Which of the following is NOT a rule of probability for an event A. P(A) = 1- P(ACG) O ● P(A) = 1 means that A occurs with 100% certainty P(A) can be any value greater than or equal to zero

Q: E and F are mutually exclusive events. P(E) = 0.1; P(F) = 0.6. Find P(E | F).

A:

Q: Events A and B are mutually exclusive with PA equal to 0.362 and PA or B equal to 0.685 Find the…

A: A and B are mutually exclusive if

Q: Which of the following is NOT a rule of probability for an event A. 0< P(A)<1 P(A) = 1…

A: For a event to be a probability measure it have to follow certain rules such as, probability of…

Q: Given X and Y are independent events respectively. P (X) = 0.65, P (Y) = 0.15. Event Z refers to the…

A: Dear students as per guidelines we solve only first three subparts only.

Q: The probability of event A, given that event B has occurred, can be found using Bayes's Theorem.

A: Bayes's Theorem is the theorem by which we get the conditional probability of an event. According to…

Q: x P(x) 0 0.186 1 0.417 2 0.242 3 0.131 4 0.021 5 0.003 a. Find the probability of getting exactly 4…

A: We have to choose ckrrect options.

Q: Using historical records, the personnel manager of a plant has determined the probability of X, the…

A: Step 1:Given : Step 2:A.P(2≤x≤5)=P(x=2)+P(x=3)+P(x=4)+P(x=5)        =0.309+0.3398+0.2199+0.0796…

Q: Let E be the event that a new car requires engine work under warranty and let T be the event that…

A: Probability of car requires engine work under warranty =P(E)=0.05 Probability of car requires…

Q: Suppose that 20,000 married adults in a country were randomly surveyed as to the number of children…

A: We have given that  20,000 married adults in a country were randomly surveyed as to the number of…

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 &gt;=3 or z =-1 ) = ? P ( z &gt;=3 ) +P(  z =-1 ) = P( z = 3 ) + P( Z…

Q: Suppose that 20,000 married adults in a country were randomly surveyed as to the number of children…

A: Let X be the random variable having probability mass function then we will find the expected value…

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: Consider events and with 'P(A) = 0.2 P(B) = 0.5 and P(AN B) = 0.1. Calculate the conditional A B…

A: We want to find value of p(A/B)

Q: We are asked to find the probability of event A occurring given that event B occurs. This is…

A: By conditional probability theorem, the probability of event A occurs, provided that the event B has…

Q: Spaceman Spiff’s spacecraft has a warning light that is supposed to switch on when the freem…

A: Given that, P(F) = 0.1 P(Fc) =1-0.1=0.9 P(W| F)=0.99 P(W| Fc)=0.02 i) The probability that…

Q: Translate the following statements using probability notation. Use X as the random variable. The…

A: Translate the statements using probability notation.

Q: What is o ? XY

A: Suppose you have the following joint probability of a stock and a bond having a positive or negative…

Q: The probability of event A, given that event B has occurred, can be found using Ba P(A) P(BIA)…

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

Q: A candy company claims that 31% of the candies are orange. We randomly sample 100 candies. We wish…

A: It is given that Population proportion, p = 31% = 0.31Sample proportion, p^=0.29Sample size, n = 100

Q: Using historical records, the personnel manager of a plant has determined the probability of X, the…

A: We want to find  (a) P(2≤X≤5)= ?  (b) P(X&gt;5)=?  (c) P(X&lt;4)= ?

Q: f n = 5 and p = 0.40, what is the probability that: (a) X = 4?                            (b) X ≤…

A: Let X be the random variable from binomial distribution with probability (p) = 0.40 and sample size…

Q: Р(А) %3D 0.35 Р(А and B) %3D 0.14Р(ВA) 3 ? Р(А and B) %3D 0.08 Р(BA) 3D 0.4 Р(A) %3D ? -1- Р(A and…

A: We know that  P( A/B) = P( A ∩ B)/ P( B) And P( A and B )  = P ( A ∩ B )

Q: The random variable X has the following probability distribution. X -1 4 7 8 (b) P(X ≥ 1) P(x) (c)…

A: Answer:From the given data,XP(X)-10.440.1570.2580.2Total1.00

Q: From past experience a stockbroker believes that under present economic conditions a customer will…

A: From the given information we have to find the Probabilities .using formula,

Q: None

A:

Q: Let y denote the number of broken eggs in a randomly selected carton of one dozen eggs. Suppose that…

A:

Q: P(A) • P(B| A) P(A) • P(B| A) + P (A') •P(B| A') P(A| B) = e Bayes's Theorem to find P(A| B) using…

A: To determine ,  P(A|B) = P(A)×P(B|A)P(A)×P(B|A) +P(A')×P(B|A') Given, P(A) = 0.25 P(A') = 0.75…

Q: According to Bayes' Theorem, the probability of event A, given that event B has occurred, is as…

A: Given that P(A)=5/6, P(A')=1/6

Q: Leo is a very average golfer. The probability that he hits a bad shot at any time is 0.4,…

A: Given that p =0.4 , n=5,k=1

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