There are 1000 pages in a book out of which 100 pages are defective. What is the
probability that out of first 50 pages 10 pages will be defective?
We assume a known probability distribution for this kind of problem. The population is big enough (100 pages). We can say that the number of defective pages is a random variable X. The probability of any randomly selected page being defective is equal and = 100/1000 = 0.1
In the first 50 pages, the expected number of defective pages is 50 * 0.1 = 5. Let X denote the number of defective pages in the first 50 pages.
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In a binomial distribution, the probability of success is
p = 2 / 5. Calculate the
probability that (5)
the number of successes in n = 6 trails is at least 3.
the number of successes in n = 6 trails is 5.
An insurance company insured 1000 scooter drivers, 3000 car drivers and 6000 truck
drivers. The probabilities that the scooter, car and truck drivers meet with an
accident, are 0.02, 0.04 and 0.25, respectively. One of the insured driver meets with
an accident. What is the probability that he is a (i) car driver; (ii) truck driver?
The monthly income (in Rs. Lakhs) of five employees in a company are as follows:
25, 20, 30, 15, 10. (i) List all possible samples (without replacement) of size 2 (ii)
Compute the mean of all samples and set up the sampling distribution of sample
mean.
There are 1000 pages in a book out of which 100 pages are defective. What is the
probability that out of first 50 pages 10 pages will be defective?
The frequency distribution of marks of 230 students in a statistics paper in a class is given below:
Class Interval Frequency
10 – 20 12
20 – 30 30
30 – 40 ?
40 – 50 65
50 – 60 ?
60 – 70 25
70 – 80 18
Total 230
Given that the median value of distribution is 46, determine the missing frequencies.
Write three advantages and three limitations of systematic sampling
A company appointed four salesman A, B, C and D and observed their sales in three
seasons – Summer, Winter and Monsoon. Test whether the average sales of the four
salesmen differ in amount (in Rs. Lakhs) as given below by one-way analysis of
variance (ANOVA) using observations after taking deviation from 30.
