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BARC 2020: Engineering Mathematics Nuclear Quiz 1 (App update required to attempt this test)
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Question 1
Let X be the random variable. Consider the following table with the probability distribution values of X.
Find the value of P(X<4).Round upto two decimal places).
![](https://gradeup-question-images.grdp.co/liveData/PROJ4796/1495530632274437.png)
Find the value of P(X<4).Round upto two decimal places).
Question 2
Fifteen coupons are numbered, 1, 2, 3, ..... 15. Seven coupons are selected at random one at a time with replacement. The probability that the largest number appearing on the selected coupon is 9, is
Question 3
Match the following Lists.
List-I
A-
B-
C-
D-
List-II
1- Discrete distribution
2- Continuous distribution
List-I
A-
![](https://gradeup-question-images.grdp.co/liveData/PROJ433/1473762097869755.png)
B-
![](https://gradeup-question-images.grdp.co/liveData/PROJ433/1473762098850227.png)
C-
![](https://gradeup-question-images.grdp.co/liveData/PROJ433/1473762099668364.png)
D-
![](https://gradeup-question-images.grdp.co/liveData/PROJ433/1473762100504333.png)
List-II
1- Discrete distribution
2- Continuous distribution
Question 4
An urn contains 5 red and 7 green balls. A ball is drawn at random and its colour is noted. The ball is placed back into the urn along with another ball of the same colour. The probability of getting a red ball in the next drawn is
Question 5
A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
Question 6
If
, then the cofactor of element a31 is _______.
![](https://gradeup-question-images.grdp.co/liveData/PROJ5510/1497592067196413.png)
Question 7
The value of
![](https://gradeup-question-images.grdp.co/liveData/PROJ8723/1507718431608129.png)
Question 8
Let the function
is increasing for x>4
is decreasing for 0<x<4
Which of the above statements are TRUE?
![](https://gradeup-question-images.grdp.co/liveData/PROJ433/1473762062356982.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ433/1473762063190581.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ433/1473762064013259.png)
Which of the above statements are TRUE?
Question 9
If A and B are two 3x3 matrices and
&
, then find the value of![](https://gradeup-question-images.grdp.co/liveData/PROJ37442/1567418371683238.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ37442/1567418370220238.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ37442/1567418370963366.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ37442/1567418371683238.png)
Question 10
If E[X] = 5, what will be the value of E[4X+2]?
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Mar 7GATE & PSU CS