Engineering Math Booster Quiz-2

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Question 1

Let P(E) denote the probability of the occurrence of event E.
If P(A) = 0.5 and P(B) = 1, then the values of P(A/B) and P(B/A) respectively are

• A0.5, 0.25
• B0.25, 0.5
• C0.5, 1
• D1,0.5

Question 2

If A,B,C, are any three matrices , then A’+B’+C’ is equal to

• Aa null matrix
• BA+B+C
• C(A+B+C)'
• D-(A+B+C)

Question 3

The formula
P_k =
is

• ANewton’s backward formula
• BGauss forward formula
• CGauss backward formula
• DStirling‘s formula

Question 4

The value of x at which y is minimum for y = x² — 3x +1 is

• A-3/2
• B3/2
• C0
• D-5/4

Question 5

A root a of equation f(x)=0 can be computed to any degree of accuracy if a ‘good’ initial approximation x₀ is chosen for which

• Af (x_o)>0
• Bf (x₀) f”( x₀)>0
• Cf (x)_o f” (x_o)
• Df” (x_o)>0

Question 6

The rank of the matrix A = is ___________.

• A0
• B1
• C2
• D3

Question 7

Company X shipped 5 computer chips, 1 of which was defective, and Company Y shipped 4 computer chips, 2 of which were defective. One computer chip is to be chosen uniformly at random from the 9 chips shipped by the companies. If the chosen chip is found to be defective, what “is the probability that the chip cane from company Y?

• A2/9
• B4/9
• C2/3
• DNone of these

Question 8

Let f(x) be the continuous probability density function of a random variable x. The probability that a <x b, is

• Af(b - a)
• Bf(b) - f(a)
• C(x)dx
• D(x)dx

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