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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 probability of an event ‘A’ happening on Monday is 40% and probability of event ‘B’ happening on Monday is 35%, what is the probability that either event A or event B is happening on Monday?
Arrange the following steps in sequence in order to calculate the probability of an event through Naïve Bayes classifier. I. Find the likelihood probability with each attribute for each class. II. Calculate the prior probability for given class labels. III. Put these values in Bayes formula and calculate posterior probability. IV. See which class has a higher probability, given the input belongs to the higher probability class.
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)
Following are the conditions to select a manager for accounts in a company: 1, The candidate must be at least 30 years and not more than 40 years as on 1st January 2019. 2. Be a commerce graduate with at least 55% aggregate marks 3. Have experience of at least 10 years of accounts experience out of which at least 3 years in a managerial position in an organization. 4, Have secured at least 60% in the recruitment process. At 2 above. but has secured at least 50% aggregate marks in graduation and has secured 80% in there cruitment process, he can be referred to VP-accounts. In each question below the candidate details are provided. Read the question and answer based on the information provided. Don’t assume anything. Ram is born on 1 August 1974 and has a 60% aggregate in graduation -he has 15 years" experience in an organization with 5 years as accounts manager.
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
Study the following information carefully to answer the questions given below. AGS organization is conducting an interview. Following are the criteria for a certain post. All these cases are given as of 1.05.2017. The candidate must: A. Be an engineering graduate with at least 70% marks. B. Be not less than 21 years and not more than 30 years of age as of 1.05.2017. C. Have passed the selection test with at least 60% marks. D. Be willing to pay a deposit of 60,000/-, to be refunded on completion of training. However, if the candidate fulfills the above-mentioned criteria except: I. At (A) above, but has appeared for the last semester examination, and has obtained an aggregate of 75% marks in first 7 semesters, his/her case may be referred to the V.P of the company. II. At (D) above, but is willing to pay an amount of at least Rs. 30,000/- and has obtained at least 80% marks at engineering degree, his/her case may be referred to the general manager of the company. Ranjith has appeared for the last semester of the engineering degree exam and expects to score as least 76% marks. His aggregate score up to the first 7 semesters is 82%. He has just completed 21 years of age as of 1.05.2017. He has scored 63% in the selection test and is ready to pay an amount of 60,000/- as a deposit.
Given below are two statements:  Statement I: Minimum number of bits required to store any 3-digit decimal number is 10.  Statement II: The data in a digital computer is stored in terms of bits/ bytes where one Peta Byte is equal to 250 bits. In the light of the above statements, choose the correct answer from the options given below:
Which of the following statements are true/false?
1. A minimum rate of wages for the time spent by employees for the production of output is minimum time rate.
2. Minimum piece rate is the rate based on the quantity of the output employees have produced.
3. The guaranteed time rate is a minimum rate of remuneration to apply in the case of employees employed on piece work for the purpose of securing to such employees a minimum rate of wages on a time work basis.
4. A minimum rate of remuneration to apply in the case of employees employed on piece work for the purpose of securing to such employees a minimum rate of wages on a time work basis is overtime rate.
Assume that a 12-bit Hamming codeword consisting of 8-bit data and 4 check bits is d8d7d6d5c8d4d3d2c4d1c2c1, where the data bits and the check bits are given in the following tables: Data bits d8 d7 d6 d5 d4 d3 d2 d1 1 1 0 x 0 1 0 1   c8 c4 c2 c1 Y 0 1 0 Which one of the following choices gives the correct values of x and y?