Question

A company has developed an "easystart" mower that cranks the engine with the push of a button. The company claims that the probability the mower will start on any push of the button is 0.9. Assume for now that this claim is true. On the next 30 uses of the mower, let T- the number of times it starts on the first push of the button. Here is a histogram of the probability

Describe the shape of the probability distribution
.
A)The shape of the probability distribution is skewed to the left with a single peak at T = 27 times.

B)The shape of the probability distribution is Normally distributed with a single peak at T = 27 times.

C)The shape of the probability distribution is skewed to the right with a single peak at T = 27 times.

D)The shape of the probability distribution is roughly symmetric with a single peak at T = 27 times.

E)The shape of the probability distribution is uniform with a single peak at 7 = 27 times.
10

Answer 1

Based on the claim that the 'easystart' mower has a 0.9 probability of starting on the first push, the probability distribution is skewed to the left with a single peak at T = 27 times.

Step-by-step explanation:

If the company's claim is true that the probability the mower will start on any push of the button is 0.9, we would expect most attempts (27 out of 30) to be successful. Given that most of the attempts are successful, with only a small probability (0.1) for failure, the shape of the probability distribution tends to show a high peak at 27 times it starts on the first push of the button, which suggests a strong likelihood of starting most of the time.

The sharp decline in the probability of a higher number of failed starts should lean the distribution to the left of the peak, indicating that the probability distribution is skewed to the left. Therefore, the correct answer from the options provided would be: A) The shape of the probability distribution is skewed to the left with a single peak at T = 27 times.