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Questions and Answers
What is the probability that a manufacturer X's item is not defective?
What is the average number of defective items in a batch of 10 items from manufacturer X?
What is the probability that the car distributor in City Y sells exactly two cars on a randomly selected day?
If the car distributor in City Y sells no cars on a day, what is the probability that they will sell at least one car on the next day?
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What is the probability that the car distributor in City Y sells more than two cars on a randomly selected day?
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What is a disadvantage of not conducting a census?
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In stratified random sampling, what is the first step?
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What is the probability of a sample proportion falling within a certain range, given a true population proportion?
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What is the probability of getting a certain number of heads in a fixed number of attempts with a fair coin?
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What is the probability that Mr. X answers a question correctly, given that he answers randomly?
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Study Notes
Probability and Statistics
- The probability that X gets at least 10 marks is 0.9997.
- On average, 5% of items supplied by manufacturer X are defective.
Binomial Distribution
- The probability that 2 items are defective in a batch of 10 items is 0.075.
Poisson Distribution
- A car distributor in City Y experiences an average of 2.5 car sales daily.
- The probability that on a randomly selected day, they will sell 5 cars is 0.0668.
- The probability that on a randomly selected day, they will sell no cars is 0.082.
- The probability that on a randomly selected day, they will sell at most 2 cars is 0.544.
- The probability that on a randomly selected day, they will sell exactly one car is 0.205.
Survey Research
- One should not go for sampling because none of the above reasons (less costly, comfortable with the sample, destructive research process) are correct.
- Stratified random sampling is a method of selecting a sample in which the population is first divided into strata, and then random samples are drawn from each stratum.
Sampling Distribution
- If the true proportion of customers who are below 20 years is P=0.35, the probability that a sample size of 100 yields a sample proportion between 0.3 to 0.4 is 0.706.
Binomial Distribution (Coin Toss)
- The probability of getting 12 heads in 20 attempts from a fair coin is 0.120.
Multiple-Choice Questions
- A question paper contains 90 multiple-choice questions, each correct answer carries 1 mark, and there are 4 alternative answers (A, B, C, or D), of which only one is correct.
- Mr. X answers these questions randomly (i.e., without preparation).
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Description
Test your knowledge on sampling methods with this quiz. Learn about the reasons for not going for sampling and the concept of stratified random sampling.
