Answer:
P ( X < 4 ) = 0.1736706
Step-by-step explanation:
Given:
- A random variable X follows a binomial distribution as follows,
Where n = 8, and p = 0.6.
Find:
- P ( X < 4 )?
Solution:
- The random variable X follows a binomial distribution as follows:
X ~ B ( 8 , 0.6 )
- The probability mass function for a binomial distribution is given as:
pmf = n^C_r ( p )^r (1-p)^(n-r)
- We are asked to find P ( X < 4 ) which is the sum of following probabilities:
P ( X < 4 ) = P ( X = 0 ) + P ( X = 1 ) + P ( X = 2 ) + P ( X = 3 )
- Use the pmf to compute the individual probabilities:
P ( X < 4 ) = 0.4^8 + 8^C_1*(0.6)*(0.4)^7 + 8^C_2*(0.6)^2*(0.4)^6 + 8^C_3*(0.6)^3*(0.4)^5 .
P ( X < 4 ) = 6.5536*10^-4 + 7.86432*10^-3 + 0.04128768 +0.12386304
Answer: P ( X < 4 ) = 0.1736706
Answer:
A) 8.64 x 10^4
Step-by-step explanation:
4.8 * 3.6 / 2 = 8.64
10^6 * 10^3 / 10^5 = 10^(6 + 3 - 5) = 10^4
Answer: 8.64 * 10^4
Answer:
I got 58.5
I multiplied 3x9 to get 27
then 3x6 to get 18
then 3x9/2 to get 13.5 and added them all together.
Answer:
distribuive
Step-by-step explanation:
Answer:
Step-by-step explanation:
m∠1 = m∠2 {r ║s , so, corresponding angles are equal}
60 – 2x = 70 – 4x
4x - 2x = 70 -60
2x = 10
x = 10/2
x = 5