71.
Find the probability that in a family of 4 children there will be at least one boy. Assume that the probability of a male birth is $$\frac{1}{2}$$.

75.
You are given the following information about advertising expenditure and sales.
Advertisement (X) Sales (Y) (Rs. in lakh)
Arithmetic Mean 10 90
Standard Deviation 3 12
Correlation coefficient between advertising expenditure and sales 0.80. What is the likely sales for advertising budget of Rs. 15 lakh?

76.
From a well shuffled pack of 52 cards a card is selected at random. Find the probability that it is a black coloured card

79.
In two large populations there are 35 and 30 per cent of fair haired people. Will the differ ence disappear at 5% level of significance, if samples of 1500 and 1000 are respectively taken from the two populations?

80.
Given, N = 15, $$\overline {\text{X}} $$ = 25, $$\overline {\text{Y}} $$ = 18, $$\sum $$d2x = 136, $$\sum $$d2y = 138, $$\sum $$dxdy = 122. Calculate the correlation coefficient.

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