contestada

Fifty-five percent of the applications received for a particular credit card are accepted. among the next twelve applications, what is the probability that all will be rejected?

Respuesta :

The probability would be 0.00007.

The probability that an applicant is rejected is given by 1-0.55 = 0.45.

The probability that all 12 of the next applicants are rejected is given by:
0.45^12 = 0.00007.
JeanaShupp

Answer: 0.00007

Step-by-step explanation:

The binomial distribution formula :-

P(X)=^nC_xp^x(1-p)^{n-x}, P(X) is the probability of getting success in x trials , n is total n umber of trials and p is the probbaility of getting success in each trial.

Given : The probability that the applications received for a particular credit card are accepted = 0.55

The number of applications : n= 12

Then , the probability that all will be rejected (i.e. none of them will be accepted):-

[tex]P(0)=^{12}C_{0}(0.55)^{0}(0.45)^{12}=(0.45)^{12}=0.00006895252355\approx0.00007[/tex]

Hence, the probability that all will be rejected = 0.00007

Otras preguntas