ronaldotheexplorer12
26.08.2020 •
Mathematics
11.Avery and Bradly work at a large electronic manufacturer that produces DVD players. The defective rate on the assembly line has gone up 12% and the manager wants to know the probability that a skid of 50 DVD players will contain at least 3 defective units. Help Avery use the binomial distribution P(x)=n Cx p^x q^n-x to answer this question
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Ответ:
The probability that a skid of 50 DVD players will contain at least 3 defective units is 0.9487.
Step-by-step explanation:
We are given that Avery and Bradly work at a large electronics manufacturer that produces DVD players. The defective rate on the assembly line has gone up 12% and a skid of 50 DVD players has been selected by the manager.
Let X = Number of defective units of DVD players
The above situation can be represented through the binomial distribution;
where, n = number of samples (trials) taken = 50 DVD players
r = number of success = at least 3 defective units
p = probability of success which in our question is the probability
of defective rate, i.e; p = 12%
So, X ~ Binom(n = 50, p = 0.12)
Now, the probability that a skid of 50 DVD players will contain at least 3 defective units is given by = P(X 3)
P(X 3) = 1 - P(X = 0) - P(X = 1) - P(X = 2)
=
=
= 0.9487
Hence, the probability that a skid of 50 DVD players will contain at least 3 defective units is 0.9487.
Ответ:
2.) Negative because the ends of the graph both go to -infinity