Test: Theoretical Distributions- 6 - CA Foundation MCQ

 If the points of inflexion of a normal curve are 40 and 60 respectively, then its mean deviation is 

For a Poisson variate X, P(X = 1) = P (X = 2). What is the mean of X?

 If it known that the probability of a missile hitting a target is 1/8, what is the probability that out of 10 missiles fired, at least 2 will hit the target?

 If the two quartiles of N (µ , σ²) are 14.6 and 25.4 respectively, what is the standard deviation of the distribution?

If 1 percent of an airline's flights suffer a minor equipment failure in an aircraft, what is the probability that there will be exactly that  there will be exactly two such failures in the next 100 such flights?

 If the Ist quartile and mean deviation about median of a normal distribution are 13.25 and 8 respectively, then the mode of the distribution is 

 X is a binomial variable such that 2 P(X = 2) = P( x = 2) and mean of X is known to be 10/3. What would be the probability that X assumes at most the value 2?

If the mean deviation of a normal variable is 16, what is its quartile deviation?

 If the quartile deviation of a normal curve is 4.05, then its mean deviation is 

What is the probability of getting 3 heads if 6 unbiased coins are tossed simultaneously?

What is the standard deivation of the number of recoveries among 48 patients when the probability of recovering os 0.75?

 If a variate X has has, mean > variance, then its distribution will be_______.

If x is a binomial variate with parameter 15 and 1/3, what is the value of mode of the distribution

What is the number of trials of a binomial distribution having mean and SD as 3 and 1.5 respectively?

If X ~ P (m) and its coefficient of variation is 50, what is the probability that X would assume only non-zero values?

If the standard deviation of a Poisson variate X is 2, what is P (1.5 < X < 2.9)?

If the mean of a Poisson variable X is 1, what is P(X = takes the value at least 1)?

 X is a binomial variable with n = 20. What is the mean of X if it known that x is symmetric 

 What is the probability of making 3 correct guesses in 5 True-False answer type question?

If 1.5 per cent of items produced by a manufcaturing units are known to be defective, what is the probability that a sample of 200 items would contain no defective item?

5,000 students were appeared in an examination. The mean of marks was 39.5 with a Standard Deviation 12.5 marks. Assuming the distribution to be normal, find the number of students recorded more than 60% marks.Given: When Z = 1.64, aREA OF NORMAL CURVE = 0.4495

If the overall percentage of success in an exam is 60, what si the probability that out of a group of 4 students, at least one has passed?

In a certain Poisson frequency distributionn, the probability corresponding to two successes is half the probability corresponding to three successes.The mean of the distribution is 

 For Poisson Distribution:

 In a normal distribution quartile deviation is 6, the standard deviation will be 

 An approximate relation between quartile deviation (QD) and standard deviation (S.D) of normal distribution is:

In a binomial Distribution with 5 independent trials, probability of 2 and 3 successes are 0.4362 and 0.2181 respectively. Parameter 'p' of the binomial distribution is: