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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?
Here we will use the expansion method Firstly lim x-0 log a (1+x)/x firstly using log property we get: lim x-0 log a (1+x)-logx then we change the base of log i.e lim x-0 {l
Suppose that the number of hours Katie spent practicing soccer is represented through x. Michael practiced 4 hours more than 2 times the number of hours that Katie practiced. How l
A company makes 2 products, Product A and Product B. The product characteristics are shown in the following table. Product A B
We will begin this chapter by looking at integer exponents. Actually, initially we will suppose that the exponents are +ve as well. We will look at zero & negative exponents in a
sum of zero of polynomial x2-2x+1is equal to sum of zero of polynomial x3-2x+x then find the product of all the three zero of the second polynomial
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Prove that a m + n + a m - n =2a m Ans: a m + n = a 1 + (m + n - 1) d a m-n = a 1 + (m - n -1) d a m = a 1 + (m-1) d Add 1 & 2 a m+n + a m-n =
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