Search & Filtering
A boy stands on a street corner and tosses a fair die. If 1 or 2 occurs, he walks one block west; otherwise he walks one block east. At his new position he repeats the procedure. What is the probability that after having tossed the coin 6 times he is
(a)At his starting point
(b)2 blocks from his starting point;
(c)4 blocks from his starting point.
Assume that when adults with smartphones are randomly selected, 46% use them in meetings or classes. If 25 adult smartphone users are randomly selected, find the probability that exactly 19 of them use their smartphones in meetings or classes.
The monthly income of employees in a small company is summarised in the frequency
distribution below:
Monthly salary (N$) Number of employees
[1500 – 1999] 15
[2000 – 2499] 10
[2500 – 2999] 20
[3000 – 3499] 4
[3500 – 3999] 1
Required:
a) Suppose the government regulations stipulate that the minimum monthly wage is N$ 2 500. What
percentage of employees at this company earn below the stipulated minimum wage? (2)
b) How many employees earn exactly N$ 3 000 per month? (2)
c) How many employees earn at least N$ 3 000 per month? (1)
d) Calculate the following descriptive statistics for the random
The data below shows the age distribution of cases of a certain disease reported during the year at a hospital.
34, 17, 25, 37, 19, 19, 27, 19, 44, 24,
24, 22, 32, 12, 13, 16, 18, 14, 12, 16,
14, 17, 10, 16, 22, 20, 15, 15, 10, 10,
14, 17, 20, 18, 19, 13, 13, 13, 18, 30,
24, 34, 44, 31, 43, 40, 28, 31, 18, 22,
15, 31, 18, 27, 35, 35, 20, 32, 38, 32
Organizing the data into a frequency distribution or table, Calculate the coefficient of Skewness and Kurtosis and interpret your results
Over the past 30 games between team A and team B, team A has won 14 times, team B has won 11 times and the game ended in a draw 5 times. If these 2 teams played 9 games this season, what is the probability that team A would win 5 games, team B would win 3 games, and the remaining game would be a draw.
N=200, n=10
identify the notation,symbol and value. Average salary of Polytechnic University of the Philippines graduate is at most 324000Ten android tablets will be delivered to a certain school for testing but three of them are defective. The principal will get two of these tablets for testing. Let X represent the defective tablet, Y represent the non-defective tablet and L represent the random variable representing the defective tablet will occur. Complete the table below and find the values of random variable L.
1.A politician engaged the services of a private opinion pollster to determine the sample size needed among his/her constituents to interview about their perceptions on the freedom of information bill. Previous polls revealed that approximately 62.5% are in favor of the bill. The politician adopted the 0.95 level of confidence and off the population value by at most 0.02. How many respondents are included in the sample?
2.A transportation company wants to know the amount of time it takes for a bus to travel from one bus stop to the next. From past observations, the standard deviation is 5 hours.
a. How many measurements are needed in order to be 95% certain that the maximum error estimate will not exceed 1 hour?
b. What sample size is required for a maximum error if 2 hours?
1.In a gymnasium, a physical exercise has a mean length of 30 minutes with a standard deviation of 6 minutes. A PE major wants to estimate the true mean length of the exercise with maximum error pegged at 0.5, adopting the 95% confidence interval. How many respondents does he need?
2.In a paper presentation, the average algebraic reasoning of Grade 8 students in mathematics camp was observed to be 80 with a standard deviation of 4.2. A researcher wants to replicate the study to estimate the true population mean μ to within 0.5 maximum error. If the 95% level of confidence is adopted, how many respondents are needed?
