Biotechnology
GATE BT topic:probability-and-statistics PYQs
Build your understanding with focused practice from past exam papers.
Questions 11–19 of 19. Imported answers require independent review unless marked reviewed.
Question 24
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A normal random variable has mean equal to 0, and standard deviation equal to 3. The probability that on a random draw the value of this random variable is greater than 0 is ____________ (round off to 2 decimal places).
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The median value for the dataset (12, 10, 16, 8, 90, 50, 30, 24) is __________.
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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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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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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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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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The distribution of marks scored by a large class in an exam can be represented as a normal distribution with mean μ and standard deviation σ. In a follow-up exam in the same class, everyone scored 5 marks more than their respective score in the earlier exam. For this follow-up exam, the distribution of marks can be represented as a normal distribution with mean μ₂ and standard deviation σ₂. Which one of the following is correct?
Your answerChoose one option.
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For the probability density
, the integral
________.Log in to check the answer
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