A student is busy with probability 1/2, relaxed with probability 1/3,and nostalgic with probability 1/6. Let...
A student is busy with probability 1/2, relaxed with probability 1/3,and nostalgic with probability 1/6. Let D be the number of days the student delays laundry. What is E(D)?
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A student is busy with probability 1/2, relaxed with probability
1/3,and nostalgic with probability 1/6. Let...
4. The probability that there is no accident at a certain busy intersection is 95 %...
4. The probability that there is no accident at a certain busy intersection is 95 % on any given day, independently of the other days a) (5 points) Find the probability that there will be no accidents at this intersection during the aext 7 days b) (5 points) Find the probability that next September (which has 30 days) there will be exactly 2 days with accidents. e) (5 points) Find the probability that there is no accident during the next...
Let x be the number of courses for which a randomly selected student at a certain...
Let x be the number of courses for which a randomly selected student at a certain university is registered. The probability distribution of x appears in the table shown below: x 1 2 3 4 5 6 7 p(x) .03 .05 .09 .26 .39 .14 .04 (a) What is P(x = 4)? P(x = 4) = (b) What is P(x ≤ 4)? P(x ≤ 4) = (c) What is the probability that the selected student is taking at most five...
1.A fair six-sided die is rolled. {1, 2, 3, 4, 5, 6} Let event A =...
1.A fair six-sided die is rolled. {1, 2, 3, 4, 5, 6} Let event A = the outcome is greater than 4. Let event B = the outcome is an even number. Find P(A|B). A.0 B.1/3 C.2/3 C.3/3 2.A student stays at home. Let event N = the student watches Netflix. Let event Y = the student watches the very educational youtube videos made by her/his instructor.Suppose P(N) = 0.1, P(Y) = 0.8, and P(N and Y) = 0. Are N and...
The number of accidents per week at a busy intersection was recorded for a year. There...
The number of accidents per week at a busy intersection was recorded for a year. There were 19 weeks with no accidents, 17 weeks with one accident, 9 weeks with two accidents, and 7 weeks with three accidents. A week is to be selected at random and the number of accidents noted. Let X be the outcome. Then X is a random variable taking on the values 0, 1, 2, and 3. (a) Write out a probability table for X...
6. Extra-credit problem: 6 pts] Let θ denote the unknown proportion of time that an airline operator is busy answering customers, where 0 <8 <1. To estimate 0, a supervisor observes the ope...
6. Extra-credit problem: 6 pts] Let θ denote the unknown proportion of time that an airline operator is busy answering customers, where 0 <8 <1. To estimate 0, a supervisor observes the operator at times selected randomly and independently from other observed times. Let xi1 if the operator is busy at the ith observation and let x, 0 otherwise, i -1,.,n. If the supervisor uses #2X1+--+- to estimate θ, determine the value of n for which the error of eatimation...
1) Let A be the event that a student is enrolled in an accounting course, and...
1) Let A be the event that a student is enrolled in an accounting course, and let S be the event that a student is enrolled in a statistics course. It is known that 30% of all students are enrolled in an accounting course and 40% of all students are enrolled in statistics. Included in these numbers are 15% who are enrolled in both statistics and accounting. Find the probability that a student is in accounting and is also in...
2. Suppose that a student intends to spend 4 days studying economics or astronomy. following table...
2. Suppose that a student intends to spend 4 days studying economics or astronomy. following table gives the maximum number of pages the student can review given astronomy, 3 days on astronomy and 1 on economics, 2 days on astronomy and economics, 1 day on astronomy and 3 on econo Days on Astronomy 4 Astronomy (pages) Days on Economics Economics (pages) 0 The 4 days on 2 on mics, and 4 days on economics. 140 80 120 210 270 300...
2. Suppose that a student intends to spend 4 days studying economics or astronomy. following table...
2. Suppose that a student intends to spend 4 days studying economics or astronomy. following table gives the maximum number of pages the student can review given astronomy, 3 days on astronomy and 1 on economics, 2 days on astronomy and economics, 1 day on astronomy and 3 on econo Days on Astronomy 4 Astronomy (pages) Days on Economics Economics (pages) 0 The 4 days on 2 on mics, and 4 days on economics. 140 80 120 210 270 300...
