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Statistics 2 Marks Each

‘Board Question Paper : March 2022 · Gujarat Board (GSEB) STD 12 Commerce (GSEB - English Medium). 9 questions.

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9 questions · timed · auto-graded

Question 42 Marks
The mean and variance of a binomial distribution are $3.9$ and $2.73$ respectively. Find the number of Bernouli trials conducted in this distribution.
Answer
$13$
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Question 52 Marks
Find the probability of getting $D$ in the first place in all possible arrangements of cach and every letter of the word DHYAN.
Answer
$P ( A )=\frac{m}{n}=\frac{24}{120}=\frac{1}{5}$
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Question 72 Marks
The fitted regression line of $Y$ on $X$ is $\hat{y}=23.2-1.2 x$ and one of the observations used in fitting of the line is $(6,17)$. Find the error in estimating $Y$ for $X -6$.
Answer
$e=1$
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Question 82 Marks
If $n=10, \operatorname{Cov}(x, y)=-30$, S.D. of $X =5$. and variance of $Y =144$ then find Correlation Coefficient.
Answer
$0.5$
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Question 92 Marks
The wholesale price index numbers of the year $2020$ and $2021$ are found to be $150.2$ and $165.7$ respectively. Find the rate of inflation using index numbers of both the years.
Answer
$10.32 \%$
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2 Marks Each - Statistics STD 12 Commerce Questions - Vidyadip