A (normal) dice is thrown n times. Let A = "get at least one 6" and let B = "1 never appears". Calculate P(A | B). Are A and B independent?

Q: Find the probability of selecting 3 science books and 4 math books from 9 science books and 13 math…

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Q: The probability that a spark plug is defective is 35%. Suppose that a person buys 7 spark plugs.…

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Q: The probability that a bottle will have wieght 593g or less is?

A: Let X denote the bottle weights. Given that X follows N(mean = 600, SD = 6), then Z = (X - mean)/Sd…

Q: A shooter has 4 bullets. He shoots at the target until he hits it for the first time . And stop…

A: Given that, a shooter has 4 bullets. He shoots at the target until he hits it for the first time and…

Q: A fruit bowl contains 4 green apples and 7 red apples. What is the probability that a randomly…

A: Given: Fruit bowl contain 4 green and 7 red apples.

Q: the sum of numbers on the two dice. Find Var(X). pd p ssoi '7

A: V(X)=E(X2)-[E(X)]2 Sample space=S S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1) (2,2) (2,3) (2,4)…

Q: Refer to the table below. Of the 36 possible outcomes, determine the number for which the sum (for…

A: Given To find of the possible outcome of 36, determine the number for which the sum is prime. The…

Q: L6Q1. What is the probability of choosing a yellow ball and a green ball from the box with…

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Q: EXERCISE 0.3. Roll three dice. Let A = 'the numbers on the first and second add to 7', B = 'the…

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Q: Suppose you roll a red number cube and a yellow number cube. Find P(red 2, yellow 2) and the…

A: There are two cubes, with red colour and yellow colour.

Q: Find the probability that a 6 appears at least twice when 12 dice are rolled.

A: In question, 12 dice are rolled. Then we'll find the probability that 6 appears at least twice. The…

Q: You are to randomly pick one disk from a bag that contains the disks shown below. Find P(face|pink),…

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Q: cording to a recent survey, the probability that the driver in a fatal vehicle accident is female…

A: GIVEN DATA event A  : river 24 years old or lessevent F : driver in a fatal accident is femaleP(F) =…

Q: Find the probability that the day of the week begins with a T or a W

A: We know, number of days in a week = 7 set of days in a week = {Monday, Tuesday, Wednesday, Thursday,…

Q: Mildred rolls the dice 300 times. Approximately how many times it will be

A: Given information: Total no. of rolls=300favourable outcomes={3,4,5,6}

Q: Find the probability that x falls in the shaded area. HO 2 3 4 5 6 7 8 9 10 X

A: Given diagram,We have to find the Probability that X falls in the shaded area .

Q: Two dice are rolled. Find the probability of each of the following (Round answers to three decimal…

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Q: A drawer contains only green marbles . After 5 red marbles are added to the drawer,the probability…

A: Suppose, A drawer contained X green marbles originally. Now, 5 red marbles are added.   Number of…

Q: There is a survey having only 2 options(yes/no).The survey has 7 questions and the person answering…

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Q: The random variable is the product of the first red & blue dice minus the green die. You roll three…

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Q: Roll 12 dice simultaneously, and let X denote the number of 6's that appear. Find the probability of…

A: Let X be a random variable denotes the number of 6's. Here, X~Bin12,16. Calculate the probability of…

Q: l7Q15. A box contains 3 red, 4 black, and 7 green balls. If three balls are drawn one after the…

A: Given,no.of red balls=3no.of black balls=4no.of green balls=7Total no.of balls=14

Q: The random variable is three times the number of 1's facing on the dice. You roll three colored…

A: It is given that the random variable is three times the number of 1's facing on the dice.

Q: Q1 find the standrd devaiton of A  ,B and C  where  A  is the resulto of rolling  a 4 sided dice .…

A: Solution :  Let, A : Result of rolling 4 sided dice. A 1 2 3 4 P(A) 0.25 0.25 0.25 0.25 Now,…

Q: ia has five numbered cards. One of these cards is chosen at random. Mia says: The probability of an…

A: Sample space: {1A, 1B, 1C, 2A, 2B, 2C, 3A, 3B, 3C} As we know that the sample space consists of all…

Q: ACTIVITY 3 b. P(x28) P(Xz3) = P(x=3)+ PCX)= a) + P(X=10)1 P(X=11) * PC* + 12), +就t宽+或+元 P(x) %3D 2.…

A: Solution :  Given : Probability distribution of random variable x. d) Probability that x takes an…

Q: 7 The probability that a bachelor's degree recipient in 2014 majored in biology is 20 Find the odds…

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Q: Two dice are rolled one after the other. Find the probability that the sum of the dots on the dice…

A: It is given that two dice are thrown one after the other.We have to obtain the probability that the…

Q: L7Q2. Find the probability of getting a tail when we toss a coin. A.1/4 B. 1/2 C. 3/4 D. All of the…

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Q: Find the probability that z is greater than -1.72

A: Given: Z is standard normal r.v. i.e. Z~N(0,1)

Q: box contains 3 red, 4 green, and 3 yellow balls. If a ball is drawn at random, find the probability…

A: 3 red 4 green 3 yellow 10 total balls

Q: A child randomly selects 3 gumballs from a container holding 4 purple gumballs, 7 yellow gumballs, 5…

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Q: Ex: You throw darts at a board until you hit the center area. Your Probability of hitting the center…

A: You throw darts at a board until you hit the center area. Your probability of hitting the center…

Q: When rolling two fair six-sided dice, getting a pair of 1s is called “snake eyes.” The probability…

A: Binomial distribution is given by