Search & Filtering
Let Q (x,) be the statement “the word x contains the letter a.” What are the truth values of the following?
a) P(orange)
b) P(lemon)
c) P(true)
d) P(false)
1. Determine whether this proposition is a tautology.
[(p → q) ∧ (q → r)] → (p→ r)
Determine whether this proposition is a tautology.
[(p → q) Ù (q → r)] → (p→ r)
A population consists of the five measurements 2, 6, 8, 3 & 1. How many different
samples of size n = 2 can be drawn from the population? What is the mean & variance
of the sampling distribution of the sample means? Follow steps 1 to 6.
a population consisits of four numbers (3,8,10,15) consider all the possible sample of size 2 that can be drawn without replacement from the population find the following
a.find the population mean
b. find the population varince
c.find the population standard deviation
d.find the possible sample of size 2 which can be drawn without replacement from this population
e.find the mean of the sampling distribution of means
f.find the varience of the sampling distribution of means
g.find the standard deviation of the sampling distribution of means .
Perform the hypothesis of the following scenarios.
The graduate record exam is standardized test recquired to be admitted to many graduate schools in the United States. A high score in GRE makes admissions more likely. According th the educational testing service, the mean score for takers of GRE who do not have training courses is 555 with standard deviation of 139. Brain Philippine offers expensive GRE training courses, claiming their graduates score better than those who have not talen any training courses. To test the company's claim, a statisticiam randomly selected 30 graduates of BP and asked their GRE scores. They recorded a mean score of 560 in GRE. Is the company's claim true, using a 95% confidence level?
Find each of the following percentile points under the normal curve.
1. P99
2. P90
3. P68
4. P40
5. P32
Find each of the following percentile points under the normal curve. 1. P99 2. P90 3. P68 4. P40 5. P32
find the distance between the point (1, 2) and the line y= 4x+ 1
maternity hospital located at the heart of the city is providing nursery kit items for expectant mother clients. The common colors of these items are either pink (for female babies) or blue (for male babies). The hospital management’s concern is the number of each colored item they have to prepare to meet the demands of their clients. On the basis of the previous years’ experience, the management estimates that the probability that any one mother will have a female baby and will be using pink items is .60.
Task: Determine the probability distribution from 20 mothers, with and , with the table below. Then, create a graph using Microsoft Excel. Submit your prepared Microsoft Excel through the drop-box feature of eLMS.
4 0.000
5 0.001
6 0.005
7 0.015
8 0.035
9 0.071
10 0.117
11 0.160
