If the probability of a bad reaction from a certain injection is 0.001, determine the chance that out of 2000 individuals more than two will get a bad reaction Answer:-
The probability that a pen manufactured by a company will be defective is 1 If 12 such pens are manufactured, find the probability that (a) exactly two will be defective (b) at least two will be defective (c) none will…
The marks of 1000 students in an examination follow a normal distribution with a mean 70 and a standard deviation 5. Find the number of students whose marks will be (i) less than 65 (ii) more than 75 (iii)between 65…
Fit a curve by y=axb for the following data x 1 2 3 4 5 y 0.5 2 4.5 8 12.5 Answer:-
Ten competitors in a beauty contest are ranked by two judges A and B in the following order: Calculate the rank correlation coefficient. ID No. ofcompetitors 1 2 3 4 5 6 7 8 9 10 Judge A 1 6…
Calculate the coefficient of correlation and obtain the lines of regression for the following data: x 1 2 3 4 5 6 7 8 9 y 9 8 10 12 11 13 14 16 15 Answer:-
For any two odd integers m and n, show that i) m + n is even ii) mn is odd Answer:-
Define Null Hypothesis, Confidence intervals, Type-I and Type-II errors Null Hypothesis The Hypothesis was formulated for rejection under the assumption that it is true. Null Hypothesis is denoted by Ho . Confidence Interval A confidence interval is the mean of your…
The nine items of a sample have the following values: 45, 47, 50, 52, 48, 47, 49, 53,51. Does the mean of these differ significantly from the assumed mean of these differ significantly from the assumed mean of 47.5?(t0.05=2.31 for…
A sample of 100 students is taken from a large population. The mean height of the students in this sample is 160 cm. Can it be reasonably regarded that in the population the mean height is 165 cm and the…
