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It is estimated that average number of events during an year is three. What is the probability of occurrence of not more than two events over a two year duration? Assume that the number of events follow a Poisson's distribution.

It is estimated that average number of events during an year is three. What is the probability of occurrence of not more than two events over a two year duration? Assume that the number of events follow a Poisson's distribution. Correct Answer 0.062

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The following are the two statements relating to the theory of probability. Indicate the statements being correct or incorrect.
Statement I The probability of the joint occurrence of independent events A and B is equal to the probability of event A multiplied by the probability of event B or vice-versa.
Statement II The probability of the joint occurrence of independent event A and dependent event B is equal to the probability of event A multiplied by the conditionalprobability of event B when event A has occurredor vice-versa.
The average of eight batsmen J, K, L, M, N, O, R, and T is compared. The number of batsman having average less than L are same as the number of batsman having average more than M. Average of T is less than M and more than K. Average of L is less than K. Average of two batsman lies between the average of M and L. Average of O is less than N and K both. Which of the following can be the correct sequence of their averages?
Which of the following statements are true?
1. The classical approach to probability theory requires that the total number of possible outcomes be known or calculated and that each of the outcomes be equally likely.
2. A marginal probability is also known as unconditional probability.
3. For three independent events, the joint probability of the three events, P (ABC) = P (A) × P (B/A) × P (C/AB)
4. Two events are mutually exclusive, exhaustive and equally likely, the probability of either event A or B or both occurring P(A or B) = P(A) + P(B)
Questions below followed by three quantities. Find the relationship between them. Quantity I: In a class with a certain number of students if a teacher weighing 78 kg is added, then average weight of class is increased by 2 kg. If one more teacher weighing 66 kg is added, then the average weight of the class increases by 3.5 kg over the original average. What is the original average weight (in kg) of the class? Quantity II: The average age of 16 students and their teacher's age is 16 years. If the teacher's age is excluded, the average reduces by 2. What is the teacher's age? Quantity III: Average weight of three friends A, B and C is 46 kg. Another person D joins the group and now the average is 45 kg. If another person E whose weight is 6 kg more than D, joins the group replacing A, then average weight of B, C, D and E becomes 47 kg. What is the weight of A (in kg)?
A probability distribution with right skew is shown in the figure.
Probability and Statistics mcq question image
The correct statement for the probability distribution is
The average of 12 number is 70. The average of the first four numbers is 60 while the average of the last five number is \(33\frac{1}{3}\%\) more than the average of the first four numbers. The 6th number is 20 more than the 5th number while the 7th number is 10 more than the 6th number. By what percent is the 6th number more than the 5th number?
Questions below followed by three quantities. Find the relationship between them. Quantity I: Average age of 14 members of team is 25 years. While oldest member of the team is 26 years older than youngest member of the team. Out of remaining 12 members of team, average age of six members of team is 28 years and the remaining six members is 20 years. What is the age of oldest member of the team? Quantity II: Average age of Nitu, Rekha and Shyam is 17 years. Two new persons Divya and Raju joined them so that average age of all become 19 years. If Divya is 2 years older than Raju and Rekha is 2 years older and 1 year older than Shyam and Nitu respectively. What is sum of the average age of Nitu and Shyam together and average age of Divya and Rekha together? Quantity III: The average age of father, mother and their two sons is 27.5. Five years ago, the ratio of ages of father, mother and two sons (elder and younger) is 7 : 5 : 2 : 1. Find the sum of ages of two sons after 7 years.
Duration along the critical path defines which of the following? A. Shortest duration needed B. Shortest duration permissible C. Longest duration needed D. Longest duration permissible Select the code for the correct answer from the options given below: 
Consider the following statements: 1. Two events are mutually exclusive if the occurrence of one event prevents the occurrence of the other. 2. The probability of the union of two mutually exclusive events is the sum of their individual probabilities. Which of the above statements is/are correct?
A construction project consists of twelve activities. The estimated duration (in days) required to complete each of the activities along with the corresponding network diagram is shown below. Activity Duration (days) Activity Duration (days) A Inauguration 1 G Flooring 25 B Foundation work 7 H Electrification 7 C Structural construction - 1 30 I Plumbing 7 D Structural construction - 2 30 J Woodwork 7 E Brick masonry work 25 K Coloring 3 F Plastering 7 L Handing over function 1   Total floats (in days) for the activities 5-7 and 11-12 for the project are, respectively: