Search & Filtering
A population consists of the five measurements 2, 6, 8, 0, and 1.
1. How many different samples of size 3 can be drawn from the population (no replacement)?
2. Construct the sampling distribution of the sample means.
a continuous random variable T has the following probability density function.
f(t) = { 32t2/128, -4≤t<4
0, otherwise
a. find E(t)
b. find Var(T)
c. Var(2T+3)
. There are 250 dogs at a dog show that weigh an average of 12 pounds, with
a standard deviation of 8 pounds. If 4 dogs are chosen at random, what is
the probability that the average weight is greater than 8 pounds?
1)Assume that the total marks were at an average of u=18 per assesment,and that the distribution of total marks are normally distributed with o=10
a)What is the proportion that a student would have a mark more than 24 mark if randomly selected ?
b)What proportion of students would have marks between 10 and 24
2)A normal distribution has u=80 o=10. What is the probability of random selecting the following scores?
a) x > 75
b) x < 85
c) between the mean and score of 90
d) between the mean and score of 50
e) 75 < x <85
a continuous random variable T has the following probability density function.
f(t) = { 32t2/128, -4≤t<4
0, otherwise
a. find E(t)
b. find Var(T)
c. Var(2T+3)
Determine whether the distribution represents a probability distribution. If not, identify any requirements that are not satisfied.
USE T TEST (one sample mean)
One of the undersecretary of the Department of Labor and Employment (DOLE) claims that the average salary of civil engineer is P18,000. A sample of 19 civil engineers salary has a mean of
Given:
STEP 1: STATE THE HYPOTHESIS AND IDENTIFY THE CLAIM.
STEP 2: THE LEVEL OF SIGNIFICANCE
STEP 3: THE T CRITICAL VALUE
STEP 4: COMPUTE THE ONE SAMPLE (T)TEST VALUE
STEP 5: DECISION RULE
STEP 6: CONCLUSION
In an exam taken by 800 candidates, the average and standard deviation of marks obtained (normally distributed) are 40% and 10% respectively. What should be the minimum score if 350 candidates are to be declared as passed
A population consist of the data 10,9,6,20,16 and 24.costruct a sampling distribution of size 3.
Suppose that the 2004 state of land use in a city of 60 mi2 of built up area is
C: Commercially used 25% I: industrially used 20% R: Residentially used 55%.
Find the states in 2009 and 2019, assumming that transition probabilities for 5 years intervals are
given by the matrix A nad remain practically the same over the time considered.
a = [FromC FromI FromR ]
[.7 .1 0 To C]
[.2 .9 .2 To I]
[.1 0 .8 To R]
