Answer:
a. 0.114
b. 0.005
c. 0.381
d. 0.00
Step-by-step explanation:
If x follows a hypergeometric distribution, the probability that x is equal to k is calculated as:
Where k≤r and n-k≤N-r, Additionally:
So, replacing N by 10, n by 4 and r by 6, we get:
Then, the probability that x is equal to 1, P(x=1) is:
The probability that x is equal to 0, P(x=0) is:
The probability that x is equal to 3, P(x=3) is:
Finally, in this case, x can take values from 0 to 4, so the probability that x is greater or equals to 5 is zero.