For the following questions answer them individually
If ten coins are tossed simultaneously, then the probability of getting at most 1 head is:
If the occurrence of events follows Poisson Process with mean rate $$\lambda$$ , then inter-occurrence time of events will follow:
A random sample of 100 ball bearings selected from a shipment of 2000 ball bearing has an average diameter of 0.354 inches with standard deviation 0.048 inches. The 95% confidence interval for the average diameter of these 2000 ball bearings is:
In Spearman rank correlation coefficient $$r_s = 1 - \frac{6 \sum d^2}{n(n^2 - 1)}$$, the maximum value of $$\sum d^2$$ in case of untied ranks is:
If $$x = X - \overline{X}$$ and $$y = Y - \overline{Y}$$ and the number of pairs $$(X,Y)$$ is n, then the Karl Pearson’s coefficient of correlation is:
For a group of 100 students, the mean andstandard deviation of scores were found to be 30 and 5 respectively. Later on it was discovered that the scores 34 and 53 were misread as 43 and 35 respectively. The corrected mean equals to:
The given table shows the ranking of ten students in two subjects mathematics and statistics.
The coefficient of rank correlation is: