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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?
#k1=f(Tn, Xn), k2=f (Tn + H.Y,Xn + H.Y.k1) Xn+1=Xn + H(a.k1+ b.k2) Find a relation between Y,a and b so that the method is second order consistent.
Two reservoirs of equal cross sectional areas (315 m 2 ) and at equal elevations are connected by a pipe of length 20 m and cross sectional area 3 m 2 . The reservoir on the left (
A jar contains 54 marbles each of which is blue , green or white. The probability of selecting a blue marble at random from the jar is 1/3 and the probability of selecting a green
It takes light 5.3 × 10 -6 seconds to travel one mile. What is this time in standard notation? In order to convert this number to standard notation, multiply 5.3 through the f
L'Hospital's Rule Assume that we have one of the given cases, where a is any real number, infinity or negative infinity. In these cases we have, Therefore, L'H
INTRODUCTION : Do you remember your school-going days, particularly your mathematics classes? What was it about those classes that made you like, or dislike, mathematics? In this
how to solve fraction word problems
A cable is attached to a pole 24 ft above ground and fastened to a stake 10 ft from the base of the pole. In sequence to remain the pole perpendicular to the ground, how long is th
Celine deposited $505 into her savings account. If the interest rate of the account is 5% per year, how much interest will she have made after 4 years? Use the formula F = 9/5
The product of -7ab and +3ab is (-7 x 3) a 2 b 2 = -21a 2 b 2 . In other words, a term with minus sign when multiplied with a term having a positive sign, gives a product having
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