Advertisements
Advertisements
Question
If X ~ B`(20, 1/10)`, then E(X) = ______
Options
2
5
4
3
Solution
If X ~ B`(20, 1/10)`, then E(X) = 2.
Explanation:
X ~ B`(20, 1/10)` .....(Given)
∴ n = 20, p = `1/10`
E(X) = np
= `20 xx 1/10`
= 2.
APPEARS IN
RELATED QUESTIONS
Given X ~ B(n, p) if p = 0.6 and E(X) = 6, find n and Var(X).
Given X ~ B(n, P) if n = 25 and E(X) = 10, find p and SD(X).
Given X ~ B(n, P) if n = 10, E(X) = 8, find Var(X).
If a fair coin is tossed 10 times and the probability that it shows heads in the first four tosses and tail in last six tosses.
Solve the following problem :
Let X ∼ B(10,0.2). Find P(X = 1)
Solve the following problem :
Let X ∼ B(10,0.2). Find P(X ≥1)
Solve the following problem :
Let X ∼ B(10,0.2). Find P(X ≤ 8).
If X ~ B(n, p), E(X) = 12, V(X) = 4, then find n
A Fair coin is tossed 5 times, find the probability that coin shows exactly three times head
A fair coin is tossed 5 times, find the probability that no head
The probability that certain kind of component will survive a check test is 0.6. Find the probability that exactly 2 of the next 4 tested components survive
Find the probability of guessing correctly at least nine out of ten answers in a "true" or "false" objective test
A fair coin is tossed 8 times. Find the probability that it shows heads exactly 5 times
A fair coin is tossed 8 times. Find the probability that it shows heads at least once
The probability that a person who undergoes a kidney operation will be recovered is 0.5. Find the probability that out of 6 patients who undergo similar operation none will recover
The probability that a person who undergoes a kidney operation will be recovered is 0.5. Find the probability that out of 6 patients who undergo similar operation half of them recover.
When n is very large and p is very small in the binomial distribution, then X follows the Poission distribution with prameter m = ______
State whether the following statement is True or False:
If X ~ B(n, p) and n = 6 and P(X = 4) = P(X = 2), then p = `1/2`
If the standard deviation of the random variable X is `sqrt(3"pq")` and mean is 3p then E(x2) = _______.
Let X – B (n = 7, p = 0.5). Then P(X = 2) is ______.
lf X: is number obtained on upper most face when a fair coin is thrown then E(x) = ______.
In a binomial distribution n = 5, P(X = 1) = 0.4096 and P(X = 2) = 0.2048, then the mean of the distribution is equal to ______.
If X ∼ B(n, p) and if n = 10,p = 0.4 then E(x) = ______
The mean and variance of a random variable having a binomial distribution are 4 and 2 respectively, then P(X = 1) is ______.