a)P(less then one infection)=P(X=0)=0.69
b)P(more then 3)=P(X>3)=0
c)P(at least one infection)=1-P(X=0)=1-0.69=0.31
d) P(no infection)=P(X=0)=0.69
Please show ALL of your work! Question 15 Let X denote the number of patients who...
NAME QUIZ 1 1. Let X denote the number of patients who suffer an infection in a hos- pital per week with the following probabilities: P(X-x) 0.6 0.25 0.1 0.05 )):)M adP 1): 0) PLX S 20)
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
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...
Question 19 Let X denote the number of bits received in error in a digital communication channel, and assume that X is a binomial with p = 0.0003. If 1000 bits are transmitted, determine the following Round your answers to four decimal places (e.g. 98.7654) (a) P(X = 1) (b) P(X 2 1) (c) P(X s 2) (d) mean and variance of X. (d) Mean = variance =
4. (Extra credit, all hand work. Use your paper and attach.) Let A-and assume a,b,ct are positivs. 0 b c (a) Let f) denote the characteristic polynomial of A. Calculate it and show work. You should get (b) Prove that A has only one real eigenvalue, that it is positive, and that the other two eigenvalues of A must be conjugate complex numbers. Let eigenvalues. λ denote the real positive eigenvalue and let λ2 and λ3 denote the other two...
6. Let X and Y denote the number of times Harry Potter and Ron Weasley manage to irritate Professor Snape in one day, respectively. Suppose that X and Y have the following joint probability distribution: x у 0 2 در 4 0 0.15 0.10 0.05 0 0 0.10 0.10 0.20 0.10 0 2 0 0 0.05 0.10 0.05 Px(x) 0.25 0.20 0.30 0.20 0.05 Recall Homework 4: E(X)= 1.6, SD(X)= 1.2. f) Find the probability that Harry Potter irritates Professor...
Solve the following problems. Show your work clearly. Question 1 (25 points): Let f(x) = x5: (A)Determine whether fis one-to-one by using a geometric method. (B)“The inverse function of f(x) = xs is equal to the inverse function of f(x) = x5 +6" Is this statement true or false? Justify your solution steps. (C) Solve the equation ex®+6 = 7. Determine whether the solution changes or not when ex* = 7. Compare your solution steps by using the properties of...
please solve all these questions 4 Customers who are registered on a corporate Web site are summarized by the type of shipping contract they use and the number of orders in the previous month. The number of customers in each category are shown in the following table Shipping Contract Express Standard No orders One order More than one order Total Total 25 15 40 65 44 109 44 20 64 134 79 213 Suppose that three customers are selected randomly,...
please show your work! Thanks Question 6. Bib Fortuna watches the front gate of Jabba the Hut's compound in four-hour shifts. The planet Tatooine is sparsely populated and the gate gets an average of 3 visits per 4 hours. a) Let X be the number of visits to the gate in 4 hours. How would you model X? Explain. b) Find the probability that Bib Fortuna gets no more than two visits during the 4 hour shift. c) Let Y...
please show your work, especially for question one! thanks Question 1. Here are some data: 115.8, 115.2, 114.6,115.9, 116.4 Use the table below to answer the following questions (NOT R!): a) Compute the mean value for these data b) Compute the deviation from the sample mean for each observation (xi-x) cCompute the sample standard deviation using the defining formula d) Compute the sample standard deviation using the computational short-cut e) What is the mean value of the deviations? xi-x)2 xi...