Answer to Question #309760 in Statistics and Probability for Pasta

Question

Samples of three cards are drawn at random from a population of 7 seven cards numbered 1 – 7.

47 – 48. How many possible samples can be drawn?

49 – 58 . Construct the sampling distribution of the sample means.

Answer 1

Solutions

(a) The possible number of samples that can be drawn is

$\dbinom{7}{3}=\dfrac{7!}{3!(7-3)!}=35$

$=35$ Combinations

(b) Sampling distribution of the sample means