MCQ 11 Mark
The binomial distribution has mean $5$ and variance $\frac{10}{7}$ . What will be the type of this distribution $?$
- A
- ✓
- C
- D
Nothing can be said about the distribution.
View full question & answer→MCQ 21 Mark
For which value of $x,$ the value of $p(x)$ of binomial distribution with parameters $n = 4$ and $p = \frac 12$ becomes maximum?
View full question & answer→MCQ 31 Mark
For a positive skewed binomial distribution with $n=10,$ which of the following values might be the value of mean?
View full question & answer→MCQ 41 Mark
For the probability distribution of a discrete random variable, $E(X)=5$ and $E\left(X^2\right)=35$. What will be the variance of this distribution?
View full question & answer→MCQ 51 Mark
Mean and variance of a discrete probability distribution are $3$ and $7$ respectively. What will be $E(X^2)$ for this distribution?
View full question & answer→MCQ 61 Mark
A random variable $X$ assumes the values $-2,0$ and $2$ only with respective probabilities $\frac{1}{5}, \frac{3}{5}$ and $k$. If $0$
- ✓
$\frac{1}{5}$
- B
$\frac{4}{5}$
- C
$\frac{2}{5}$
- D
$\frac{3}{5}$
AnswerCorrect option: A. $\frac{1}{5}$
View full question & answer→MCQ 71 Mark
A random variable $X$ assume the values of $-1, 0$ and $1$ with respective probability $1/5, K$ and $1/3,$ where $0$
- A
$\frac{2}{5}$
- B
$\frac{3}{5}$
- ✓
$\frac{2}{15}$
- D
$\frac{3}{15}$
AnswerCorrect option: C. $\frac{2}{15}$
View full question & answer→MCQ 81 Mark
Which variable of the following will be an illustration of continuous variable?
- A
Number of accident occurring at any place
- B
Number of rainy days during a year
- ✓
Maximum temperature during a day
- D
Number of children in a family
AnswerCorrect option: C. Maximum temperature during a day
View full question & answer→MCQ 91 Mark
Which of the following is the formula of probability of an event of not getting a success in the binomial distribution with parameters $n$ and $p?$
- A
${ }^n C_0 p^n q^0$
- ✓
${ }^n C_0 p^0 q^n$
- C
${ }^n C_0 p^n$
- D
${ }^n C_0 p^n q$
AnswerCorrect option: B. ${ }^n C_0 p^0 q^n$
View full question & answer→MCQ 101 Mark
Which variable of the following will be an illustration of discrete variable?
- A
- B
- C
Blood Pressure of a student
- ✓
View full question & answer→MCQ 111 Mark
What is the value of Mean in accordance with its variance in binomial probability distribution?
MCQ 121 Mark
In a binomial distribution $n = 18$ and $p – q =\frac{1}{3}$ , than what is the value of standard deviation?
View full question & answer→MCQ 131 Mark
In a binomial distribution $np : npq = 8 : 7,$ than what is the value of $p?$
- A
$\frac{7}{8}$
- B
$\frac{7}{15}$
- ✓
$\frac{1}{8}$
- D
$\frac{8}{15}$
AnswerCorrect option: C. $\frac{1}{8}$
View full question & answer→MCQ 141 Mark
In a binomial distribution $n=10$ and $p=0.6$ than, what is the value of $p?$
- A
$6$
- ✓
$2.4$
- C
$4$
- D
$\sqrt{2.4}$
View full question & answer→MCQ 151 Mark
If in binomial distribution $p = q$ than what will be the type of this distribution?
View full question & answer→MCQ 161 Mark
In a binomial distribution $q – p = \frac{3}{5}$, then what is the type of skweness?
View full question & answer→MCQ 171 Mark
Parameters $P$ of a binomial random variance $X,$ if $4p+q=2,$ than what is the value of $p?$
- A
$\frac{1}{2}$
- ✓
$\frac{1}{3}$
- C
$\frac{4}{5}$
- D
$\frac{1}{5}$
AnswerCorrect option: B. $\frac{1}{3}$
View full question & answer→MCQ 181 Mark
In a binomial distribution $n = 8$ and $p =\frac{3}{5}$ , then what is the value of its variance$?$
- A
$4.8$
- B
$1.6$
- C
$1.92$
- ✓
$2.4$
View full question & answer→MCQ 191 Mark
In binomial distribution $n = 10$ and $q = \frac{4}{5}$, then what is the value of Mean?
View full question & answer→MCQ 201 Mark
In a binomial distribution if $n = 12$ and $1 – q = \frac{1}{4}$, then what is the value of mean?
View full question & answer→MCQ 211 Mark
The binomial distribution ha mean $6$ and variance $\frac{3}{7}$. What will be the type of this distribution?
View full question & answer→MCQ 221 Mark
For which of value of $x,$ the value of $p (x)$ of binomial distribution with parameters $n=5$ and $p = \frac{1}{3}$ becomes maximum?
View full question & answer→MCQ 231 Mark
For a negatively skewed binomial distribution with $n = 15,$ which of the following values might be the values of mean?
View full question & answer→MCQ 241 Mark
For a positively skewed binomial distribution with $n = 12$ which of the following values might be the value of mean?
View full question & answer→MCQ 251 Mark
For the probability distribution of a discrete random variable $E(X) = 4$ and $E(X^2) = 35,$ What will be the variance of this distribution?
View full question & answer→MCQ 261 Mark
Mean and variance of a discrete probability distribution are $4$ and $9$ respectively. What will be $E(X^2)$ for this distribution?
