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1) At a midway game at the state fair, the probability of winning an individual game is advertised to be 30% (p = . 3). Suppose 50 people played the game (assume all 50 outcomes are independent).
a) Determine the probability that exactly 15 of the 50 people win.
b) Determine the probability that between 12 and 14 people win (i.e. at least 12 but no more than 14 win).
c) What is the average number (expected number) of winners?
Calculate average speed of a train: What is the average speed of a train which completes a 450-mile trip in 5 hours? Solution: Using Equation 15: V av = s/t V a
Find the perimeter of the figure, where AED is a semi-circle and ABCD is a rectangle. (Ans : 76cm) Ans: Perimeter of the fig = 20 + 14 + 20 + length of the arc (AED
Prove that A tree with n vertices has (n - 1) edges. Ans: From the definition of a tree a root comprise indegree zero and all other nodes comprise indegree one. There should
methods of interpolation
A telephone dialled is numbered 0to9. if 0is dialled first the caller is connected to the international exchange system.find the number of local calls that can be rung if a local n
1. Suppose n ≡ 7 (mod 8). Show that n ≠ x 2 + y 2 + z 2 for any x, y, z ε Z. 2. Prove ∀n ε Z, that n is divisible by 9 if and only if the sum of its digits is divisible by 9.
how can i build Y=2x
int*sin^-1 x dx=?
Ashow that sec^2x+cosec^2x cannot be less than 4
Raghav buys a shop for Rs.1,20,000.He pays half the balance of the amount in cash and agrees to pay the balance in 12 annual instalments of Rs.5000 each. If the rate of interest is
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