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Consider all possible samples of size 3 that can be drawn without replacement from the population 1, 5, and 8, 6, 10. Compute the following:
1. Population mean
2. Population variance
3. Population standard deviation
4. Illustrate the probability histogram of the sampling distribution of the means
1. A supermarket owner believes that the
mean income of its customers is P50,000
per month. One - hundred customers are
randomly selected and asked of thei r
monthly income. The sample mean is
P48,500 per month and the standard
deviation is P3,200. Is there sufficient
evidence to indicate that the mean
income of the customers of the
superma rket is P50,000 per month? Use
�� = 0.05.
The average age of public jeepneys playing in Metro Manila is 15 years. Assume that the standard deviation is 4 years. If a random sample of 64 public jeepneys is chosen, find the probability that the mean of jeepneys ages is Between 12 to 19 years
Use a standard algorithm to calculate: "4 \\frac{2}{3}+\\frac{2}{3}-1\\frac{3}{4}" . Explain how you worked on the second step to assist the understanding of the standard algorithm used.
4 and 1are whole numbers and the rest are fractions.
The final exam in statistics class were normally distributed with a mean of 63 and standard deviation of 5. Find the 90th percentile
Find the derivative for each function.
1.) y=x^4-3x^3+5x^2-2x+1
2.) y=7/9
Let vector A=a1i +a2j + a3k and B=b1i + b2j + b3k ne on the same plane. Fine the unit vector perpendicular to both A and B.
Find the position vector of the point in space P that lies on the line AB such that |AP|/|PB|= m/n with m, n is a real number. Find the position vector of P if vector A=(1,2,1), B(3,-1,2), m=3 and n=2
Solve for the determinant in the equation below. (10)
1.7.1.
4 −3 2
1 2 −2
2 −1 −4
1.7.2
2 −2 1
2 2 1
4 1 3
As urvey unofficially claimed that in every five young executives, only one practices good reading habits.
What is the probability that out of 10 young executives, two executives practice good reading habits? （b) What is the probability that at least five out of 20 young executives practice good reading habits?
