18 Questions
What is the probability of getting exactly one success in 4 trials if the probability of success is 3/4?
9/32
If the probability of getting exactly 2 successes in 5 trials is 0.48, what is the probability of success in each trial?
0.4
A fair coin is tossed 5 times. What is the expected number of heads?
2.5
If the probability of getting exactly 3 successes in 5 trials is 0.32, what is the probability of getting exactly 2 successes in 5 trials?
0.24
What is the variance of a binomial distribution with 10 trials and probability of success 0.7?
2.1
If the probability of getting exactly one success in 4 trials is 0.27, what is the probability of getting exactly 2 successes in 4 trials?
0.48
What is the percentage of data that falls within 2 standard deviations of the mean in a normal distribution?
95%
What is the formula for the standardized normal probability density function?
1/(2π) * e^(-Z^2/2)
What is the value of the integral of the normal distribution from μ-σ to μ+σ?
0.68
If a random variable X follows a normal distribution with a mean of μ and a standard deviation of σ, what is the formula for the Z-score?
Z = (X - μ)/σ
What is the percentage of GATE scores that are between 400 and 600, assuming the scores follow a normal distribution with a mean of 500 and a standard deviation of 50?
95%
What is the formula for the variance of a normal distribution?
σ^2
If the probability of a bomb striking a target is 0.4, what is the probability that exactly 2 out of 6 bombs will strike the target?
0.31104
In a Poisson distribution, if the probability of getting no misprint in a page of a book is exp(-4), what is the expected value of misprints in a page?
4
If six coins are tossed 6400 times using a binomial distribution, what is the approximate probability of getting six heads at least 10 times?
0.1053
In a binomial distribution, if the probability of success is 0.6, what is the probability of at least 2 successes in 5 trials?
0.6630
If two events A and B are independent, what is the probability of both events occurring?
P(A) × P(B)
If the probability of a page containing more than two misprints is 0.9084, what is the probability of a page containing exactly 2 misprints?
0.1435
Test your understanding of the normal distribution, its mean, variance, and standard deviation. Learn how to calculate these parameters and understand the properties of the normal curve.
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