Question
For a Binomial distribution, mean $=3$ and standard deviation $=\sqrt{2}$ Find its parameters and $P[X<2]$.
✓
Answer
$N =9, p =\frac{1}{3}, P[x<2]=\frac{11}{3}\left(\frac{2}{3}\right)^{8}=\frac{2816}{19683}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Find the values of the following: $\lim _{x \rightarrow 1} \frac{x^{2}+2 x-3}{x^{2}-1}$
→$11$ employees working in a company are busy wsing their smart phones during recess period.
Of them, $6$ employees are busy using application $W$ and the rest are busy using application
$F$. Two employees are selected at random from these employees with replacement. Find
probability that,
$(1)$ Both the employees are busy using application $W.$
$(2)$ One of those two employees is busy using application $F$.
→Of them, $6$ employees are busy using application $W$ and the rest are busy using application
$F$. Two employees are selected at random from these employees with replacement. Find
probability that,
$(1)$ Both the employees are busy using application $W.$
$(2)$ One of those two employees is busy using application $F$.
Ten students were ranked on the basis of their proficiency in sports and general knowledge. The rank correlation co-efficient obtained from the data was found to be $0.2.$ Later on it was noticed that the difference in the ranks of the two attrihutes for one of the student was taken as $3$ instcad of $2 .$ final the correct value of rank correlation coefficient.
→Seven employees are selected from a company. They are judged by two managers from the company in terms of their administrative skills. The ranks given by them are as follows.
Calculate the rank correlation coefficient between the judgments given by two managers.
Calculate the rank correlation coefficient between the judgments given by two managers.
$8$ workers are employed in a factory and $3$ of them are excellent in efficiency where as the rest of them are moderate in efficiency. $2$ workers are randomly selected from these $8$ workers. Find the probability that $(1)$ both the workers have excellent efficiency $(2)$ both the workers have moderate efficiency $(3)$ one worker is excellent and one worker is moderate in efficiency.
→$\lim _{x \rightarrow-2} \frac{x^9+512}{x+2}$
→Obtain the linear equation for trend for a Time Series with $n=8$, $\Sigma y=344, \Sigma t y=1342$.
→$25 \%$ adults in a city are known to be diabetic. If $4$ persons are selected from this city, find the probability that at the most $2$ persons among them are diabetic.
→Find the values of the following : $\lim _{x \rightarrow 1} \frac{3 x^{2}-4 x+1}{x-1}$
→If for an item $ 3∑p_1q_0 =4∑p_1q_1 = 1800 $ and $ 2∑p_0q_0=2.5∑p_0q_1=1000 $, find Laspeyre’s and Paasche’s index number.
→