Based on a​ survey, assume that 27​% of consumers are comfortable having drones

Cheyanne Leigh

Cheyanne Leigh

Answered question

2021-09-15

Assume that 27% of consumers are comfortable having drones deliver their items based on a poll. Let's say we want to determine the likelihood that, out of four randomly chosen consumers, exactly two are okay with drone deliveries. The values of n, x, p, and q should be known. n has a value of?

Answer & Explanation

Alannej

Alannej

Skilled2021-09-16Added 104 answers

Step 1
A binomial experiment is a discrete probability experiment which is repeated for a fixed number of trials, and each of the trial is independent of the other trial. The possible outcomes for each trail are two and they are defined as success (S) and failure (F).
Assume that the random variable X follows a binomial distribution with parameters n and p. So, the binomial probability is,
P(X=x)=nCx×px×qnx
Step 2
Here, x is the number of successes that results from the binomial experiment, n is the number of trials and p is the probability of success on an individual trial.
Step 3
The provided information are:
Number of trials (n)=4
Probability of success of each trial (p)=0.27
Probability of failure of each trial (q)=10.27=0.73
Number of successes (x)=2
Step 4
Consider, X be the random variable that represents the number of customers who are comfortable with delivery of their purchases by drones is binomially distributed.
The probability that exactly two of the customers are comfortable with delivery by drones can be computed as:
P(X=2)=4C2×0.272×0.7342
=6×0.0729×0.5329
=0.233

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