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Suppose there is a bin of 20 Nintendo Switches, and exactly 3 of...
Problem 1 Version 1 1. An engineer is going to install a number of switches in...
Problem 1 Version 1 1. An engineer is going to install a number of switches in a component. Suppose that the probability that a switch successfully connects is .90 and assume that they successfully connect independently. (a) (4 points) If 10 switches are installed, what is the probability that exactly 8 of them connect successfully? (b) (6 points) Suppose a circuit of 4 switches is constructed so that the component will function if switch 1 connects successfully and switch 2...
Suppose that 20% of all copies of a particular textbook fail a certain binding strength test....
Suppose that 20% of all copies of a particular textbook fail a certain binding strength test. Let X denote the number among 15 randomly selected copies that fail the test. o a. Is this a binomial setting? b. Determine the probability distribution of X. What is the probability that exactly 8 fail the test? d. What is the probability that at least 14 fail the test? e. What is the probability that between 4 and 7, inclusive fail the test?...
(d) What is the probability that at least two players receive exactly two hearts? 7. A...
(d) What is the probability that at least two players receive exactly two hearts? 7. A hand of 6 cards is drawn from a standard 52 card deck. (a) What is the probability of getting three different pairs? (ex: aabbcc) (b) What is the probability of getting two pairs? (ex: aabbcd) (c) What is the probability of getting three of a kind? (ex: aaabcd) (d) What is the probability of getting all cards with the same suit? 8. A bag...
Chapter 5: Discussions 1. Scheduling Employees: Suppose you own a catering company. You hire temporary employees...
Chapter 5: Discussions 1. Scheduling Employees: Suppose you own a catering company. You hire temporary employees to act as servers from the local college. Not being the most reliable employees, there is an 80% chance that any one server will actually show up for a scheduled event. For a wedding scheduled on a given Saturday you need at least 5 servers. (a) Suppose you schedule 5 employees, what is the probability that all 5 come to work? (b) Suppose you...
A shelter has 24 dogs up for adoption. Suppose you want to adopt 2 of them....
A shelter has 24 dogs up for adoption. Suppose you want to adopt 2 of them. How many different ways could you choose 2 dogs from the 24? We are interested in analyzing data from bike sharing in LA. Use O to denote a one-way route and A to denote an annual pass. The probability that someone has a one-way trip route is 84.74%. The probability that they have an annual pass is 2.77%. The probability that they have an...
(Must draw out the Venn Diagram and show all work for full credit.) Suppose that A,...
(Must draw out the Venn Diagram and show all work for full
credit.)
Suppose that A, B, and C are events such that PA-PB0.3, PC 0.55, PIAnB For each of the events given below in parts (a)-(d), do the following: (i) Write a set expression for the event. (Note that there are multiple ways to write this in many cases.) (ii) Evaluate the probability of the event. Hint: Draw the Venn Diagram. You may then want to identify the probabilities...
i want part E. exactly 7 residents. i couldnt fit in one picture. 2. It has...
i want part E. exactly 7 residents. i couldnt fit in one
picture.
2. It has been estimated that only about 30% of California residents have adequate earthquake supplies. Suppose you randomly survey 14 California residents. We are interested in the number who have adequate earthquake supplies. a. Choose the appropriate random variable X. [5pts] A. the number of earthquakes in CA B. the number of people in CA C. the cost for all the earthquake supplies in CA number...
(18 %) Problem 3: west of north Suppose you walk 11 m in a direction exactly...
(18 %) Problem 3: west of north Suppose you walk 11 m in a direction exactly 25° south of west then you walk 18 m in a direction exactly 44° 25% Part (a) How far are you from your starting point in m? R- 19.26 X Attempts Remain × 25% Part (b) What is the angle of the compass direction of a line connecting your starting point to your final position measured North of West in degrees? Grade Summary Deductions...
Consider the population of all 1-gallon cans of dusty rose paint manufactured by a particular paint...
Consider the population of all 1-gallon cans of dusty rose paint manufactured by a particular paint company. Suppose that a normal distribution with mean μ = 6 ml and standard deviation σ = 0.2 ml is a reasonable model for the distribution of the variable x = amount of red dye in the paint mixture. Use the normal distribution model to calculate the following probabilities. (Round your answers to four decimal places.) (b) P(x < 6.2)= (d) P(5.6 < x...
One personality test available on the World Wide Web has a subsection designed to assess the...
One personality test available on the World Wide Web has a subsection designed to assess the "honesty" of the test-taker. After taking the test and seeing your score for this subsection, you're interested in the mean score l among the general population on this subsection. The website reports that u is 145, but you believe that u is greater than 145. To do a statistical test, you choose a random sample of 100 people and have them take the personality...
Problem 1 Version 1 1. An engineer is going to install a number of switches in a component. Suppose that the probability that a switch successfully connects is .90 and assume that they successfully connect independently. (a) (4 points) If 10 switches are installed, what is the probability that exactly 8 of them connect successfully? (b) (6 points) Suppose a circuit of 4 switches is constructed so that the component will function if switch 1 connects successfully and switch 2...
Suppose that 20% of all copies of a particular textbook fail a certain binding strength test. Let X denote the number among 15 randomly selected copies that fail the test. o a. Is this a binomial setting? b. Determine the probability distribution of X. What is the probability that exactly 8 fail the test? d. What is the probability that at least 14 fail the test? e. What is the probability that between 4 and 7, inclusive fail the test?...
(d) What is the probability that at least two players receive exactly two hearts? 7. A hand of 6 cards is drawn from a standard 52 card deck. (a) What is the probability of getting three different pairs? (ex: aabbcc) (b) What is the probability of getting two pairs? (ex: aabbcd) (c) What is the probability of getting three of a kind? (ex: aaabcd) (d) What is the probability of getting all cards with the same suit? 8. A bag...
Chapter 5: Discussions 1. Scheduling Employees: Suppose you own a catering company. You hire temporary employees to act as servers from the local college. Not being the most reliable employees, there is an 80% chance that any one server will actually show up for a scheduled event. For a wedding scheduled on a given Saturday you need at least 5 servers. (a) Suppose you schedule 5 employees, what is the probability that all 5 come to work? (b) Suppose you...
(Must draw out the Venn Diagram and show all work for full
credit.)
Suppose that A, B, and C are events such that PA-PB0.3, PC 0.55, PIAnB For each of the events given below in parts (a)-(d), do the following: (i) Write a set expression for the event. (Note that there are multiple ways to write this in many cases.) (ii) Evaluate the probability of the event. Hint: Draw the Venn Diagram. You may then want to identify the probabilities...
i want part E. exactly 7 residents. i couldnt fit in one
picture.
2. It has been estimated that only about 30% of California residents have adequate earthquake supplies. Suppose you randomly survey 14 California residents. We are interested in the number who have adequate earthquake supplies. a. Choose the appropriate random variable X. [5pts] A. the number of earthquakes in CA B. the number of people in CA C. the cost for all the earthquake supplies in CA number...
(18 %) Problem 3: west of north Suppose you walk 11 m in a direction exactly 25° south of west then you walk 18 m in a direction exactly 44° 25% Part (a) How far are you from your starting point in m? R- 19.26 X Attempts Remain × 25% Part (b) What is the angle of the compass direction of a line connecting your starting point to your final position measured North of West in degrees? Grade Summary Deductions...
One personality test available on the World Wide Web has a subsection designed to assess the "honesty" of the test-taker. After taking the test and seeing your score for this subsection, you're interested in the mean score l among the general population on this subsection. The website reports that u is 145, but you believe that u is greater than 145. To do a statistical test, you choose a random sample of 100 people and have them take the personality...
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