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 distribution

0.25
0.20
Probability
0,15 -
0.10
0.05
0.00

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

Symmetric, single peak at 27 times, slightly skewed left, long tails and the correct option is C.

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

The distribution is skewed slightly to the left, but the skewness is not very pronounced. The distribution also has a single clear peak at T=27, which indicates that the most likely number of times the mower will start on the first push of the button in 30 uses is 27.

The distribution is not perfectly symmetric, but it is close enough to be considered roughly symmetric. This means that the probability of the mower starting on the first push of the button is roughly the same for all values of T that are close to 27.

The distribution is also not perfectly uniform, but it is close enough to be considered roughly uniform. This means that the probability of the mower starting on the first push of the button is roughly the same for all values of T.

Overall, the shape of the probability distribution in the image is roughly symmetric with a single peak at T=27 times.