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Suppose a sitcom is filmed on set between zero and five days per week. The following...
You play football three, two, one, or zero days a week. Let us call this event...
You play football three, two, one, or zero days a week. Let us call this event as X. Randomly assign the probability to each event considering the basic two properties of discrete probability distribution and calculate the expected value, variance and standard deviation for the probability distribution which you have chosen.
B5. (a) A factory makes 5 trucks per day, seven days per week. Each truck has probability 0.1 of ...
B5. (a) A factory makes 5 trucks per day, seven days per week. Each truck has probability 0.1 of being faulty, independently of any other trucks i) What is the probability that exactly two of the trucks made in one week are faulty? ii) What is the expected number of faulty trucks made per week? 5 marks (b) The workers at the factory are asked to keep making trucks until a faulty truck is made. Again each truck has probability...
Employers want to know which days of the week employees are absent in a five-day work...
Employers want to know which days of the week employees are absent in a five-day work week. Most employers would like to believe that employees are absent equally during the week. Suppose a random sample of 70 managers were asked on which day of the week they had the highest number of employee absences. The results were distributed as in Table. For the population of employees, do the days for the highest number of absences occur with equal frequencies during...
Employers want to know which days of the week employees are absent in a five-day work...
Employers want to know which days of the week employees are
absent in a five-day work week. Most employers would like to
believe that employees are absent equally during the week. Suppose
a random sample of 91 managers were asked on which day of the week
they had the highest number of employee absences. The results were
distributed as in Table. For the population of employees, do the
days for the highest number of absences occur with equal
frequencies during...
(6) Each morning, twenty five police cadets are arranged like the entries of a 5 x 5 matrix. Each cadet forgets the...
(6) Each morning, twenty five police cadets are arranged like the entries of a 5 x 5 matrix. Each cadet forgets their cap with probability 1 -p, independently of the other cadets. Define random variables or more cadets in row i forgot their cap one 0:otherwise and or more cadets in column j forgot their cap : one Y,= 0 : otherwise X1 + X2++X +Yi+Y2++Y, Lastly, let Z (a) What is E(X,)? (b) What is P(X3 1 and Y21)?...
Question Help Apoicn department released the numbers of cals for the dfferent days of the week...
Question Help Apoicn department released the numbers of cals for the dfferent days of the week during the month of Octaber, as shown in the table to the night Use a 0.01 signiticance level fo test the claim that the dferant diays of the week have the same froquences of police calls What is the fundimental eror with this analysis? Sun Mon 201 Sat Day Frequency Tues Wed Thurs 152 223 243 175 206 239 Debermine the null and altemative...
A police department released the numbers of calls for the different days of the week during...
A police department released the numbers of calls for the different days of the week during the month of October, as shown in the table to the right. Use a 0.01 significance level to test the claim that the different days of the week have the same frequencies of police calls. What is the fundamental error with this analysis? Fri Day Frequency Sun 160 Mon 205 Tues 220 Wed 250 Thurs 170 Sat 240 208 Determine the null and alternative...
A company has five applicants for two positions: two women and three men. Suppose that the...
A company has five applicants for two positions: two women and three men. Suppose that the five applicants are equally qualified and that no preference is given for choosing either gender. Let x equal the number of women chosen to fill the two positions. (a) Write the formula for px), the probability distribution of X. csc 3 O - p(x) = - 2-X for x = 0, 1, 2 NN 0 2-x for x = 0, 1, 2 0 NNNN...
In the next set of questions (9 to 20), you will consider a situation and a...
In the next set of questions (9 to 20), you will consider a situation and a variable Xand determine whether each of the four requirements of the binomial setting are met. If the binomial setting is not technically met, but is very nearly met (see the discussion on pages 65-66 of the Unit 6 notes), then you should still select True for the binomial setting requirement. For questions 17 to 20: Buy one soft drink every day for a week...
For Exercises 3-15 to 3-18, verify that the following functions are probability mass functions, and determine...
For Exercises 3-15 to 3-18, verify that the following functions are probability mass functions, and determine the requested probabilities. 3-15. x 2 x)1/8 2/8 2/8 2/8 18 (a) P(Xs 1) (c) P(-1 X (b) P(X-2) (d) P(X--1 1) or X= 2) 3-28. The data from 250 endothermic reactions involving sodium bicarbonate are summarized as follow Final Temperature Conditions 266 K 271 K 274 K Number of Reactions 70 80 100 33. Determine the cumulative distribution function for the random variable...
B5. (a) A factory makes 5 trucks per day, seven days per week. Each truck has probability 0.1 of being faulty, independently of any other trucks i) What is the probability that exactly two of the trucks made in one week are faulty? ii) What is the expected number of faulty trucks made per week? 5 marks (b) The workers at the factory are asked to keep making trucks until a faulty truck is made. Again each truck has probability...
Employers want to know which days of the week employees are
absent in a five-day work week. Most employers would like to
believe that employees are absent equally during the week. Suppose
a random sample of 91 managers were asked on which day of the week
they had the highest number of employee absences. The results were
distributed as in Table. For the population of employees, do the
days for the highest number of absences occur with equal
frequencies during...
(6) Each morning, twenty five police cadets are arranged like the entries of a 5 x 5 matrix. Each cadet forgets their cap with probability 1 -p, independently of the other cadets. Define random variables or more cadets in row i forgot their cap one 0:otherwise and or more cadets in column j forgot their cap : one Y,= 0 : otherwise X1 + X2++X +Yi+Y2++Y, Lastly, let Z (a) What is E(X,)? (b) What is P(X3 1 and Y21)?...
Question Help Apoicn department released the numbers of cals for the dfferent days of the week during the month of Octaber, as shown in the table to the night Use a 0.01 signiticance level fo test the claim that the dferant diays of the week have the same froquences of police calls What is the fundimental eror with this analysis? Sun Mon 201 Sat Day Frequency Tues Wed Thurs 152 223 243 175 206 239 Debermine the null and altemative...
A police department released the numbers of calls for the different days of the week during the month of October, as shown in the table to the right. Use a 0.01 significance level to test the claim that the different days of the week have the same frequencies of police calls. What is the fundamental error with this analysis? Fri Day Frequency Sun 160 Mon 205 Tues 220 Wed 250 Thurs 170 Sat 240 208 Determine the null and alternative...
A company has five applicants for two positions: two women and three men. Suppose that the five applicants are equally qualified and that no preference is given for choosing either gender. Let x equal the number of women chosen to fill the two positions. (a) Write the formula for px), the probability distribution of X. csc 3 O - p(x) = - 2-X for x = 0, 1, 2 NN 0 2-x for x = 0, 1, 2 0 NNNN...
For Exercises 3-15 to 3-18, verify that the following functions are probability mass functions, and determine the requested probabilities. 3-15. x 2 x)1/8 2/8 2/8 2/8 18 (a) P(Xs 1) (c) P(-1 X (b) P(X-2) (d) P(X--1 1) or X= 2) 3-28. The data from 250 endothermic reactions involving sodium bicarbonate are summarized as follow Final Temperature Conditions 266 K 271 K 274 K Number of Reactions 70 80 100 33. Determine the cumulative distribution function for the random variable...
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