1
GATE CE 2024 Set 2
MCQ (Single Correct Answer)
+2
-0.833

In a sample of 100 heart patients, each patient has 80% chance of having a heart attack without medicine X. It is clinically known that medicine X reduces the probability of having a heart attack by 50%. Medicine X is taken by 50 of these 100 patients. The probability that a randomly selected patient, out of the 100 patients, takes medicine X and has a heart attack is

A

40%

B

60%

C

20%

D

30%

2
GATE CE 2024 Set 1
Numerical
+2
-0

The return period of a large earthquake for a given region is 200 years. Assuming that earthquake occurrence follows Poisson’s distribution, the probability that it will be exceeded at least once in 50 years is ______________ % (rounded off to the nearest integer).

Your input ____
3
GATE CE 2022 Set 2
Numerical
+2
-0

A pair of six-faced dice is rolled twice. The probability that the sum of the outcomes in each roll equals 4 in exactly two of the three attempts is _________ (round off to three decimal places).

Your input ____
4
GATE CE 2017 Set 1
MCQ (Single Correct Answer)
+2
-0.6
For the function $$\,f\left( x \right) = a + bx,0 \le x \le 1,\,\,$$ to be a valid probability density function, which one of the following statements is correct?
A
$$a = 1,\,b = 4$$
B
$$\,a = 0.5,\,b = 1$$
C
$$a=0,$$ $$b=1$$
D
$$a=1,$$ $$b=-1$$
GATE CE Subjects
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