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1. (2 points) What are the two requirements for a probability distribution? 2. (8 points) Suppose...
2. The probability that a basketball athlete hit the rim of basketball is 0.9. Evaluate the probability distribution of...
2. The probability that a basketball athlete hit the rim of basketball is 0.9. Evaluate the probability distribution of the number of hitting times X if he shoots the basket twice independently. 6. Suppose X has a discrete uniform distribution: P(X = xi--,-1,2, , n. Find the distribution function of X 12.Let X denote the total number insects on a leaf and suppose that X ~ P, (3) (1)What is the probability that there are no insects on the leaf?...
2) Suppose the weight of a newborn baby follows a normal distribution with a mean of...
2) Suppose the weight of a newborn baby follows a normal distribution with a mean of 3500 grams and a standard deviation of 600 grams. a. What is the probability that the weight of a randomly selected newborn exceeds 4000g? b. For a random sample of 36 newborns, what is the probability that their mean weight is less than 3450g? 3) Suppose that 5% of American adults are vegetarian. Find the probability that in a random sample of 500 American...
Table of the most usual probability distribution functions of maintenance processes Create a table of the...
Table of the most usual probability distribution functions of maintenance processes Create a table of the most usual probability mass functions (pmf) or probability distribution functions (pdf) (for discrete or continuous random variables) and their features that are mostly applied in Maintenance and Reliability. The columns should contain the following information: pmf or pdf, range of the variable, the cumulative distribution function (CDF), parameters, range of parameters, mean value, standard deviation or variance. Draw the table landscape The table is...
Suppose that the following table is the joint probability distribution of two random variables X and...
Suppose that the following table is the joint probability distribution of two random variables X and Y: х -2 0 2 3 0.27 0.08 0.16 0.2 0.1 0.04 0.1 0.05 a. Find the marginal PDF of X when x=-2, 0, 2, and 3. b. Find the marginal PDF of Y when y=2 and 5. . Find the conditional PDF of x=-2 and 3 given that y=2 has occurred. . Find the conditional PDF of y=2 and 5 given that x=3...
8. (12 points) A bo without replacement, Suppose that X is the number of red widgets...
8. (12 points) A bo without replacement, Suppose that X is the number of red widgets chosen. (a) What are the possible values of X? x contains 7 red widgets and 3 blue widgets. Two widgets are chosen from the box (b) Find the probability mas values of X and the second row has the corresponding probability the function (p.m.f.) for X in the form of a table, where the first row values of X. (e) Draw the graph of...
1. Javier volunteers in community events each month. He does not do more than five events...
1. Javier volunteers in community events each month. He does not do more than five events in amonth. He attends exactly five events 35%ofthetime, four events. 2596-ofthetime, three events.20% of the time, two events-10% of the time, oneevent 596 of the time, and no events 5% ofthe-time. - a. Define the random variable X. many events avier valanicers far n a b. What values does x take on? / J c. Construct a PDF table. d. Find the probability that...
1. (8 points) A worker is deciding whether to attend school. Assume that there are two...
1. (8 points) A worker is deciding whether to attend school. Assume that there are two periods. Let r denote the discount rate between periods. Let k denote the cost of tuition. If the worker does not attend school, then she earns 10 in period 1 and 10 in period 2. If the worker attends school, then she earns -kin period 1 and 25 in period 2. (a) Suppose that k 0. For what values of r will the worker...
Discrete probability problems 0.2 pts Question 12 The table below is a discrete probability distribution in...
Discrete probability problems
0.2 pts Question 12 The table below is a discrete probability distribution in which x represents the number of tudents that a statistics tutor may see on any given day and Pix) represents the probability that the tutor sees that number of students. P(x) О.11 0.18 e.36 e.16 e.14 e.es What is the mean of this discrete probability distribution? (Round to the nearest hundredth.) Question 13 0.2 pts The table below is a discrete probability distribution in...
4. (20 points) Suppose that for a given computer salesperson, the probability distribution of X =...
4. (20 points) Suppose that for a given computer salesperson, the probability distribution of X = the number of systems sold in one month is given by the following table: 1314 5 px .1 X-M (x - 1)? (a) (7 points) Find y, the mean value of x. (6) (8 points) Find o, the standard deviation of x. Hint: Fill out the above table, then we we formula c) (5 points) What is the probability that the number of systems...
2. The probability that a basketball athlete hit the rim of basketball is 0.9. Evaluate the probability distribution of the number of hitting times X if he shoots the basket twice independently. 6. Suppose X has a discrete uniform distribution: P(X = xi--,-1,2, , n. Find the distribution function of X 12.Let X denote the total number insects on a leaf and suppose that X ~ P, (3) (1)What is the probability that there are no insects on the leaf?...
Table of the most usual probability distribution functions of maintenance processes Create a table of the most usual probability mass functions (pmf) or probability distribution functions (pdf) (for discrete or continuous random variables) and their features that are mostly applied in Maintenance and Reliability. The columns should contain the following information: pmf or pdf, range of the variable, the cumulative distribution function (CDF), parameters, range of parameters, mean value, standard deviation or variance. Draw the table landscape The table is...
Suppose that the following table is the joint probability distribution of two random variables X and Y: х -2 0 2 3 0.27 0.08 0.16 0.2 0.1 0.04 0.1 0.05 a. Find the marginal PDF of X when x=-2, 0, 2, and 3. b. Find the marginal PDF of Y when y=2 and 5. . Find the conditional PDF of x=-2 and 3 given that y=2 has occurred. . Find the conditional PDF of y=2 and 5 given that x=3...
8. (12 points) A bo without replacement, Suppose that X is the number of red widgets chosen. (a) What are the possible values of X? x contains 7 red widgets and 3 blue widgets. Two widgets are chosen from the box (b) Find the probability mas values of X and the second row has the corresponding probability the function (p.m.f.) for X in the form of a table, where the first row values of X. (e) Draw the graph of...
1. Javier volunteers in community events each month. He does not do more than five events in amonth. He attends exactly five events 35%ofthetime, four events. 2596-ofthetime, three events.20% of the time, two events-10% of the time, oneevent 596 of the time, and no events 5% ofthe-time. - a. Define the random variable X. many events avier valanicers far n a b. What values does x take on? / J c. Construct a PDF table. d. Find the probability that...
1. (8 points) A worker is deciding whether to attend school. Assume that there are two periods. Let r denote the discount rate between periods. Let k denote the cost of tuition. If the worker does not attend school, then she earns 10 in period 1 and 10 in period 2. If the worker attends school, then she earns -kin period 1 and 25 in period 2. (a) Suppose that k 0. For what values of r will the worker...
Discrete probability problems
0.2 pts Question 12 The table below is a discrete probability distribution in which x represents the number of tudents that a statistics tutor may see on any given day and Pix) represents the probability that the tutor sees that number of students. P(x) О.11 0.18 e.36 e.16 e.14 e.es What is the mean of this discrete probability distribution? (Round to the nearest hundredth.) Question 13 0.2 pts The table below is a discrete probability distribution in...
4. (20 points) Suppose that for a given computer salesperson, the probability distribution of X = the number of systems sold in one month is given by the following table: 1314 5 px .1 X-M (x - 1)? (a) (7 points) Find y, the mean value of x. (6) (8 points) Find o, the standard deviation of x. Hint: Fill out the above table, then we we formula c) (5 points) What is the probability that the number of systems...
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