In a certain state, 50 % of adults indicated that sausage is their favorite pizza. Suppose a simple random sample of adults in the state of size 23 is obtained and the number of adults who indicated that sausage is their favorite pizza was 17. What are values of the parameters n, p, and x in the binomial probability experiment?

Question

Mathematics

Lexie Orozco

30 January, 20:54

In a certain state, 50 % of adults indicated that sausage is their favorite pizza. Suppose a simple random sample of adults in the state of size 23 is obtained and the number of adults who indicated that sausage is their favorite pizza was 17. What are values of the parameters n, p, and x in the binomial probability experiment?

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Answers (1)

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Leonardo Ward · Answer 1

n = 23

x = 17

p = 0.50

Step-by-step explanation:

For a binomial experiment we have the following variables:

1) Number of trials or Sample size:

The number of trials is represented by n. In the given scenario 23 adults were asked about their favorite pizza, so the number of trials in this will be 23. Thus

n = 23

2) Number of success

The number of success is denoted by x. Number of success indicates that how many trials resulted in the favorable outcome. In the given case, choosing a sausage pizza is a success. Since 17 adults chose the sausage, so

x = 17

3) Probability of success on single trial

This is represented by p. It is stated that 50% adults say sausage is their favorite pizza. So,

p = 50% = 0.50