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NAME QUIZ 1 1. Let X denote the number of patients who suffer an infection in...
Please show ALL of your work! Question 15 Let X denote the number of patients who...
Please show ALL of your work!
Question 15 Let X denote the number of patients who suffer an infection within a floor of a hospital per month with the following probabilities (See Fig. below) Determine the following probabilities: Round your answer(s) to three decimal places (e.g. 98.765) (a) Less than one infection (b) More than three infections (c) At least one infection (d) No infections 2 PlX-x) 10.69 0.19 0.051 0.069
1. (15 pts.) The results of our MIDTERM in MATH 279 are as follows: 75,22,36,34,55,56,27,83,17,58,57,42,58,52,42,82,27.92.52,42,100,83,27,58,52. (a)...
1. (15 pts.) The results of our MIDTERM in MATH 279 are as follows: 75,22,36,34,55,56,27,83,17,58,57,42,58,52,42,82,27.92.52,42,100,83,27,58,52. (a) Find the mean and standard deviation. (b) Display the data in a stem-and-leaf plot. (C) Find the median and quartiles. 2. (14 pts.) Let X denote the number of patients who suffer an infection in a hospital per week with the following probabilities: x 10 1 2 3 f(x) 0.6 0.25 0.1 0.05 Find the following: (a) Cumulative distribution function, F(x); (b) Mean and...
3-17. Let X denote the number of bars of service on your cell phone whenever you...
3-17. Let X denote the number of bars of service on your cell phone whenever you are at an intersection with the follow- ing probabilities: 4 P(X x) 0.1 0.15 0.25 0.25 0.15 0.1 Determine the following probabilities: (a) Two or three bars (b) Fewer than two bars (c) More than three bars (d) At least one bar
Let X denote the number of times (1, 2, or 3 times) a certain machine malfunctions...
Let X denote the number of
times (1, 2, or 3 times) a certain machine malfunctions on any
given day.
2. Let X denote the number of times (1, 2, or 3 times) a certain machine malfunctions on any given day. Let Y denote the number of times (1, 2, or 3 times) a technician is called on an emergency call. The joint probability distribution fxy(x, y) is given by 1 2 y 0.05 1 0.05 0.1 2 0.05 0.1...
2. Let X denote the number of times (1, 2, or 3 times) a certain machine...
2. Let X denote the number of times (1, 2, or 3 times) a certain machine malfunctions on any given day. Let Y denote the number of times (1, 2, or 3 times) a technician is called on an emergency call. The joint probability distribution fxy(x, y) is given by 1 0.05 0.05 0 0.05 0.1 0.2 0.1 0.35 0.1 (a) Evaluate the marginal pdf and the mean of X (b) Evaluate the marginal pdf and the mean of Y....
A lab has six computers. Let X denote the number of those computers that are in...
A lab has six computers. Let X denote the number of those computers that are in use at a particular time of day. Suppose that the probability distribution of X is given in the following table 0 f(x) = P(X=x) 0.05 F(x) = P(XSX) 1 0.1 2 0.15 3 0.25 14 10.2 0.2 S6 5 K 0.1 1. Find k. 2. Find the probability that at least 3 computers are in use. 3. Find the probability that between 2 and...
4. (20 points) Xavier and Yvette are real estate agents. Let X denote the number of...
4. (20 points) Xavier and Yvette are real estate agents. Let X denote the number of houses that Xavier will sell in a month and let Y denote the number of houses Yvette will sel in a month with the following joint probabilities of (x, Y) 0.2 0.1 0.3 0.1 0.2 (a) Find the unconditional mean E (Y) (b) Find the unconditional variance V (Y) (c) Find the conditional means E (Y(X 0) and E (Y(X (d) Find COV (x,y)...
4. (20 points) Xavier and Yvette are real estate agents. Let X denote the number of...
4. (20 points) Xavier and Yvette are real estate agents. Let X denote the number of houses that Xavier will sell in a month and let Y denote the uber of houses Yvette will sell in a month with the following joint probabilities of (X,Y) 0.1 0.2 0.2 0.3 0.1 (a) Find the unconditional mean E(Y) (b) Find the unconditional variance V (Y) (c) Find the conditional means E (YlX-0) and E(Y|X = 1). (d) Find COV (X, Y)
1 Let X denote the time in hours (rounded to nearest hour) for the quality control...
1 Let X denote the time in hours (rounded to nearest hour) for the quality control lab to provide results from a process sample. The probability mass function is given below. Determine the following values: 0 4 EK f(x) 0.25 P(X< 2 hours) P 1.75< X S4) PD( 군 1) F(X), the cumulative distribution E(X) and V(x) 0.15 0.45 0.05 0.1
Let X be a random number between 0 and 1 produced by the idealized uniform random...
