Question

1) The weights of a particular group of show dogs are normally distributed with a mean of 16.6 kg and astandard deviation of 2.2 kg. If a random show dog is selected from the group, what is the probability thatit would weigh less than 15.5 kg?

Answer 1

In order to determine the probability, first use the followinf formula to calculate the Z factorr:

`Z=(x-\mu)/(\sigma)`

where:

x: specific value from the data = 15.5 kg

σ: standard deviation = 2.2 kg

μ: mean = 16.6 kg

replace the previous values to find the Z factor:

Next, search the corresponding value of the probability in a table of Normal distribution.

The correspondinf value of the probability for Z = 0.5 is P = 19.15%

This can be noticed in the following graph.