Biotechnology
GATE BT area:engineering-mathematics PYQs
Build your understanding with focused practice from past exam papers.
Questions 71–80 of 88. Imported answers require independent review unless marked reviewed.
Question 39
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The Laplace transform of the function
isYour answerChoose one option.
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A new game is being introduced in a casino. A player can lose Rs. 100, break even, win Rs. 100, or win Rs. 500. The probabilities (P(X)) of each of these outcomes (X) are given in the following table:
X (in Rs.) | -100 | 0 | 100 | 500 |
|---|---|---|---|---|
P(X) | 0.25 | 0.5 | 0.2 | 0.05 |
The standard deviation (σ) for the casino payout is Rs. ______ (rounded off to the nearest integer).
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∫ from −1 to 1 f(x) dx calculated using trapezoid rule for the values given in the table is ______ (rounded off to 2 decimal places).
x | −1 | −2/3 | −1/3 | 0 | 1/3 | 2/3 | 1 |
|---|---|---|---|---|---|---|---|
f(x) | 0.37 | 0.51 | 0.71 | 1.0 | 1.40 | 1.95 | 2.71 |
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 1
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Consider an unfair coin. The probability of getting heads is 0.6. If you toss this coin twice, what is the probability that the first or the second toss is heads?
Your answerChoose one option.
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Standard error is
Your answerChoose one option.
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Which one of the following is the solution for
, for values of
in the range of
?Your answerChoose one option.
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The determinant of the matrix
is ________Log in to check the answer
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The variable
has a standard normal distribution. If
, then
is equal to (up to two decimal places) ________Log in to check the answer
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Calculate the following integral (up to two decimal places)
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The probability distribution for a discrete random variable
is given below. | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| 0.3 | 0.4 | 0.2 | 0.1 |
The expectation value of
is (up to one decimal place)
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