(1) (2) (3) (4) (5) (6) (7) (8) (9) (10) Nemia Consuelo invests P200,000 in cash...
(1) (2) (3) (4) (5) (6) (7) (8) (9) (10) Nemia Consuelo invests P200,000 in cash to start a laundry business on August 1. Purchased equipment for R50,000 paying + 30,000 in cash and the remainder due in 30 days. Purchased supplies for 5,200 cash. Received a bill from College News for £ 1,300 for advertising in the campus newspaper. Cash receipts from customers for cleaning and laundry amounted to + 6,400. Paid salaries of P 600 to student workers....
6. Let X be a random variable with the following probability distribution: r -3 6 9...
6. Let X be a random variable with the following probability distribution: r -3 6 9 )1/6 1/2 1/3 Suppose g(X) = (2N + 1)2 (a) Find μ9(x). Use the formula μ9(X) = Σ1 g(z)/(x). (b) Find E(X) an! E(X2) and then, using these values, evaluate μ9(x).
4. The probability that there is no accident at a certain busy intersection is 95 % on any given day, independently of the other days a) (5 points) Find the probability that there will be no accidents at this intersection during the aext 7 days b) (5 points) Find the probability that next September (which has 30 days) there will be exactly 2 days with accidents. e) (5 points) Find the probability that there is no accident during the next...
The number of accidents per week at a busy intersection was recorded for a year. There were 19 weeks with no accidents, 17 weeks with one accident, 9 weeks with two accidents, and 7 weeks with three accidents. A week is to be selected at random and the number of accidents noted. Let X be the outcome. Then X is a random variable taking on the values 0, 1, 2, and 3. (a) Write out a probability table for X...
6. Extra-credit problem: 6 pts] Let θ denote the unknown proportion of time that an airline operator is busy answering customers, where 0 <8 <1. To estimate 0, a supervisor observes the operator at times selected randomly and independently from other observed times. Let xi1 if the operator is busy at the ith observation and let x, 0 otherwise, i -1,.,n. If the supervisor uses #2X1+--+- to estimate θ, determine the value of n for which the error of eatimation...
2. Suppose that a student intends to spend 4 days studying economics or astronomy. following table gives the maximum number of pages the student can review given astronomy, 3 days on astronomy and 1 on economics, 2 days on astronomy and economics, 1 day on astronomy and 3 on econo Days on Astronomy 4 Astronomy (pages) Days on Economics Economics (pages) 0 The 4 days on 2 on mics, and 4 days on economics. 140 80 120 210 270 300...
2. Suppose that a student intends to spend 4 days studying economics or astronomy. following table gives the maximum number of pages the student can review given astronomy, 3 days on astronomy and 1 on economics, 2 days on astronomy and economics, 1 day on astronomy and 3 on econo Days on Astronomy 4 Astronomy (pages) Days on Economics Economics (pages) 0 The 4 days on 2 on mics, and 4 days on economics. 140 80 120 210 270 300...
(1) (2) (3) (4) (5) (6) (7) (8) (9) (10) Nemia Consuelo invests P200,000 in cash to start a laundry business on August 1. Purchased equipment for R50,000 paying + 30,000 in cash and the remainder due in 30 days. Purchased supplies for 5,200 cash. Received a bill from College News for £ 1,300 for advertising in the campus newspaper. Cash receipts from customers for cleaning and laundry amounted to + 6,400. Paid salaries of P 600 to student workers....
6. Let X be a random variable with the following probability distribution: r -3 6 9 )1/6 1/2 1/3 Suppose g(X) = (2N + 1)2 (a) Find μ9(x). Use the formula μ9(X) = Σ1 g(z)/(x). (b) Find E(X) an! E(X2) and then, using these values, evaluate μ9(x).
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