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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?
1. Consider the following context free grammar G with start symbol S (we write E for the empty string, epsilon): S ---> bB | aSS A ---> aB | bAA B ---> E | bA | aS a. D
The region bounded by y=e -x and the x-axis among x = 0 and x = 1 is revolved around the x-axis. Determine the volume and surface area of this solid of revolution.
Evaluate the given limit. Solution: In this question none of the earlier examples can help us. There's no factoring or simplifying to accomplish. We can't rationalize &
by purchasing rs.10 shares for rs.40 each mala gets 5% income on her investment. what rate of dividend is the company paying? what will be the amount of dividend if she buys 120 sh
steps to draw direction or slope fields
It's now time to do solving systems of differential equations. We've noticed that solutions to the system, x?' = A x? It will be the form of, x? = ?h e l t Here l and
Consider the equation e x 3 + x 2 - x - 6 = 0, e > 0 (1) 1. Apply a naive regular perturbation of the form do derive a three-term approximation to the solutions
Hi, I don''t know how to solve 2(5x+3)
INTRODUCTION : When a child of seven isn't able to solve the sum 23+9, what could the reasons be? When she is asked to subtract 9 from 16, why does she write 9 - 16 = 13 ?
A bourbon that is 51 proof is 25.5% alcohol by volume while one that is 82 proof is 41% alcohol. How many liters of 51 proof bourbon must be mixed with 1.0 liter of 82 proof bourbo
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