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Based on the results of a survey, 45% of respondents said they like the idea of...

Based on the results of a survey, 45% of respondents said they like the idea of having their orders delivered by drones. Suppose 60 customers are sam[pled, let X be the number of customers who like the idea of their orders being delivered by drones.

a. Explain whether the conditions are met for the variable X to have binomial distributions

b. How many people would you expect to like the idea of drones delivering their orders?

c. What is the probability that 30 or fewer of them like the idea of drones delivering their orders?

Math   Statistics-And-Probability   
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Answer #1

a)

following conditions are satisfied by the given question so it is a binomial distribution those are

fixed number of trials( n= 60)

outcomes are two only.

probability of success is same in each trial.

the trials are independent.

b)

expected number of people = n*p = 60*0.45 = 27

c)

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