Use the given information to find the indicated probability. P(A) = 0.1, P(B) = 0.8, P(A n B) = 0.05. Find P(A U B). P(A U B) =

Q: Find the probability​ P(E or​ F) if E and F are mutually​ exclusive, ​P(E)=0.34​, and ​P(F)=0.47.

A:

Q: P(A u B) = 0.4 and P(A n B) = 0.2. Find P(A) + P(B).

A: Given Data: The probability of the union of set A and B is: PA∪B=0.4 The probability of the…

Q: Find the probability​ P(E or​ F) if E and F are mutually​ exclusive, ​P(E)=0.41​, and ​P(F)=0.51.…

A: Given that,P(E) = 0.41P(F) = 0.51E and F are mutually exclusive events.

Q: Use the given information to find the indicated probability. A n B = Ø, P(A) = 0.7, P(A U B) = 0.9.…

A:

Q: Use the given information to find the indicated probability. P(A) = 0.1, P(B) = 0.9, P(A ∩ B) =…

A: The solution is:

Q: Using the Poisson formula or table, find each probability P(X;2). Express your answers up to 4…

A: Note:- "Since you have posted a question with multiple sub parts, we will provide the solution only…

Q: The plot to the right shows the probability function of a random variable Z. Estimate the needed…

A: For the given plot Find P ( z >=3 or z =-1 ) = ? P ( z >=3 ) +P(  z =-1 ) = P( z = 3 ) + P( Z…

Q: Find the probability P(1.34 < Z < 2.66).

A: We have to find probability P(1.34 &lt; Z &lt; 2.66).

Q: A die is weighted in such a way that each of 5 and 6 is eight times as likely to come up as each of…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Use the given information to find the indicated probability. An B = Ø, P(B) = 0.6, P(A U B) = 0.6.…

A: Given that

Q: Find the probability that the first traffic light is green given that the second traffic light is…

A: It is given that:P(A)=0.55;P(Ac)=0.45;P(B|A)=0.75P(B|Ac)=0.09;P(B)=0.453The objective is to find the…

Q: Use the given information to find the indicated probability. P(A) = 0.1, P(B) = 0.9, P(A n B) =…

A:

Q: The random variable x has the discrete probability distribution shown below. Find P(x ≤ 0).…

A:

Q: Find the probability​ P(E or​ F) if E and F are mutually​ exclusive, ​P(E)=0.54, and ​P(F)=0.29.

A: GivenE and F are mutually exclusiveP(E)=0.54P(F)=0.29

Q: Use the given information to find the indicated probability. P(A) = 0.1, P(B) = 0.3, P(A n B) =…

A: Given Data: The probability of event A is: P(A)=0.1 The probability of even B is: P(B)=0.3 The…

Q: Use the given information to find the indicated probability. P(A U B) = 0.8, P(B) = 0.5, P(A n B) =…

A: This is a problem related to set theory. Based on the general formula we will answer the question.…

Q: Telephone calls enter a college switchboard on the average of two every three minutes. The…

A:

Q: Using the joint probability table below, determine P(X = 1, Y = 7). Amin Y 3 -10 1 0.05 0.15 0.05…

A: x=-1 x=0 x=1 total y=3 0.05 0.15 0.05 0.25 y=5 0 0.3 0.15 0.45 y=7 0.1 0.05 0.15 0.30…

Q: Find the probability​ P(E or​ F) if E and F are mutually​ exclusive, ​P(E)=0.34​, and P(F)=0.51. The…

A: Solution: Given information: IF E and F are mutually exclusive events then P( E∩F)=0 P( E)= 0.34  P(…

Q: Use the given information to find the indicated probability. A, B, and C are mutually exclusive.…

A: Given that,P(A)=0.2P(B)=0.3P(C)=0.3

Q: Just choose the correct answer Answer B

A: Q3 B: Given: Probability of rain falling on any day in November=0.20 The probability of rain fall in…

Q: Use the given information to find the indicated probability. P(A ∪ B) = 0.4 and P(A ∩ B) = 0.2. Find…

A: P(A  B)=0.4P(A B)=0.2

Q: Use the given information to find the indicated probability. A, B, and C are mutually exclusive.…

A: Disjoint events:   Let A, B and C be any three events, if the events A, B and C are mutually…

Q: Use the given information to find the indicated probability. An B = Ø, P(A) = 0.2, P(A u B) = 0.7.…

A: AnB is empty therefore p(AnB)=0.

Q: Use the given information to find the indicated probability. P(A) = 0.1, P(B) = 0.2, P(A ∩ B) =…

A: Given data, P(A) = 0.1,  P(B) = 0.2,  P(A ∩ B) = 0.05 P(A ∪ B)=?

Q: Find the probability P(E or F) if E and F are mutually exclusive, P(E) = 0.25, and P(F0.45. The…

A: Two events say E and F are said to mutually exclusive if there exists not a single outcome that is…

Q: Find the probability of the indicated event if P(E)= 0.25 and P(F) = 0.35. Find P(E or F) if P(E and…

A: Addition rule will applied here

Q: Find the probability​ P(E or​ F) if E and F are mutually​ exclusive, ​P(E)=0.41​, and ​P(F)=0.47.…

A: According to the given information, we have Event E and F are mutually exclusive, P(E) = 0.41 P(F) =…

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!