The probability that a bulb produced by a factory will fuse after 150 days of use is 0.05. Find the probability that out of 5 such bulbs. I. noneII. not more than oneIII. more than oneIV. at least onewill fuse after 150 days of use.
If \(\vec{a}.\vec{a}=0\) and \(\vec{a}.\vec{b}=0,\)then what can be concluded about the vector \(\vec{b}\)?
Find the area of the smaller region bounded by the ellipse \(\frac{x^2}{a^2}\)+\(\frac{y^2}{b^2}\)=1 and the line \(\frac{x}{a}\)+\(\frac{y}{b}\)=1
Five cards are drawn successively with replacement from a well-shuffled deck of 52 cards. What is the probability that: (i) all the five cards are spade? (ii) only 3 cards are spades? (iii) none of spade?
Determine order and degree(if defined)of differential equation \(\frac{d^4y}{dx^4}\)+sin(y''')=0
\(If ƒ(x)=∫_0^xt\ sin\ t\ dt,\ then ƒ'(x)is\)
A pair of dice is thrown 4 times. If getting a doublet is considered a success, find the probability of two successes.
There are 5% defective items in a large bulk of items. What is the probability that a sample of 10 items will include not more than one defective item?
Find the area of the smaller region bounded by the ellipse \(\frac{x^2}{9}\)+\(\frac{y^2}{4}\)=1 and the line
\(\frac{x}{3}\)+\(\frac{y}{2}\)=1
Find the area enclosed by the parabola 4y=3x2 and the line 2y=3x+12
Find the area enclosed between the parabola y2=4ax and the line y=mx