Answer:
f(8)=20..The answer is 8 :)
Lo siento is a Spanish word for sorry.
Answer:
Step-by-step explanation:
the answer to number 7 is 1953152
Answer:
P(X < 3) = 0.7443
Step-by-step explanation:
We are given that the random variable X has a binomial distribution with the given probability of obtaining a success. Also, given n = 6, p = 0.3.
The above situation can be represented through Binomial distribution;
![P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....](https://tex.z-dn.net/?f=P%28X%3Dr%29%20%3D%20%5Cbinom%7Bn%7D%7Br%7Dp%5E%7Br%7D%20%281-p%29%5E%7Bn-r%7D%20%3B%20x%20%3D%200%2C1%2C2%2C3%2C.....)
where, n = number of trials (samples) taken = 6
r = number of success = less than 3
p = probability of success which in our question is 0.3.
LET X = a random variable
So, it means X ~ ![Binom(n=6, p=0.3)](https://tex.z-dn.net/?f=Binom%28n%3D6%2C%20p%3D0.3%29)
Now, Probability that X is less than 3 = P(X < 3)
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)
= ![\binom{6}{0}0.3^{0} (1-0.3)^{6-0}+ \binom{6}{1}0.3^{1} (1-0.3)^{6-1}+ \binom{6}{2}0.3^{2} (1-0.3)^{6-2}](https://tex.z-dn.net/?f=%5Cbinom%7B6%7D%7B0%7D0.3%5E%7B0%7D%20%281-0.3%29%5E%7B6-0%7D%2B%20%5Cbinom%7B6%7D%7B1%7D0.3%5E%7B1%7D%20%281-0.3%29%5E%7B6-1%7D%2B%20%5Cbinom%7B6%7D%7B2%7D0.3%5E%7B2%7D%20%281-0.3%29%5E%7B6-2%7D)
=
= 0.11765 + 0.30253 + 0.32414 = 0.7443
Therefore, P(X < 3) = 0.7443.
Answer:
0.9940
Step-by-step explanation:
P(at least 1) = 1 − P(zero)
P(at least 1) = 1 − (1 − 0.64)⁵
P(at least 1) = 1 − (0.36)⁵
P(at least 1) = 0.9940