A die is loaded in such a way that the probability of the face with j dots turning up is proportional to j^2 for j = 1, 2, 3, 4, 5, 6. What is the probability of rolling at most three sixes in 5 independent casts of this die?

Q: Find the exact probability that you get sum of 10 when two die are tossed

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Q: Suppose that the number of bacteria in a pond of water has an average rate of 24 bacteria per 8…

A: Given that, there are 24 bacteria per 8 mm3  This means per 1 mm3 , there are 24/8=3 bacterias.…

Q: The U.S. government has devoted considerable funding to missile defense research over the past 20…

A: (b)   Obtain the probability that SBIRS will detect the object on at least 15 tracks.   The…

Q: Gian is a teacher, as per her class rule, the probability of not getting an additional points for a…

A: Let X be the number of students who getting an additional points from binomial distribution with…

Q: ind the probability that the student was male GIVEN they got an ‘A’

A: Consider X as a random variable that follows a normal distribution with mean -8 and standard…

Q: find the probability of rolling one one. two twos, three threes, four fours, five fives, and six…

A: Here use given pmf

Q: Suppose that a number is randomly chosen from the interval (-6,2).  What is the probability that…

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Q: 6.9 7.0 7.3 7.3 7.7 7.7 7.8 D Bank A (single line): 6.6 6.6 6.7 Bank B (individual 4.4 5.4 lines):…

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Q: Bank customers arrive randomly on weekday afternoons at an average of 3.2 cus- tomers every 4…

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Q: probability of rolling a multiple of 3 on a 6 sided die given you already rolled an even number on…

A: Given that  Probability of rolling a multiple of 3 on a 6 sided die given you already rolled an even…

Q: Find the probability of getting three 3’s and then a 4 or a 5 in four rolls of a balanced die

A: A balanced die means having the same chance of getting each value on the face.

Q: What is the probability of rolling at most three sixes in 5 independent casts of this die? Answer in…

A: here given that ,  A die is loaded in such a way that the probability of the face with j dots…

Q: Find the probability of obtaining 2 ones, 1 two, 1 three, 2 fours, 3 fives, and 1 six in 10 rolls of…

A: The knowledge of probability and its various types of distribution helps in the development of…

Q: You and your best friend are part of a group of 102 students which are to be divided into 3 classes…

A: Group of 102 students Divided in 3 equal classes ( 102/3 = 34 students in each group) P(both friends…

Q: Suppose a jar contains 18 red marbles and 36 blue marbles. If you reach in the jar and pull out 2…

A: From the provided information, A jar contains 18 red marbles and 36 blue marbles. Total marbles = 18…

Q: Suppose you roll a special 23-sided die. What is the probability that the number rolled is a "1" OR…

A: We have 23 sided die which means there is 23 faces number from 1,2,3.... 23 Each are equally likely

Q: The mean of the time it takes for a product to arrive from China is 60 days and the standard…

A: Given: Mean time taken for a product to arrive from China is 60 days, that is, μ=60. Standard…

Q: balanced die is rolled twice in a row, what is the probability that the sum of its results is 8 or…

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Q: 12667998o 34 - 加= 2345 0789 0M

A: Given: The frequency of the sum of dice is shown below Sum Frequency 2 1 3 2 4 6 5 6 6…

Q: In one jar, I have two balls labelled 1 and 2 respectively. In a second jar, I have three balls…

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Q: Draw three balls one by one without replacement from a box that has 5 red, 6 blue and 4 yellow…

A: We have given that number of red balls = 5number of blue balls = 6 number of yellow balls = 4

Q: Find the probability of 4 coins falling all tails of when tossed simultaneously Answer should be…

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Q: 2. It has been observed that an average of 3 crabs in a crab swarm are eaten every minute by their…

A: 2. Obtain the probability that 5 crabs will be eaten next two minutes. The probability that 5 crabs…

Q: Calculate the probability of rolling a 2 or an even number on a die

A: Solution: Suppose a die is rolled. The possible outcomes are 1, 2, 3, 4, 5 and 6.

Q: The number of work accidents that occur per week in a mine follows Poisson's law so that the…

A: It is given that P(X = 2) =(3/2) P(X = 1). That is,

Q: When rolling a die 142 times, what is the probability of rolling a 6 greater than 20 times?

A: np = 142/6 = 23.67 >10  n(1-p)  118.33 >10 ============ Normal approximation to binomial dist…