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The average of marks scored by 32 boys is 72 with standard deviation 8 while that of 36 girls is 70 with standard deviation.
engineering mathematics updated 9.4 years ago by teamques10 ★ 70k
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In sampling a large number of parts manufactured by a machine, the mean number of defectives in a sample of 20 is 2.
engineering mathematics updated 9.4 years ago by teamques10 ★ 70k
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If the heights 500 students is normally distributed with mean 68 inches and Standard deviation of 4 inches
engineering mathematics updated 9.4 years ago by teamques10 ★ 70k
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A random sample of 150 items gives the mean 6.2 and standard deviation 10.24, can it be regarded as drawn from a normal population with mean 5.4 at 1% level of significance?
engineering mathematics updated 9.4 years ago by teamques10 ★ 70k
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The number of car accidents in a metropolitan city was found to be $20, 17, 12, 6, 7, 15, 8, 5, 16$ and $14$ per month respectively.
engineering mathematics updated 9.4 years ago by teamques10 ★ 70k
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The average of marks scored by 32 boys is 72 with standard deviation 8 while that of 36 girls is 70 with standard deviation 6.
engineering mathematics updated 9.4 years ago by teamques10 ★ 70k
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The mean inside diameter of a sample of $200$ washers produced by a machine is $0.502$ cm and the standard deviation is $0.005$ cm.
engineering mathematics updated 9.4 years ago by teamques10 ★ 70k
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A machine is claimed to produce nails of mean length 5 cm. And standard deviation of $0.45$ cm. A random sample of $100$ nails gave $5.1$ cm as average length.
engineering mathematics updated 9.4 years ago by teamques10 ★ 70k
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The regression lines of a sample are $x + 6y = 6$ and $3x+ 2y = 10.$ Find (1) mean of x and y and (2) coefficient of correlation between x and y.
engineering mathematics updated 9.4 years ago by teamques10 ★ 70k
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If the first four moments of a distribution about the value 4 of the random variable are $-1.5, 1.7, -30$ and $108$ then find first four raw moments.
engineering mathematics updated 9.4 years ago by teamques10 ★ 70k
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A total of $3759$ individuals were interviewed in a public opinion survey on a political proposal. OF them, $1872$ were men and the rest were women.
engineering mathematics updated 9.4 years ago by teamques10 ★ 70k
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Find the moment generating functions of poisson distribution and hence find mean and variance.
engineering mathematics updated 9.4 years ago by teamques10 ★ 70k
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In a competitive examination, the top $15\%$ of the students appeared will get grade 'A', while the bottom $20\%$ will be declared fail.
engineering mathematics updated 9.4 years ago by teamques10 ★ 70k
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Fit a Poisson distribution to the following data
engineering mathematics updated 9.4 years ago by teamques10 ★ 70k
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Calculate the coefficient of correlation from the following data
engineering mathematics updated 9.4 years ago by teamques10 ★ 70k
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The probability density function of a random variable x is
engineering mathematics updated 9.4 years ago by teamques10 ★ 70k
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Find the M. G. F. Of the following distribution.
engineering mathematics updated 9.4 years ago by teamques10 ★ 70k
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A die was thrown $132$ times and the following frequencies were observed.
engineering mathematics updated 9.4 years ago by teamques10 ★ 70k
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Ten individuals are chosen at random from a population and their heights are found to be $63, 63, 64, 65, 66, 69, 69, 70, 70, 71$ inches.
engineering mathematics updated 9.4 years ago by teamques10 ★ 70k
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Find all moment generating function of Binomial distribution and hence find mean variance.
engineering mathematics updated 9.4 years ago by teamques10 ★ 70k
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A continuous random variable X has the following probability law $F(x) = kx^2e^{-x}, x\geq 0$. Find k, mean and variance.
engineering mathematics updated 9.4 years ago by teamques10 ★ 70k
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If two independent random samples of sizes 15 & 8 have respectively the mean and population standard deviations as
engineering mathematics updated 9.4 years ago by teamques10 ★ 70k
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The regression line of a sample are $x + 6y = 6$ and $3x + 2y = 10$ find a) sample means b) coefficient of correlation between x and y.
engineering mathematics updated 9.4 years ago by teamques10 ★ 70k
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In an experiment on immunization of cattle from Tuberculosis the following results were obtained
engineering mathematics updated 9.4 years ago by teamques10 ★ 70k
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Calculate the correlation coefficient from the following data:
engineering mathematics updated 9.4 years ago by teamques10 ★ 70k
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