Respuesta :
Answer:
The appropriate probability model for X is a Binomial distribution,
X [tex]\sim[/tex] Bin (n = 5, p = 1/33).
Step-by-step explanation:
The random variable X can be defined as the number of American births resulting in a defect.
The proportion of American births that result in a birth defect is approximately p = 1/33.
A random sample of n = 5 American births are selected.
It is assumed that the births are independent, i.e. a birth can be defective or not is independent of the other births.
In this experiment the success is defined as a defective birth.
The random variable X satisfies all criteria of a Binomial distribution.
The criteria are:
- Number of observations is constant
- Independent trials
- Each trial has only two outcomes: Success and Failure
- Same probability of success for each trial
Thus, the appropriate probability model for X is a Binomial distribution, Bin (n = 5, p = 1/33).
Answer:
BINOMIAL DISTRIBUTION
Step-by-step explanation:
To find out 'x' successes out of 'n' trials, Binomial Distribution is used.
Success = Birth Defect ;
- Prob (success) = Prob (Birth defect) = 1/33 = 0.030
- Prob (no success) = Prob (no birth defect) = 1- 0.030 = 0.97
n = total trials = 5 births (given)
Let 'x' be the no. of successes (defective births) out of 5 ;
P(n, x) = nCx p^x (1 - p)^(n - x)
Eg, with given info :- P (5,x) = 5Cx. (0.030)^x. (0.97)^ (n-x)
