Problem

Based on a survey, assume that $37 \%$ 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 $q$. The value of $n$ is $\square$. (Type an integer or a decimal. Do not round.) The value of $x$ is $\square$. (Type an integer or a decimal. Do not round.) The value of $p$ is $\square$. (Type an integer or a decimal. Do not round.) The value of $q$ is $\square$. (Type an integer or a decimal. Do not round.)

Solution

Step 1 :This problem is a binomial distribution problem. In a binomial distribution problem, we have: $n$ which is the number of trials, $x$ which is the number of successful trials, $p$ which is the probability of success on each trial, and $q$ which is the probability of failure on each trial.

Step 2 :In this case, $n$ is the number of consumers randomly selected, which is 5.

Step 3 :$x$ is the number of consumers who are comfortable with delivery by drones, which is 3.

Step 4 :$p$ is the probability that a consumer is comfortable with delivery by drones, which is 37% or 0.37.

Step 5 :$q$ is the probability that a consumer is not comfortable with delivery by drones, which is 1 - $p$ = 1 - 0.37 = 0.63.

Step 6 :Final Answer: The value of $n$ is \(\boxed{5}\). The value of $x$ is \(\boxed{3}\). The value of $p$ is \(\boxed{0.37}\). The value of $q$ is \(\boxed{0.63}\).

From Solvely APP
Source: https://solvelyapp.com/problems/ukSblS5Eik/

Get free Solvely APP to solve your own problems!

solvely Solvely
Download