When employees with smart phones are randomly | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Let success be selecting a smart phone used for office purposes. Here,the probability of success $p = 50 \% = \frac{1}{2}$. The probability of fai

Vedclass · Accepted Answer

${ }^{10} C_2 \frac{1}{2^{10}}$

Vedclass · Answer

(A) Let success be selecting a smart phone used for office purposes. Here,the probability of success $p = 50 \% = \frac{1}{2}$. The probability of failure $q = 1 - p = 1 - \frac{1}{2} = \frac{1}{2}$. We have $n = 10$ trials and we want exactly $r = 2$ successes. Using the Binomial distribution formula $P(X = r) = { }^n C_r p^r q^{n-r}$: $P(X = 2) = { }^{10} C_2 \cdot (\frac{1}{2})^2 \cdot (\frac{1}{2})^{10-2}$ $P(X = 2) = { }^{10} C_2 \cdot (\frac{1}{2})^2 \cdot (\frac{1}{2})^8$ $P(X = 2) = { }^{10} C_2 \cdot (\frac{1}{2})^{10} = { }^{10} C_2 \frac{1}{2^{10}}$.

When employees with smart phones are randomly selected,$50 \%$ use them for office purpose. The probability that out of $10$ users exactly $2$ of them use for office purpose is

Similar Questions

In a binomial distribution $B(n, p = \frac{1}{4})$,if the probability of at least one success is greater than or equal to $\frac{9}{10}$,then $n$ is greater than:

If a dice is thrown $5$ times,then the probability of getting $6$ exactly three times is:

Given that the probability of a man hitting a target with a gun is $\frac{1}{3}$. If he fires $8$ times,then the probability of his hitting the target at least twice is

Consider the following events:
$E_1$: Six fair dice are rolled and at least one die shows six.
$E_2$: Twelve fair dice are rolled and at least two dice show six.
Let $p_1$ be the probability of $E_1$ and $p_2$ be the probability of $E_2$. Which of the following is true?

Let $X \sim B(n, p)$. If $E(X) = 2$ and $Var(X) = 1$, then the probability of getting at most one success is .....

Vedclass Test Series

Exam Paper Generator

Online Exam Module