Probability Distributions MCQS 6

The post is about Probability distributions MCQs with Answers. There are 20 multiple-choice questions covering topics related to binomial, Poisson, exponential, normal, gamma, standard normal, hypergeometric, and bivariable distributions. Let us start with the quiz probability distributions MCQs with answers.

Probability Distributions MCQS with Answers

• The number of products manufactured in a factory in a day is 3500 and the probability that some pieces are defective is 0.55 then the mean of the binomial probability distribution is
• A bank received 2600 applications for a home mortgage. The probability of approval is 0.78 then the standard deviation of the binomial probability distribution is
• Consider probability distribution as standard normal, if the value of $\mu$ is 75, the value of $x$ is 120 with an unknown standard deviation of distribution then the value of z-statistic
• If the value of $x$ is less than $\mu$ of standard normal probability distribution then the
• Standard normal probability distribution has a mean equal to 40, whereas the value of random variable x is 80 and the z-statistic is equal to 1.8, the standard deviation of the standard normal probability distribution is
• In binomial distribution, the formula for calculating standard deviation is
• If the value of $p$ is smaller or lesser than 0.5 then binomial distribution is classified as
• The continuous Random variable $X$ has a gamma distribution with Parameters $\alpha$ and $\beta$. The special gamma distribution for which $\alpha = 1$ is called.
• The continuous random variable $X$ has a gamma distribution with parameters $\alpha$ and $\beta$. The special gamma distribution for which $\alpha=\frac{v}{2}$ and $\beta=2$ where $v$ is a +ve integer is called.
• For a normal distribution, the measure of kurtosis equals to
• A bivariate normal distribution has a number of parameters in it
• The moment generating function of Binomial distribution is
• If $Mean > Variance$ then the distribution is
• If $Mean = Variance$ the distribution is called
• The area under the normal curve with $\mu\pm 2\sigma$ is
• The maximum ordinate of the normal curve is at
• Which of the following is NOT an assumption of the Binomial distribution?
• The normal distribution will be less spread out when
• Let $X$ be a positive random variable and let a new random variable $Y$ be defined as $Y=log X$. If $Y$ has a normal distribution then $X$ is
• If in a Gamma density, $k=1$ the Gamma density becomes

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