Mathematics: Based on a survey, assume that 43% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when five consumers are randomly selected, exactly three of them are comfortable with delivery by drones. Identify the values of n, x, p, and q.

Idk tbh with you but maybe because it makes more sense...

Based on a survey, assume that 43% of consumers

tobydeathstirke

20.01.2022

The probability that exactly three of them are comfortable with delivery by drones is 0.2583.

Step-by-step explanation:

Let X = number of consumers comfortable having drones deliver their purchases.

The probability of the random variable X is, P (X) = p = 0.43.

Then q is, q = 1 - p

A sample of n = 5 consumers are selected.

The random variable X follows a Binomial distribution with parameters n and p.

The pmf of X is:

$P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0,1,2,3...$

Compute the value of P (X = 3) as follows:

$P(X=3)={5\choose 3}0.43^{3}(1-0.43)^{5-3}\\=10\times 0.079507\times 0.3249\\=0.258318\\\approx0.2583$

Thus, the probability that exactly three of them are comfortable with delivery by drones is 0.2583.

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