Question

A company has developed an "easystart" mower that cranks the engine with the push of a button. The company claims that the E probability the mover will start on any push of the brution is D..Assume for now this listorm of the probatity distini

the mower, let T = the number of times it starts on the first push of the button. Here is a histogram of the probability distribution
0.25
0.20
Probability
0.15
0.10
0.05
0.00
0


Does Thave a binomial distribution? Justify your answer.
• No, this is not a binomial setting because the probability of success is not the same for each trial.
• No, this is not a binomial setting because the given scenario is not binary.
• No, this is not a binomial setting because the observations are not independent.
• Yes. Thas a binomial distribution with n = 30 and p = 0.90.
• No, this is not a binomial setting because the number of trials are not fixed in advance.

Answer 1

The correct option is: No, this is not a binomial setting because the given scenario is not binary.

In a binomial distribution, there are a fixed number of trials (n), each trial has only two possible outcomes (success or failure), and the probability of success (p) is the same for each trial. In this scenario, the outcome is whether the mower starts or not with the push of a button.

However, the information provided does not indicate that there are only two possible outcomes for each trial; it could start or not start, but there might be more possible outcomes or reasons for the mower not starting. Therefore, it does not meet the criteria for a binomial distribution.