Question

The probability that the mean diameter of a random sample of 90 shafts is less than 206.3 inches is approximately

ϕ(0.6), which corresponds to a probability of 0.7257.

What type of probability distribution is likely being used in this scenario?

A) Normal distribution
B) Binomial distribution
C) Poisson distribution
D) Exponential distribution

Answer 1

The type of probability distribution likely being used in this scenario is the Normal distribution (option A).

Step-by-step explanation:

The type of probability distribution likely being used in this scenario is the Normal distribution (option A).

The probability value ϕ(0.6) corresponds to a probability of 0.7257. The normal distribution, also known as the Gaussian distribution, is commonly used to model continuous random variables such as measurements that are subject to random variations. It is characterized by a bell-shaped curve.

In this case, the mean diameter of a random sample of 90 shafts follows a normal distribution, with a mean and standard deviation that can be calculated based on the given information.