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(November 1990), approximately 30% of all pipework
failures in chemical plants are caused by operator error.
(a) What is the probability that out of the next 20
pipework failures at least 10 are due to operator
error?
(b) What is the probability that no more than 4 out of
20 such failures are due to operator error?
(c) Suppose, for a particular plant, that out of the random sample of 20 such failures, exactly 5 are due
to operator error. Do you feel that the 30% figure
stated above applies to this plant? Comment.
to visit their facility after the president has fully lifted the restriction on public gathering in
2020 and as a follow- up, whether they in fact actually visited. Suppose that a sample of 1000
household was initially selected and the respondents were asked whether they planned to visit
GH HOTEL. Twelve months later the same respondents were asked whether they actually
visited the hotel. The results are summarized in the table below
Planned to visit Yes No Total
Yes 200 50 250
No 100 650 750
Total 300 700 1000
i. Draw a tree diagram to represent the information in the table.
ii. Find the probability of selecting a respondent who actually visited GH HOTEL.
Interpret your answer in a simple single sentence.
iii. Find the probability of panned visit or actual visit.
iv. Calculate the probability that a respondent actually visited GH HOTEL given that he
or she planned to visit GH HOTEL.
eight boys and three girls are to sit in row for a photograph.find the probability that no two girls are together
- The odds that a person A speaks the truth is 8:9 and the odds that person B speaks the truth is 5:7. In what percentage of cases are they likely to contradict each other on an identical pointÂ
How many tosses of a fair coin are needed so that the probability of getting atleast one head is 0.875?
The weight of competition pumpkins at the Circleville Pumpkin Show in Circleville, Ohio, can be represented by a normal distribution with a mean of 703 pounds and a standard deviation of 347 pounds.
a. Find the probability that a randomly selected pumpkin weighs at least 1,622 pounds.
b. Find the probability that a randomly selected pumpkin weighs between 465.1 and 1,622
pounds.
From a lot of 10 missiles, 4 are selected at random and fired. If a lot contains 3 defective missiles that will not fire, what is the probability that :
i) All 4 will fire.
ii) At most 2 will not fire.
iii) How many defective missiles might we expect to be included among the 4 that are selected.
#339914 on Dec 2023