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Statistics 2 Marks Each

PART 2 : RANDOM VARIABLE ANE DISCRETE PROBABILITY DISTRIBUTION · Gujarat Board (GSEB) STD 12 Commerce (GSEB - English Medium). 11 questions.

Questions

2 Marks Each

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11 questions · timed · auto-graded

Question 12 Marks
To earn more profit, an airline company wants to know how many seats to be assigned for customers going for last minute booking. The probability distribution of last minute demand of seats is as follows. Find the expected demand of such seats.
Demand of seats $0$ $1$ $2$ $3$ $4$
Probability $0.2$ $0.2$ $0.3$ $0.2$ $0.1$
Answer
$1.8$
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Question 22 Marks
A survey conducted to know the use of internet banking among people shows that only $20 \%$ persons wse internet banking. Find the probability that $3$ persons in a sample of $8$ persons would not be using internet banking.
Answer
$0.0092$
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Question 32 Marks
Before selecting a lot, a customer selects $3$ items from it and accepts the lot if none of the items are defective among them. If the proportion of defective items in the production process is $5 \%$, find the probability that the customer will accept the lot.
Answer
$0.8574$
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Question 42 Marks
The probability that a $60 -$year old person from an area will live for another $10$ years is $0.6$. Find the probability that $4$ persons in a sample of $6$ persons aged $60$ years will live for another $10$ years$-$
Answer
$0.311$
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Question 52 Marks
$20 \%$ of the students studying $M, B, A.$ in an institute are married. If $4$ students are randomly selected from this institute, find the probability that at least $1$ student among them is married.
Answer
$0.5904$
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Question 62 Marks
Find the probability of success for a binomial distribution with $n-3$ and $p(0)=\frac{8}{125}$.
Answer
$\frac{3}{5}$
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Question 82 Marks
A box contains tickets bearing numbers $1,1,1,2,2$. If $2$ tickets are selected without replacement from it, find the probability distribution of sum of numbers on them.
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Question 92 Marks
$2$ English and $8$ Gujarati books are kept in a box. If $3$ books are randomly selected from it, find the probability distribution for the number of Gujarati books selected from it.
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Question 102 Marks
The probability distribution of a random variable $X$ is as follow $ p(x) =k \cdot 2^x, \text { where } x=-1,0,1$
$ =\frac{k}{2} \text { where } x=2 $ Find the value of $k$.
Answer
$\frac{1}{4}$
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2 Marks Each - Statistics STD 12 Commerce Questions - Vidyadip