Search & Filtering
Suppose you are testing H0:p=0.45, H1:p>0.45. A random sample of 310 people produces a value of p ̂=0.465. Use α=0.05 to test this hypotheses
In a workshop, three robots, Q, R and S, are employed to make chairs
Robot Q makes 25% of the chairs
Robot R makes 45% of the chairs
The remaining chairs are made by Robot S
Evidence has shown that 2 percent of the chairs made by robot Q are defective, 3 percent of the chairs made by robot R, and 5 percent of the chairs made by robot S are defective
(a) Construct a tree diagram that illustrates all possible outcomes and probabilities
A chair is randomly selected.
(b) What is the probability that the chair that robot Q made is defective
(c) What is the probability of findings a broken chair
(d) Given that a chair is defective, what is the probability that it was not made by robot R
1)Exactly 3 who supports party A
2)More than 5 who supports party A
in a workshop, three robots, Q,R and S, are employed to make chairs
Robot Q makes 25% of the chairs
Robot R makes 45% of the chairs
The remaining chairs are made by Robot S
Evidence has shown that 2% of the chairs made by robot Q are defective, 3% of the chairs made by robot R, and 5% of the chairs made by robot S are defective.
(a) construct a tree diagram that illustrates all possible outcomes and possibilities?
A chair is randomly selected
(b) what is the probability that the chair that robot Q made is defective?
(c) what is the probability of finding a broken chair?
(d) given that a chair is defective, what is the probability that it was not made by robot R?
The table below shows the numbers of different types of power stations being operated in four countries.
Coal Nuclear Hydroelectric
China 38 10 68
Finland 2 2 x
Germany 32 23 7
Japan 4 21 63
(a) If a nuclear power station is selected at random, what is the probability that it was from Japan?
(b) If two power stations are selected from either China or Japan, what is the probability that none of them are coal-generated?
(c) Let PC and PH be the events “Power station is from China” and “The power station is hydroelectric”, respectively. How many hydroelectric power stations are there in Finland if PC and PH are independent events?
The system works if components A and B work or components C, D, and E work. Assume that the components fail independently with the following probabilities: P(A fails) = P(B fails) = 0.1 and P(C fails) = P(D fails) = P(E fails) = 0.2.
(a) What is the probability that the system works?
(b) Given that the system works, what is the probability that component A does not work? (c) Given the system does not work, what is the probability that component A also does not work?
. The Prior to medical visits, patients are asked to complete a self-administered medical history form. The time it takes each patient to complete the form is approximately normally distributed, with a mean of 12.4 minutes and a standard deviation of 2.1 minutes. a) What proportion of patients completes the medical history form in 10 minutes or less? b) What proportion of patients takes 20 minutes or more to complete the medical history form? c) What is the 90th percentile of the time to complete the medical history form
In a workshop, three robots, Q, R and S, are employed to make chairs
Robot Q makes 25% of the chairs
Robot R makes 45% of the chairs
The remaining chairs are made by Robot S
Evidence has shown that 2 percent of the chairs made by robot Q are defective, 3 percent of the chairs made by robot R, and 5 percent of the chairs made by robot S are defective
(a) Construct a tree diagram that illustrates all possible outcomes and probabilities
A chair is randomly selected.
(b) What is the probability that the chair that robot Q made is defective
(c) What is the probability of findings a broken chair
(d) Given that a chair is defective, what is the probability that it was not made by robot R
Tamara's mark is higher than 63% of the class. a) What percentile does she fall into? b) How many students score less than she does? c) What is Tamara’s score?
Below is a list of 30 marks: 74, 77, 35, 82, 91, 55, 56, 73, 72, 71 51, 99, 83, 78, 79, 62, 65, 56, 87, 88 39, 41, 93, 84, 75, 65, 67, 90, 80, 70 a) What percentile did someone who received a mark of 80 score in? b) What mark did someone receive who scored in the 73rd percentile?
