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 3 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

Describe the shape of the probability distribution.
• The shape of the probability distribution is skewed
to the left with a single peak at T = 27 times.
• The shape of the probability distribution is Normally
distributed with a single peak at T = 27 times.
• The shape of the probability distribution is skewed
to the right with a single peak at T = 27 times.
The shape of the probability distribution is roughly
symmetric with a single peak at T = 27 times.
• The shape of the probability distribution is uniform
with a single peak at 7 = 27 times.

Answer 1

The shape of the probability distribution with a peak at T = 27 and most of the data on the left is skewed to the right.

Step-by-step explanation:

To describe the shape of the probability distribution for the number of times an "easystart" mower starts on the first push of the button, we should consider the peak of the distribution and the direction of any skew. Since the company claims that the probability the mower will start on any push is 0.9, after 30 uses we would expect a high number of successful first-push starts, which would peak near the high end of our range. If the peak is indeed at T = 27, then with most of the data on the left side of the peak and tailing off to the right, our distribution is likely to be skewed to the right. This right skew occurs because there's a lower probability of the mower starting fewer than 27 times on the first push. Thus, the correct description would be that the shape of the probability distribution is skewed to the right with a single peak at T = 27 times.