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Probability and StatisticsQuestion and Answers: Page 2
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Question and Answers Forum |
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Probability and StatisticsQuestion and Answers: Page 2 |
| let x, y, z be random numbers from 0 to 10 where x,y,z∈R what is the probability that a) all the following is satisfied ∣x−y∣≥2 ∣x−z∣≥2 ∣y−z∣≥2 b) the probability that one or two of them are not satisfied c) the probability that all of them are not satisfied |
| let x and y be random numbers from 0 to 10 where x,y∈R ∣x−y∣≥d what is the probability that their sum is less than 10 in the following cases a) d=0 b) d=1 c) d=2 |
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| A dice is cast twice, and the sum of the appearing numbers is 10. The probability that the number 5 has appeared at least once is. |
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| There is a field. Everyday kids throw some balls on the field. At night the farmer goes and place the bucket in a place where it will contain the most amount of balls. the field can be represented as a line of length 10. the bucket can be represented as a line of length 2. If the kids have thrown 3 balls into the field, what is the probability that the bucket will contain 2 balls how a sample looks like Where the blue line represents the field. and the red line represents the bucket. and the dots are the balls |
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| Statement Does the number of data have to be more than 100 in order to have a percentile value ? |
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| What is the probability that in a class of 18 people, there exists a group of 3 people born on the same day of the week? |
| 60 students of a school must take at least one of the three courses for mathematics, physics and chemistry respectively. if a student is randomly picked, what is the probability that he/she takes only one course? |
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| ∫^( 1) _( 0) ((x(1−x))/(sin(πx)))dx=??? |
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| n! = 2^(25) ×3^(13) ×5^6 ×7^4 ×11^2 ×13^2 ×17×19×23 n=? |
| A research station supplies three varieties of seeds S1, S2 and S3 in the ratio 4: 2: 1. The probabilities of germination of S1, S2 and S3 are 50%, 60% and 80% respectively. Find the probability that a seed selected at random will germinate. |
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| (a) A man P has 5 red, 3 blue and 2 white buses. Another man Q has 3 red, 2 blue and 4 white buses. A bus owned by P is involved in an accident with a bus belonging to Q. Calculate the probability that the two buses are not of the same color. (b) A man travels from Nigeria to Ghana by air and from Ghana to Liberia by ship. He returns by the same means. He has 6 airlines and 4 shipping lines to choose from. In how many ways can he make his journey without using the same airline or shipping line twice? |
| (a) 5 out of 12 articles are known to be defective. If three articles are picked, one after the other, without replacement, find the probability that all the three articles are non-defective. (b) Two coins are tossed and a dice is thrown. What is the probability of obtaining a head, a tail and a 4? |
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