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A coin is tossed twice and the four possible outcomes are assumed to be equally likely. If A is the event, both head and tail have appeared , and B be the event at most one tail is observed find
P(A/B)
A) 1/3 B) 2/3 C) ½ D) ¼
Here, S={HH,HT,TH,TT},A={HT,TH} and B={HH,HT,TH,}
∴A∩B={HT,TH}
Now(A)=n(A)/n(s)=2/4=1/2,P(B)=n(B)/n(S)=3/4
And (A∩B)=n(A∩B)/n(S)=2/4=1/2
∴P(A/B)=P(A∩B)/P(B)=1/2/3/4 = 2/3.
If r,R denote position vectors of points on the straight lines in the direction of a and b respectively, and if n is a unit vector perpendicular to both these directions, show that
3/45
Mean Value Theorem : Suppose f (x) is a function which satisfies both of the following. 1. f ( x )is continuous on the closed interval [a,b]. 2. f ( x ) is differentiable on
Solve the subsequent IVP and find the interval of validity for the solution. y' + (4/x) y = x 3 y 2 , y(2) = - 1, x > 0 Solution Thus, the first thing that we re
10p=100
Now we need to move onto something called function notation. Function notation will be utilized heavily throughout most of remaining section and so it is important to understand i
Certain model of new home distributed with a mean of $150,000. Find percentage of buyers who paid between $150,000-155,000 if standard deviation is $1800.
Suppose a fluid (say, water) occupies a domain D? R^(3 ) and has velocity field V=V(x, t). A substance (say, a day) is suspended into the fluid and will be transported by the fluid
3 9/10 into decimal
Your grandparents gave you a gift of R2 000 on your 16th birth day. You want to invest the money in an account over four years. You have an option of investing the R2 000 at 8% per
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