Statistics and Probability Answers

Records show that the probability is 0.000002 that a bike rider will have an accident while driving on the way of university through Biswamil. Using poisson distribution determine the probability that among 200,000 bike riders driven on the way of university through Biswamil, not more than one will have an accident. ( e^-0.4 = 0.67)                                                                                     

During a laboratory experiment, the average number of radioactive particles passing through   a counter in 1 millisecond is 2. What is the probability that 5 particles enter the counter in any given millisecond?                                                                                                       

1.     

          (ii) If 1% of an airline’s flight suffers a minor equipment failure in an aircraft, what is the probability that there will be exactly 5 such in the next 1000 such flights?                                (2)

1.      (i) Use normal approximation to a Binomial Distribution (X) having n=500 trials and p = 0.025 for finding out:

(a)   P(X>10);                              (b) P(X<18)       (c) P(X>21)               (d) P(9<X<14)    (4)

Following is the distribution of marks (out of 25) obtained by 10 students in Physics and Mathematics. XY Y X No. 1 2 3 4 Mathematics (Y) 21 23 14 23 17 18 16 19 20 23 194 Physics (X) 18 20 11 20 14 15 13 16 17 20 164 5 6 324 400 121 400 196 225 169 256 289 400 2780 441 529 196 529 289 324 256 361 400 529 3854 378 460 154 460 238 270 208 304 480 460 3412 7 8 9 10 Total Draw a scatter diagram for all the 10 students and calculate the correlation between marks of Physics and Mathematics.

Find the probability that 3 or 4 cars have been sold in a day

12 individuals are chosen at random from a normal derivative and breadth are found to be in meters 54,56,60,44,40,41,36,49,67,69,72,74, in the light of these data discuss suggestion that mean width in the population is 72 meter

An accounting firm has three departments. Each department consists of account clerks, executives and accountants. The numbers are as follows;

Department 1

Accountants - 1

Executives - 2

Account clerks -.8

Department 2

Accountants - 3

Executives - 5

Account clerks - 14

Department 3 

Accountants - 2

Executives - 3

Account clerk - 12

If five workers are selected at random, find:

i) the number of ways at least three workers from Department 3 were chosen.

ii) the probability that two executives were chosen.

Supposex ~N(0,1) and Y=X2 Write down the p.d.f. of Y. Calculate E(Y) and Var(Y).

two dice arr simultaneously rolled find probillity to getting sum of at least 11