Theoretical Distribution 0 Theoretical Distribution 1 / 30 Q.30 The method usually applied for fitting a binomial distribution is known as Method of least square Method of moments Method of probability distribution Method of distributions 2 / 30 Q.29 The important characteristic(s) of Bernoulli trials Each trial is associated with just two possible outcomes Trials are independent Trials are infinite Both (1) and (2) 3 / 30 Q.28 When there are a fixed number of repeated trial of any experiments under identical conditions for which only one of two mutually exclusive outcomes, success or failure can result in each trial then Normal distribution Binomial distribution Poisson distribution None is used 4 / 30 Q.27 A Random variables X follows uniform distribution in the interval [-3, 7]. Then the mean of distribution is 2 4 5 6 5 / 30 Q.26 In a discrete random variable x">xx follows uniform distribution and assumes only the values 8,9,11,15,18,20">8,9,11,15,18,208,9,11,15,18,20. Then P(|x-14|<5)">P(|x−14|<5)P(|x-14|<5) is 1/3 2/3 1/2 1 6 / 30 Q.25 In a discrete random variable x"> x">xx follows uniform distribution and assumes only the values 8,9,11,15,18,20">8,9,11,15,18,208,9,11,15,18,20. Then P(x≤15)">P(x≤15)P(x≤15) is 2/3 1/3 1 None 7 / 30 Q.24 In a discrete random variable x follows uniform distribution and assumes only the values 8, 9, 11, 15, 18, 20. Then P(x < 15) is 1/2 2/3 1 None 8 / 30 Q.23 In a discrete random variable x follows uniform distribution and assumes only the values 8, 9, 11, 15, 18, 20. Then P(x = 12) is 1/6 0 1/7 None 9 / 30 Q.22 In a discrete random variable x follows uniform distribution and assumes only the values 8, 9, 11, 15, 18, 20. Then P(x = 9) is 2/6 1/7 1/5 1/6 10 / 30 Q.21 In uniform distribution random variable x assumes n values with Equal probability Unequal probability Zero None 11 / 30 Q.20 The occurrence of point in a single throw of a fair die follows the frequency distribution f(x) = 1/4 f(x) = 1/5 f(x) = 1/6 None 12 / 30 Q.19 The probability distribution whose frequency distribution f(x)=1/n(x=x1,x2,x3,...">f(x)=1/n(x=x1,x2,x3,...">f(x)=1/nx=x1,x2,x3,...f(x)=1/n(x=x1,x2,x3,.... xn)">xnxn) is known as Binomial distribution Poisson distribution Uniform distribution Normal distribution 13 / 30 Q.18 The no. of points obtained in a single throw of an unbiased dice follow: Binomial distribution Poisson distribution Uniform distribution None 14 / 30 Q.17 A trial is an attempt to Make something possible Make something impossible Prosecute an offender in a court of law Produce an outcome which is neither certain nor impossible 15 / 30 Q.16 Probability function is known as Frequency function Continuous function Discrete function None 16 / 30 Q.15 Probability distribution may be Discrete Continuous Infinite Both (1) and (2) 17 / 30 Q.14 Theoretical distribution is a Random distribution Standard distribution Probability distribution None 18 / 30 Q.13 A theoretical probability distribution Does not exist Exists only in theory Exists in real life Both (2) and (3) 19 / 30 Q.12 A variate x">Q.12 x">xx follows Poisson Distribution with variance 5. Find P(x≥1)">P(x≥1)P(x≥1). (Given: e-5=0.00674">e−5=0.00674e-5=0.00674) x"> 0.99326 0.99236 0.99632 0.99327 20 / 30 Q.11 Area under normal curve between -α"> -α">−α-α and μ">μμ is -1 1 -1 to 0 None of these 21 / 30 Q.10 x~B(5,0.4),y~B(7,0.4)">x~B(5,0.4),y~B(7,0.4)x~B(5,0.4),y~B(7,0.4) then x+y~">x+y~x+y~ (12, 0.4) (12, 0.8) (5, 0.8) (7, 0.8) 22 / 30 Q.9 f(x)=ncr">f(x)=ncrf(x)=ncr. qn-x.px">qn−x.pxqn-x.px is called Probability mass function Probability density function (a) or (b) None 23 / 30 Q.8 The heights of 1000 soldiers in a regiment are distributed normally with a mean of 175 cms and s.d. 5 cms. How many will have their height between 165 cms and 185 cms? 954 955 956 957 24 / 30 Q.7 The I.Q. scores of 1500 applicants for admission to a tuition-free graduate school are normally distributed with a mean of 125 and a standard deviation of 10. What percentage of applicants will have their I.Q. between 125 and 135? 34.13% 34.31% 35.13 31.34% 25 / 30 Q.6 The weights of 4000 students are found to be normally distributed with mean 50 kgs. And S.D. 5 kgs. Find the number of students with weights between 45 and 60 kg. (You are given the area under z= 0 to z= 1 is 0.3413 and z=0 and z=2 is 0.4772) 3427 3274 3247 3742 26 / 30 Q.5 Suppose that sizes of hats are approximately normally distribution with mean of 18.5 cm and a s.d. of 2.5 cm. how many hats in the total of 2000 will have sizes more than 20 cms? (Area between z=0 and z=0.6 is 0.2257 and the area between z=0 and z=0.2 is 0.0793 where is the standard normal variate) 550 549 547 545 27 / 30 Q.4 It is observed that one out of four persons requires on an average medical help. Find the probability that only one person out of three requires medical help. P(1) = 27/46 P(1) = 64/27 P(1) = 27/64 P(1) = 46/27 28 / 30 Q.3 If the probability that any person 40 years old will be dead within a year is p=0.01. Find the probability that out of a group of 7 such persons, none will die within one year. 0.932 0.923 0.0932 0.0093 29 / 30 Q.2 The number of observations that can be chosen without any restriction is called Degree of independence Degree of freedom Degree of dependence None of these 30 / 30 Q.1 Binomial distribution is applicable only when Trial are independent Trial are dependent & just two outcomes success and failure Trial are independent & just two outcomes success and failure Only two outcomes success & failure Your score is LinkedIn Facebook Twitter VKontakte
