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Find the general solution of the equation:
𝑥^2𝑦" − 9𝑥𝑦′ + 25𝑦 = 0
Solve the initial value problem:
𝑥^2𝑦" + 𝑥𝑦′ + 9𝑦 = 0; 𝑦(1) = 2, 𝑦′(1) = 0
Find the general solution of the equation:
𝑥^2𝑦" − 7𝑥𝑦′ + 12𝑦 = 0
Given population of 5000 scores with mean=86 and standard devation=10. How many scores are between 76 and 86
Which of the Following use the formula (x)= Exp (x)
during the peak hours, the arrival of customers at a fast food restaurant is random with an average rate of 90 per hour
a population consist of the values(1,4,3,2) consider samples of size 2 that can be drawn from this population
The top-selling Amar tire is rated 70,000 KMs, which means nothing. In fact, the distance the tires can run until they wear out is a normally distributed random variable with a mean of 82,000 KMs and a standard deviation of 6,400 KMs. What is the probability that a tire wears out before 70,000 KMs? What is the probability that a tire lasts more than 100,000 KMs? Note: You may use Z-table for this
. Given that X ∼ B(n, p); Show that i. E(X(X − 1)) = n(n − 1)p 2 ii. E( 1 X+1 ) = 1 p(n+1) (1 − (1 − p) n+1) iii. If E(X) = 6 and V ar(X) = 2.4; Find P(X = 5)
A10. If X and Y are independent binomial random variables with identical parameters n
and p, show analytically that the conditional probability of X, given that X + Y = m
is the hypergeometric distribution.
#340153 on Dec 2023