| 221 |
A sum of money grows continuously so that dA/dt = 0.05A, with t in years. Approximately how long does it take… |
Mathematics/Applied Mathematics
Differential equations |
Hard |
| 222 |
For a random variable X with P(X = 0) = 1/4, P(X = 1) = 1/2 and P(X = 2) = 1/4, the value of E(X) is: |
Mathematics/Applied Mathematics
Random variables and expectation |
Easy |
| 223 |
A random variable has P(X = x) = kx for x = 1, 2, 3, 4. The value of k is: |
Mathematics/Applied Mathematics
Random variables and expectation |
Easy |
| 224 |
A game pays ₹10 with probability 0.2 and makes the player lose ₹2 with probability 0.8. The expected gain per… |
Mathematics/Applied Mathematics
Random variables and expectation |
Medium |
| 225 |
Two fair coins are tossed and X is the number of heads. The value of P(X ≥ 1) is: |
Mathematics/Applied Mathematics
Random variables and expectation |
Medium |
| 226 |
Two cards are drawn without replacement from a well-shuffled pack of 52. If X is the number of aces drawn, E(… |
Mathematics/Applied Mathematics
Random variables and expectation |
Hard |
| 227 |
If the variance of a random variable is 2.25, its standard deviation is: |
Mathematics/Applied Mathematics
Variance and standard deviation |
Easy |
| 228 |
For a constant random variable X = 7 (always), the variance of X is: |
Mathematics/Applied Mathematics
Variance and standard deviation |
Easy |
| 229 |
X takes the values 0, 1, 2 with probabilities 1/4, 1/2, 1/4. The variance of X is: |
Mathematics/Applied Mathematics
Variance and standard deviation |
Medium |
| 230 |
If Var(X) = 4, then Var(3X + 5) equals: |
Mathematics/Applied Mathematics
Variance and standard deviation |
Medium |
| 231 |
The variance of the score X obtained on one throw of a fair six-sided die is: |
Mathematics/Applied Mathematics
Variance and standard deviation |
Hard |
| 232 |
Which of these is NOT a condition for trials to be Bernoulli trials? |
Mathematics/Applied Mathematics
Binomial distribution |
Easy |
| 233 |
For a binomial distribution with n = 10 and p = 0.4, the variance is: |
Mathematics/Applied Mathematics
Binomial distribution |
Easy |
| 234 |
A fair coin is tossed 5 times. The probability of getting exactly 3 heads is: |
Mathematics/Applied Mathematics
Binomial distribution |
Medium |
| 235 |
A binomial distribution has mean 4 and variance 3. The number of trials n is: |
Mathematics/Applied Mathematics
Binomial distribution |
Medium |
| 236 |
A fair die is thrown 4 times. The probability of getting at least one six is: |
Mathematics/Applied Mathematics
Binomial distribution |
Hard |
| 237 |
For a Poisson distribution with parameter λ, which statement is true? |
Mathematics/Applied Mathematics
Poisson distribution |
Easy |
| 238 |
If X follows a Poisson distribution with mean 2, then P(X = 0) equals: |
Mathematics/Applied Mathematics
Poisson distribution |
Easy |
| 239 |
X follows a Poisson distribution with mean 3. The value of P(X = 2) is: |
Mathematics/Applied Mathematics
Poisson distribution |
Medium |
| 240 |
A machine produces defective items with probability 0.01. Using the Poisson approximation, the probability th… |
Mathematics/Applied Mathematics
Poisson distribution |
Medium |