View full question & answer→MCQ 271 Mark
A random variable assumes the values of $0,1$ and $2$ with respective probability $\frac{15}{18}, K$ and $\frac{1}{6}$ , where $0 < K < 1$ then what is the value of $K?$
- A
$\frac{4}{9}$
- B
$\frac{6}{9}$
- ✓
$\frac{5}{9}$
- D
$\frac{8}{9}$
AnswerCorrect option: C. $\frac{5}{9}$
View full question & answer→MCQ 281 Mark
A random variable $X$ assumes the values $-4, 3$ and $10$ with respective probability $\frac{2}{5}, K$ and $\frac{1}{15}$ , where $0 < K < 1$ and $X$ does not assume any value other than these values. What will be the value of $E(X)?$
- ✓
$\frac{2}{3}$
- B
$\frac{2}{15}$
- C
$\frac{2}{5}$
- D
$\frac{3}{15}$
AnswerCorrect option: A. $\frac{2}{3}$
View full question & answer→MCQ 291 Mark
For which value of $P$ binomial probability distribution is symmetrical$?$
- A
$p = 0$
- B
$p > \frac{1}{2}$
- C
$p < \frac{1}{2}$
- ✓
$p = \frac{1}{2}$
AnswerCorrect option: D. $p = \frac{1}{2}$
View full question & answer→MCQ 301 Mark
If $p> \frac{1}{2}$ in a binomial distribution. What is the type of skewness?
View full question & answer→MCQ 311 Mark
If $p < \frac{1}{2}$ in a binomial distribution. What is the type of skewness?
View full question & answer→MCQ 321 Mark
Symbol of random variable $X$ which defines sample space is $X: U→R.$ If $U=\{HH, TH, HT, TT\}$ and $X$ is showing number of heads than what is the set for assume value of variable $X?$
- A
$\{0, 1\}$
- ✓
$\{0, 1, 2\}$
- C
$\{1, 2\}$
- D
$\{0, 2\}$
AnswerCorrect option: B. $\{0, 1, 2\}$
View full question & answer→MCQ 331 Mark
In a binomial probability distribution $p = q = \frac{1}{2}$, then what will be the type of this distribution?
View full question & answer→MCQ 341 Mark
What is the relation between values of mean and variance in binomial probability distribution?
- ✓
$npq < np$
- B
$npq > np$
- C
$npq = np$
- D
$np\neq pq$
AnswerCorrect option: A. $npq < np$
View full question & answer→MCQ 351 Mark
State the parameters of binomial probability distribution.
- A
$p$ and $q$
- B
$n$ and $q$
- ✓
$n$ and $p$
- D
$n, p$ and $q$
AnswerCorrect option: C. $n$ and $p$
View full question & answer→MCQ 361 Mark
What is the value of probability of success $P$ in binomial probability distribution $?$
- A
$1$
- B
$\geq^1$
- C
$\leq^1$
- ✓
Between $0$ and $1.$
AnswerCorrect option: D. Between $0$ and $1.$
View full question & answer→MCQ 371 Mark
What type of distribution is the binomial distribution?
MCQ 381 Mark
What is the probability of success in each trial of Bernoulli trials?
MCQ 391 Mark
State the interval of probability of success $P (S).$
- A
$(-1, 0)$
- B
$(-1, 1)$
- ✓
$(0, 1)$
- D
$(-3, 3)$
AnswerCorrect option: C. $(0, 1)$
View full question & answer→MCQ 401 Mark
If $P (S) = p$ and $P (F) = q,$ then what is the value of $p + q?$
- A
$0$
- B
Between $0$ and $1$
- ✓
$1$
- D
Between $-1$ and $1$
View full question & answer→MCQ 411 Mark
State the sample space associated with a dichotomous experiment.
AnswerCorrect option: A. $U = {S, F}$
View full question & answer→MCQ 421 Mark
What is the value of $\Sigma p(x)$ of probability distribution of continuous random variable of $P (x)?$
- A
$0$
- ✓
$1$
- C
$\geq 1$
- D
$\leq 1$
View full question & answer→MCQ 431 Mark
State the interval of probability $P(x)$ for the each value of $X$ in random variable $X?$
- A
Between $-1$ and $1$
- B
Between $-1$ and $0$
- ✓
Between $0$ and $1$
- D
Between $-3$ and $3$
AnswerCorrect option: C. Between $0$ and $1$
View full question & answer→MCQ 441 Mark
What is the symbol of probability distribution of a random variable $X?$
- A
$P(S)$
- B
$P(F)$
- ✓
$P(x)$
- D
$P(n)$
AnswerCorrect option: C. $P(x)$
View full question & answer→MCQ 451 Mark
Which of the following is a continuous random variable?
MCQ 461 Mark
Which of the following is not a discrete random variable?
MCQ 471 Mark
Which type of random variable is “Temperature of a place”?
- ✓
Continuous random variable
- B
- C
- D
AnswerCorrect option: A. Continuous random variable
View full question & answer→MCQ 481 Mark
While throwing a dice number getting on the top of the dice which type of random variable?
- A
Continuous random variable
- ✓
- C
- D
View full question & answer→MCQ 491 Mark
How many are the types of a random variable?
MCQ 501 Mark
Which variable of the following will be an illustration of continuous variable ?
- A
Number of accidents occurring at any place
- B
Number of rainy days during a year
- ✓
Maximum temperature during a day
- D
Number of children in a family
AnswerCorrect option: C. Maximum temperature during a day
View full question & answer→