We roll a fair die repeatedly. Let X denote the number of rolls needed until seeing the first 6, and Y the number of rolls needed to see the second 6 (counted from the first roll). Find the probability of P=(Y=2X+a) where a=3.

Q: The table summarizes results from 988 pedestrian deaths that were caused by automobile accidents.…

A: The given table provides the results of 988 pedestrian deaths for several reasons.

Q: In a fundraising event, 100 raffle tickets are sold, with 10 of them being winning tickets. If you…

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Q: Ethan needs an even number on his next two rolls using the number cube to win the game he is…

A: Given: Number of sides = 6 Number of even side numbered = 3 (2,4,6)

Q: When 3 dice are rolled, find the probability of getting a sum of 8. Enter your answer as a fraction…

A: Given3 dice are rolled

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

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Q: Corey buys a bag of cookies that contains 4 chocolate chip cookies, 9 peanut butter cookies, 4 sugar…

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Q: Lloyd buys a bag of cookies that contains 7 chocolate chip cookies, 5 peanut butter cookies, 5 sugar…

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Q: Find the probability of selecting someone who uses drugs. Round to 3 decimal places

A: Positive test resultsNegative test resultsSubjects uses drugs455Subjects does not uses drugs25480

Q: Chesed cheats at D&D by using a weighted 20-sided die. He knows from experience that it has a 10%…

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Q: A box contains 4 black balls and 6 white balls and 2 green. If 3 balls are drawn without…

A: GivenA box containsNo.of black balls=4No.of white balls=6No.of green balls=2Total no.of balls=12

Q: You roll a six-sided die. Find the probability of rolling: a 5 or a number greater than 3 a number…

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Q: 8% of Dr. Williams patients end up with 20-30% vision or better. Find the probability that exactly 4…

A: Let the give data be probability of patients getting well = 0.98 The number of patients. n = 4

Q: In a recent semester at a local university, 600 students enrolled in both statistics I and…

A: In a recent semester at a local university, 600 students enrolled in both statistics I and…

Q: Jan has a bag of 12 marbles, consisting of 4 red marbles and 8 blue marbles. If Jan randomly…

A: Given information: Total number of marbles in a bag=12. Number of red marbles in the bag= 4. Number…

Q: Alex makes 20% of his hockey goals that he attempts.  For a practice, he likes to shoot goals at the…

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Q: The probability that it will rain in a city is 0.1. Find the probability that it will rain on two…

A: Given that the probability that it will rain in a city is 0.1. Two consecutive days are independent…

Q: A baseball player has a batting average of .18. What is the probability that he has exactly 6 hits…

A: Given that, A baseball player has a batting average of 0.18. Probability, p = 0.18 Sample size = 7

Q: The data represent the results for a test for a certain disease. Assume one individual from the…

A: We have to find given probability.

Q: Find the probability of selecting three different orders from Pinky Pie’s Café. Round to four…

A: From the table total number of order is, 329+33+264+54+249+31+145+13=1118 total number of order from…

Q: For the experiment of rolling an ordinary pair of​ dice, find the probability that the sum will be…

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Q: You are going to play mini golf. A ball machine that contains 24 green golf balls, 23 red golf…

A: Obtain the probability that you end up with a yellow golf ball.   The probability that you end up…

Q: As students were exiting the student center on campus, Vicki took note whether they were listening…

A: The objective of this question is to find the probability that a randomly selected student will have…

Q: Jared buys a bag of cookies that contains 9 chocolate chip cookies, 5 peanut butter cookies, 8 sugar…

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Q: The probability of obtaining a raw chicken sandwich at Windies restaurant is 10.4%. Complete the…

A: The probability of obtaining a raw chicken sandwich at Windies restaurant is 10.4%   that is the…

Q: 3. Now, take your die and roll it 30 times. Create a table below to document each roll of the die.…

A: Given the experiment of rolling a die 30 times.

Q: Find the probability that Stephanie randomly selects a sugar cookie from the bag, eats it, then…

A: Given that Number of sugar cookies = 7 Number of raisin cookies = 6 Total number of cookies =…

Q: Ahmad rolled two dice and observed two numbers X and Y a. Find P (X=2, Y=6) b. Find P(X>3|Y=2).

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Q: The probability that a salmon swims successfully through a dam is 0.85. Find the probability that…

A: From the provided information, Probability that a salmon swims successfully through a dam is 0.85.…

Q: Mark is deciding which route to take to work. His choices are I = the Interstate and F = Fifth…

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Q: When manufacturing fabric, the mean number of imperfections per yard of fabric is 0.12. Find the…

A: Given information- We have given the problem of Poisson distribution. Mean no. of imperfections per…