A six-sided die was rolled. Find the probability that a 1 came up, given that an even number turned up. STEP 1: Let T be the event in which a 1 turns up and Q be the event in which an even number turns up. Choose the correct formula. O P(QIT) = P(T) P(T N Q) P(T N Q) P(T) O P(T|Q) = P(T N Q) P(Q) O P(T|Q) = P(T N Q) P(Q) O P(QIT) = P(TN Q) P(T) O P(QIT) = STEP 2: Give the probability given by this formula. P(T|Q) STEP 3: Simplify this probability.

Q: A 6-sided die rolled twice. Let E be the event "the first roll is a 6" and F the event "the second…

A: Given A 6-sided die rolled twice. Let E be the event "the first roll is a 6" F the event "the second…

Q: Defective components: A lot of 9 components contains 4 that are defective. Two components are drawn…

A:

Q: A B C TOTAL MALE 7 10 19 36 FEMALE 20 4 14 38 TOTAL 27 14 33 74   If one student was chosen at…

A:

Q: Two dice are rolled. Each comes up with a number between 1 and 6. Let A be the event that the number…

A: Two dice are rolled.Sample space S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (2,1) (2,2) (2,3) (2,4)…

Q: What is the probability of rolling one six sided die and obtaining a 1 and a 2 in consecutive rolls?

A: The sample space for rolling a one six sided die is S = { 1, 2, 3, 4, 5, 6 }.

Q: In a digital transmission system, bits of 0's and 1's are transmitted sequentially through a cable.…

A: Given that  n=10 , p=20%=0.20 , q=1-p=1-0.20=0.80 X~Binomial(n=10,p=0.20) p=Probability of the bits…

Q: Inside the box of every cereal box contains a surprise gift. The store manager assures employees…

A: To find the probability that both selected cereal boxes contain the secret decoder ring, we can use…

Q: Suppose 5 men out of 100 men and 10 women out of 250 women are colour blind, then find the total…

A:

Q: Let A, B be independent events with P (A) = P (B) = 1/3. Find the probability that exactly one of…

A: Probability value is calculated by dividing the number of possible observations involve in the event…

Q: Assume the following informaon. The height of adult women in the city of Boston can be characterized…

A: 1. Let X denote the height of a randomly selected woman from City B. It is given than X has a normal…

Q: Research has shown that approximately 1 woman in 700 cames a mutation of a particular gene. About…

A: Given: Research has shown that approximately 1 woman in 700 carries a mutation of a particular gene.…

Q: The population mean annual salary for environmental compliance specialists is about ​$60,500. A…

A: From the provided information, Mean (µ) = 60500 Standard deviation (σ) = 5500 Sample size (n) = 39

Q: The probability that a physician is a pediatrician is 0.19. The administration selects two…

A: Given that  n = 2 , p = 0.19 , q = 1 - p = 1 - 0.19 = 0.81 X ~ Binomial ( n = 2 , p = 0.19 ) X =…

Q: Let A = the event of HIV positive, P(A) = 0.05, and 100 individuals are selected for the test. What…

A:

Q: Approximately 97.15%

A: Assume that the probability of having a cold at a given moment is in the population is 20%.…

Q: When Paul plays pen and paper game against his favorite computer program, he wins with probability…

A: We have to find given probability.......

Q: (b)Find the probability that exactly 8  of the flights were on time.     The probability that…

A: In the original question it is given that , At Denver International Airport, 81% of recent flights…

Q: Suppose we are about to roll an ordinary six-sided die once and observe the number on the top face.…

A: The question is about probability.Given :Experiment : Rolling a six sided die.The events are as…

Q: Given P(A) = 0.031, find the probability of the complementary event. 0.969 O 0.992 0.946 None of…

A: Given that,P(A) = 0.031

Q: Assume that the probability of a being left handed or right handed are equal. A couple has four…

A: L = left , R = Right

Q: Suppose that you roll a 6-sided die.  Let A be the event that the die shows an even number, and let…

A: On rolling a 6-sided die, the total possible outcomes are {1,2,3,4,5,6}

Q: Find the conditional probability of the given event when two fair dice (one red and one green) are…

A: It is given that the two fair dice ( one red and one green ) rolled. First number shows the red one…

Q: There are five containers on a table. If three balls are to be placed in those containers, assuming…

A: Given information Total 5 containers on the table 3 balls are to be placed in those containers

Q: If the P(A)=0.62,P(B)=0.25 and A and B are mutually exclusive, then the probability of neither A nor…

A:

Q: Suppose that 80% of American homes have a microwave oven. Let X be the number of American homes in a…

A: Number of observation= n = 20  Probability of success= p = 80%=0.80  So, X follows a binomial…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.