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14 If set ‘A’ and set ‘B’ have some common elements then it will be written as
15 If there is not any common elements in two sets A and B then they are
16 If x ~ N (100, 100) then points of inflection are
17 If x ~ N (25, 64) then mean and standard deviation of normal distribution respectively are
18 If X and Y are independent random variables then E(XY) is equal to
19 If x and y are independent random variables then Var (3x – y) =
20 If x and y are independent random variables then Var (x + y) =
32.Number of heads in tossing 3 coins is 33.Number of insured homes against fire is
34.Poisson distribution has/have parameter
35.Probability function can never be 36.Probability function of binomial distribution is
37.Probability of success + probability of failure is equal to
38.Probability of success in binomial distribution
39.Probability of x can never be 40.Probability of x lies between 41.q + p =
Due to Covid 19, managers of mining companies are deciding to have fewer workers, the workers size in a company has decreased over the past months. According to Chamber of Mines report, the mean workers size was 3.18 in 2019. A researcher wanted to check if the current mean workers size is less than 3.18. A sample of 900 workers taken this year by this researcher produced a mean workers size of 3.16 with a standard deviation of 0.70. Using the 0.025 significance level, can you conclude that the mean workers size has decrease since 2019?
From a group of 7 men and 6 women in a firm, five persons are to be selected to form a committee for a project so that at least 3 men are there on the committee. In how many ways can it be done?
A Covid 19 testing machine at a testing centre breaks down an average of three times per year. Using an appropriate probability distribution formula, find the probability that during the next year, this machine will have;
i. exactly two breakdowns
ii. at most one breakdown
A Supervisor of a pharmacy found that 30% of the workers receive their spending money from part – time jobs. If five workers are selected at random, find the probability that at least 3 of them will have part – time jobs.
The average monthly salary of 86 employees has been calculated as ¢1516. Employee No. 87 earned ¢1621. What is the mean salary of the entire 87 employee?
A multiple choice test has 5 questions with 3 choices each. How many ways are there to answer the test? What is the probability that all answers are the same (e.g. 1, 1, 1, 1, 1)?
