1
MHT CET 2024 9th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

An urn contains nine balls of which three are red, four are blue and two are green. Three balls are drawn at random without replacement from the urn. The probability, that the three balls have different colours, is

A
$\frac{1}{3}$
B
$\frac{2}{7}$
C
$\frac{1}{21}$
D
$\frac{2}{23}$
2
MHT CET 2024 9th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

A random variable X takes values $-1,0,1,2$ with probabilities $\frac{1+3 \mathrm{p}}{4}, \frac{1-\mathrm{p}}{4}, \frac{1+2 \mathrm{p}}{4}, \frac{1-4 \mathrm{p}}{4}$ respectively, where p varies over $\mathbb{R}$. Then the minimum and maximum values of the mean of X are respectively.

A
$-\frac{7}{4}$ and $\frac{1}{2}$
B
$-\frac{1}{16}$ and $\frac{5}{16}$
C
$-\frac{7}{4}$ and $\frac{5}{16}$
D
$-\frac{1}{16}$ and $\frac{5}{4}$
3
MHT CET 2024 9th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If the mean and the variance of Binomial variate $X$ are 2 and 1 respectively, then the probability that X takes a value greater than or equal to one is

A
$\frac{1}{16}$
B
$\frac{9}{16}$
C
$\frac{3}{4}$
D
$\frac{15}{16}$
4
MHT CET 2024 4th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $\mathrm{P}(\mathrm{X}=2)=0.3, \mathrm{P}(\mathrm{X}=3)=0.4, \mathrm{P}(\mathrm{X}=4)=0.3$, then the variance of random variable X is

A
1.6
B
3.6
C
6.6
D
0.6
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