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Three audience members are chosen at random to participate in a magic show. If there are 75 people in attendance, What is the probability you and your two friends are chosen?
The TV repair company receives TVs with various faults. Therefore, their correction time Tis a random variable. Find the probability density function of this random dudge if the probability distribution function F(t) has the following form: (0, t <0, F(t) ={1-, t>0,
Ten students obtained the following percentage of marks in the college internal test (x) and in the final university examination (y). Find the correlation coefficient between the marks of the two test. x 51 63 63 49 50 60 65 63 46 50 y 49 72 75 50 48 60 70 48 60 56
The joint density for the random variables (X, Y), nit where X is the unit temperature change and Y is the proportion of spectrum shift that a certain atomic particle produces, is
In a time motion study, it was found that a certain manual work can be finished at an average time of 40 minutes with a standard deviation of 8 minutes. A group of 16 students is given a special training and then found the average is only 35 minutes. Can we conclude that the special training can speed up the work using 0.01 level?
a. Formulate the null hypothesis
b. Select an appropriate alternative hypothesis
c. Determine the level of significance to be used
d. Choose an appropriate test statistics and determine the critical value of the test statistics
e. Find the value of the test statistics using the sample date
f. Make a decision, reject Ho if the absolute computed value of the test statistics is greater than the absolute critical value, otherwise accept Ho
1.Describe three measures of central tendency
2.Discuss the purpose of using the measures of central tendency
3.Define the mean, median, and mode.
4.Identify the distinguishing characteristics of the mean, median, mode.
5.Discuss the limitation of the mean, median, and mode
In a sample of 500 persons from Town A, 200 are found to be consumers of Wheat. In a sample of 400 from Town B, 220 are found to be consumers of Wheat. Do these data reveal a significant difference between Town A and Town B as far as the proportion of Wheat consumers is concerned?
A random variable X denotes the number of consumers in a sample of 300 who favor a particular product over all competitors. What are the possible values of X?
In university’s football team average weight of players is around (60 + α) kg, and the standard deviation is 4.37 lbs. Assuming heights are normally distributed (a) What percentage of players are heavier than 70 kg? (b) If your favorite player is within the heaviest (α+12)% of all players, what can his weight be?
A phone lock is a combination of four digits where each digit can vary from 0 to 9. If a person tries any combination randomly what is the probability that he puts at least two digits right but is unable to unlock the phone?