Let X be a random number between 0 and 1 produced by the idealized uniform random number generator. Use the density curve for X, shown below, to find the probabilities: 1 0.8+ 0.6 0.4+ 0.2 + 0.4 + 0 0.2 0.6 0.8 (a) P(0.1 X 0.8) = (b) P(X 0.8)
Please show ALL of your work!
Question 15 Let X denote the number of patients who suffer an infection within a floor of a hospital per month with the following probabilities (See Fig. below) Determine the following probabilities: Round your answer(s) to three decimal places (e.g. 98.765) (a) Less than one infection (b) More than three infections (c) At least one infection (d) No infections 2 PlX-x) 10.69 0.19 0.051 0.069
1. (15 pts.) The results of our MIDTERM in MATH 279 are as follows: 75,22,36,34,55,56,27,83,17,58,57,42,58,52,42,82,27.92.52,42,100,83,27,58,52. (a) Find the mean and standard deviation. (b) Display the data in a stem-and-leaf plot. (C) Find the median and quartiles. 2. (14 pts.) Let X denote the number of patients who suffer an infection in a hospital per week with the following probabilities: x 10 1 2 3 f(x) 0.6 0.25 0.1 0.05 Find the following: (a) Cumulative distribution function, F(x); (b) Mean and...
3-17. Let X denote the number of bars of service on your cell phone whenever you are at an intersection with the follow- ing probabilities: 4 P(X x) 0.1 0.15 0.25 0.25 0.15 0.1 Determine the following probabilities: (a) Two or three bars (b) Fewer than two bars (c) More than three bars (d) At least one bar
Let X denote the number of
times (1, 2, or 3 times) a certain machine malfunctions on any
given day.
2. Let X denote the number of times (1, 2, or 3 times) a certain machine malfunctions on any given day. Let Y denote the number of times (1, 2, or 3 times) a technician is called on an emergency call. The joint probability distribution fxy(x, y) is given by 1 2 y 0.05 1 0.05 0.1 2 0.05 0.1...
2. Let X denote the number of times (1, 2, or 3 times) a certain machine malfunctions on any given day. Let Y denote the number of times (1, 2, or 3 times) a technician is called on an emergency call. The joint probability distribution fxy(x, y) is given by 1 0.05 0.05 0 0.05 0.1 0.2 0.1 0.35 0.1 (a) Evaluate the marginal pdf and the mean of X (b) Evaluate the marginal pdf and the mean of Y....
A lab has six computers. Let X denote the number of those computers that are in use at a particular time of day. Suppose that the probability distribution of X is given in the following table 0 f(x) = P(X=x) 0.05 F(x) = P(XSX) 1 0.1 2 0.15 3 0.25 14 10.2 0.2 S6 5 K 0.1 1. Find k. 2. Find the probability that at least 3 computers are in use. 3. Find the probability that between 2 and...
4. (20 points) Xavier and Yvette are real estate agents. Let X denote the number of houses that Xavier will sell in a month and let Y denote the number of houses Yvette will sel in a month with the following joint probabilities of (x, Y) 0.2 0.1 0.3 0.1 0.2 (a) Find the unconditional mean E (Y) (b) Find the unconditional variance V (Y) (c) Find the conditional means E (Y(X 0) and E (Y(X (d) Find COV (x,y)...
4. (20 points) Xavier and Yvette are real estate agents. Let X denote the number of houses that Xavier will sell in a month and let Y denote the uber of houses Yvette will sell in a month with the following joint probabilities of (X,Y) 0.1 0.2 0.2 0.3 0.1 (a) Find the unconditional mean E(Y) (b) Find the unconditional variance V (Y) (c) Find the conditional means E (YlX-0) and E(Y|X = 1). (d) Find COV (X, Y)
1 Let X denote the time in hours (rounded to nearest hour) for the quality control lab to provide results from a process sample. The probability mass function is given below. Determine the following values: 0 4 EK f(x) 0.25 P(X< 2 hours) P 1.75< X S4) PD( 군 1) F(X), the cumulative distribution E(X) and V(x) 0.15 0.45 0.05 0.1
Let X be a random number between 0 and 1 produced by the idealized uniform random number generator. Use the density curve for X, shown below, to find the probabilities: 1 0.8+ 0.6 0.4+ 0.2 + 0.4 + 0 0.2 0.6 0.8 (a) P(0.1 X 0.8) = (b) P(X 0.8)
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