Questions

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15 questions · timed · auto-graded

Question 11 Mark
If the value of $z-$ score for $x=174$ is $1.2$, find the mean of the variable.
Answer
સ્વપ્રયત્ન
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Question 31 Mark
Find the area under the normal curve to the left of a perpendicular at $z=1.75$ for a standard normal variable.
Answer
સ્વપ્રયત્ન
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Question 41 Mark
The mean of normal variable is $125$ and the standard deviation is $17.$ Obtain the range of central $99 \%$ observations of this variable.
Answer
સ્વપ્રયત્ન
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Question 51 Mark
What percentage of observations of a normal variable are less than $\mu+1.96 \sigma$ ?
Answer
સ્વપ્રયત્ન
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Question 71 Mark
The median of a normal variable is $44.5$. If the value of its first quartile is $26.3$, find the value of its third quartile.
Answer
સ્વપ્રયત્ન
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Question 81 Mark
If the value of quartile deviation of a normal variable is $5 ,$ find the approximate value of its standard deviation.
Answer
સ્વપ્રયત્ન
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Question 111 Mark
For which value of $X$ will the function $f(x)$ of a normal distribution $N\left(\mu, \sigma^2\right)$ have maximum value ?
Answer
સ્વપ્રયત્ન
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Question 121 Mark
State the formula to convert a normal variable with parameters $\mu$ and $\sigma$ to the standard normal variable.
Answer
સ્વપ્રયત્ન
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Question 131 Mark
Write the probability mass function of a variable following normal distribution $N(100,16)$.
Answer
સ્વપ્રયત્ન
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Question 141 Mark
The probability mass function of a normal variable $X$ is as follows :
$ f(x)=\frac{1}{7 \sqrt{2 \pi}} e^{\frac{(x-35)^2}{98}}
$ State the parameters of the distribution.
Answer
સ્વપ્રયત્ન
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1 Marks Each - Statistics STD 12 Commerce Questions - Vidyadip