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a) A husband and wife appear in an interview for two vacancies in the same post. The probability of husband's selection is 1/7 and that of wife's selection is 1/5.
What is the probability that
i) Both of them will be selected
ii) Only one of them will be selected
ii) None of them will be selected
b) In a factory, Machine A produces 30% of the output. Machine B 25% and Machine C produces the remaining 45%. 1% of the output of Machine A is defective, 1.2% of B's and 2% of C's. In a day's run the three machines produces 10,000 items. An item is drawn at random from a day's output and is defective.
What is the probability that it was produced by
i) Machine A
ii) Machine B
iii) Machine C
On dividing p(X)=5x^(4)-4x^(3)+3x^(2)-2x+1 by g(x)=x^(2)+2 if q(x)=ax^(2)+bx+c, find a,b and c.
what is your prices
Evaluate following sin 2 ?/3 and sin (-2 ?/3) Solution: The first evaluation in this part uses the angle 2 ?/3. It is not on our unit circle above, though notice that 2 ?/
Suppose research on three major cell phones companies revealed the following transition matrix for the probability that a person with one cell phone carrier switches to another.
limit x APProaches infinity (1+1/x)x=e
1. Sketch the Spiral of Archimedes: r= aθ (a>0) ? 2: Sketch the hyperbolic Spiral: rθ = a (a>0) ? 3: Sketch the equiangular spiral: r=ae θ (a>0) ?
if area of a rectangle is 27 sqmtr and it perimeter is 24 m find the length and breath#
Write following in terms of simpler logarithms. (a) log 3 (9 x 4 / √y) Solution log 3 (9 x 4 / √y) =log 3 9x 4 - log y (1/2) =log 3 9 + log 3 x 4
Carmen bought 3 pounds of bananas for $1.08. June paid for her purchase of bananas. If they paid the same price per pound, how many pounds did June buy?
A class has 175 learners. The given table describes the number of learners studying one or more of the subsequent subjects in this case Subjects
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