Question

The last before maud gets home has a?

1) 44

3) incomplete information
4) missing value

Answer 1

The geometric distribution is used to determine the mean and standard deviation of the number of times Maud reaches the traffic light before stopping. The mean is 2.3 times, and the standard deviation is approximately 1.7 times.

Step-by-step explanation:

The problem deals with the concept of geometric distribution, which describes the number of trials needed for the first success in a series of independent and identically distributed Bernoulli trials. To find the mean (μ) and the standard deviation (σ) of the distribution, we can use the formulas specific to geometric distributions:

• μ = 1/p
• σ = √((1-p)/p²)

Given the probability of Maud encountering a green light is 44% (p = 0.44), we calculate the mean and standard deviation as follows:

• μ = 1/0.44 ≈ 2.3 times
• σ = √((1-0.44)/0.44²) ≈ 1.7 times

Thus, the mean number of times Maud reaches the light before stopping is 2.3 times, and the standard deviation is approximately 1.7 times.