Edexcel S2 january 2011 exam answers review
A disease occurs in 3% of a population. State any assumptions that are required to model the number of people with the disease in a random sample of size n as a binomial distribution.(2)...
A disease occurs in 3% of a population. State any assumptions that are required to model the number of people with the disease in a random sample of size n as a binomial distribution.(2)...
Express 2/(2r + 1)(2r + 3) in partial fractions.(2) Using your answer to (a), find, in terms of n, [IMAGE] Give your answer as a single fraction in its simplest form. (3) ANSWER z...
A bag contains a large number of 1p, 2p and 5p coins. 50% are 1p coins 20% are 2p coins 30% are 5p coins A random sample of 3 coins is chosen from the...
The time in minutes that Elaine takes to checkout at her local supermarket follows a continuous uniform distribution defined over the interval [3, 9]. Find Elaine’s expected checkout time,(1) the variance of the time...
9x²/(x – 1)²(2x + 1) = A/(x – 1) + B/(x – 1)² + C/(2x + 1) Find the values of the constants A, B and C. (4) ANSWER f(x) = 1/√(9 + 4x²)...
Use integration to find the exact value of \(\int_{\frac{\pi}{2}}{0} \)xsin2x dx (6) ANSWER The current, I amps, in an electric circuit at time t seconds is given by I = 16 – 16(0.5)t, t≥0...
Write down the conditions under which the Poisson distribution can be used as an approximation to the binomial distribution.(2) The probability of any one letter being delivered to the wrong house is 0.01 On...
This article explores solving problems using conditional probability. An event B may depend on event A that has already occurred. Consider the following Venn diagram. [IMAGE] The event A has already happened, so we’re...
The curve C has the equation 2x + 3y2 + 3×2 y = 4×2. The point P on the curve has coordinates (–1, 1). Find the gradient of the curve at P.(5) Hence find...