: a. P(U and V) = b. P(U|V) =…

A:

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: U and V are mutually exclusive events. P(U) = 0.29; P(V) = 0.49. Find: a. P(U and V) = b. P(U|V)= c.…

A: The given probabilities are PU=0.29;PV=0.49. And also events U and V are mutually exclusive events.

Q: The probabilities of two events A and B are P(A) = 0.5 and P(B) = 0.3 respectively. If P( A U B ) =…

A:

Q: U and V are mutually exclusive events. P(U)=0.15 ; P(V)=0.49 Find P(U orV) =

A: Two events U and V are said to be mutually exclusive events when both cannot occur at the same time.

Q: Determine if events A and B are independent. P(A) = 0.45 P(B) = 0.5 P(A|B) = 0.36 P(A) = 0.55 P(B) =…

A:

Q: If A and B are independent events P(A)= 0.25 and P(AuB) = 0.67 then Find P(B)

A: From the given data, A and B are independent events, P(A)=0.25 P(A∪B)=0.67

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: An assembly plant receives 50% of its tubes from supplier X, 30% from supplier Y and 20% from…

A:

Q: U and V are mutually exclusive events. P(U) = 0.16; P(V) = 0.59. Find: a. P(U and V) = b. P(U|V) =…

A: Two events U and V are given.

Q: U and V are mutually exclusive events. P(U) = 0.27 P(V) = 0.38 Part (a) P(U AND V) = Part (b) P(U |…

A: Given that U and V are mutually exclusive events. P(U) = 0.27 and P(V) = 0.38.

Q: If A and B are independent events and P(a)=0.6 and P(b)=0.3, what is P(a^c U b^c)?

A:

Q: Events A and B are independent. Find the indicated ProbabilityP(A) = 0.02P(B) = 0.27P(A and B) =

A: Given data A and B are independent P(A) = 0.02 P(B) = 0.27 P(A and B) =P(A) x P(B) =  0.02 x 0.27…

Q: Number 49 parts A and B

A: Let the event A denotes “watch the masters” And, the event B denotes “watch the British Open”. The…

Q: P(A and B) = 0.18. Find the conditional probability P(A | B)?

A: Given:  P(A) = 0.34 P(B) = 0.36 And P(A and B) = 0.18

Q: If A and B are disjoint events such that P(A) =0.30 and P(B)=0.50 then P(BNAC) %3D

A: It is given that, A and B are disjoint events i.e. P(A ∩ B) =0 We have P(A) =0.30 and P(B)=0.50

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.