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The number of customers arriving per hour at a certain automobile service facility is assumed to follow a Poisson distribution with mean 𝜆 = 7. Compute the probability that more than 10 customers will arrive in a 2-hour period.
Four coins are tossed. Let Z be the random variable representing the number of heads that occur. Find the values of the random variable Z. Compute for the mean, variance, standard deviation. Construct a Probability histogram. *
9 points
3. Let U={positive integers between 1 and 15 inclusive)
A₁ = (21-1,3-2,4i -3,5-4) for i=1,2,3,... where A, SU for every i
Find
a)
U A₂
1=2
A
A-1
find the centroid and boundaries y=x^2 and the line y=x
P(Z>-1.53)
Find the probability of getting a red ace when a card is drawn at random from an ordinary deck of cards.
ACTIVITY IN BASIC CALCULUS
BASIC RULES IN DERIVATIVE
Complete the blanks of the given function below with a number (except 0 and 1) to create your own problem and find the derivative of the function. Show your complete solution to each problem.
1. f(x) = -4x5+ ______x-4 - 2468
2. f (x) =____x-3- _____x1/4 - 12x
3.f(x)= ____ "\\sqrt[4]{x^3} - \\underset{x^6}{=} + \\frac{2}{3} x^6"
4.f (x) = "\\underset{x^-6}{=} -"____ x2 + "\\sqrt[4]{x}"
Find each of the following percentiles points
under the normal curve.
1. P82
2. P34
3. P88
4. P42
5. P68
Suppose three test kits are tested at random. Let D represent the defective test kit and let N represent the non-defective test kit. If we let X be the random variable for the number of defective test kits, construct the probability distribution of the random variable X.
Find the mean of the probability distribution of a random variable X which if 𝑃(𝑋) =
𝑥+1
20
for X= 1, 2, 3, 4, and 5.
