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1. The probability that a couple will have a child with black hair is 0.6.
If this couple has 7 children what is
(a) the probability that exactly 3 of these children have black hair ?
(b) the probability that no more than 2 of their children have black hair ?
(c) the probability that none of the children have black hair
(d) what is the mean number of their children that have black hair and what is the variance ?
2. The service life of an incandescent light bulbs used domestically was investigated.
It was found that a light bulb can last up to 3 years, and the probability distribution of the number of years a light bulb was used before failure is given below:
(i) What is the mean service life of a light bulb?
(ii) What is the variance and standard deviation of a service life of a light bulb?
Definite integration It involve integration among specified limits, say a and b The integral is a definite integral whether the limits of integration are as: a and b
In the adjoining figure, ABCD is a square of side 6cm. Find the area of the shaded region. Ans: From P draw PQ ⊥ AB AQ = QB = 3cm (Ans: 34.428 sq cm) Join PB
If e were rational, then e = n/m for some positive integers m, n. So then 1/e = m/n. But the series expansion for 1/e is 1/e = 1 - 1/1! + 1/2! - 1/3! + ... Call the first n v
Find the solution to the subsequent IVP. ty' - 2y = t 5 sin(2t) - t 3 + 4t 4 , y (π) = 3/2 π 4 Solution : First, divide by t to find the differential equation in the accu
Chain Rule : If f(x) and g(x) are both differentiable functions and we describe F(x) = (f. g)(x) so the derivative of F(x) is F′(x) = f ′(g(x)) g′(x). Proof We will s
P and Q are the points (12,0) and (0,-5) respectively,find the length of the median through the origin O of the triangle OPQ
find or evaluate the integral integrate((e^2x + e^x + 1)/(e^x))dx
What''s the price for a Marketing plan assignment ( postgraduate)5000 words?
For the given function recognize the intervals where the function is increasing and decreasing and the intervals where the function is concave up & concave down. Utilizes this info
There are only Chinese and Malay pupils in a hall.The ratio of the number of boys to the number of girls is 2:3.The ratio of the number of Chinese boys to the number of Malay boys
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