Question

A large jar contains 25% blue marbles. A sample contains 9 blue marbles, 15 red marbles, and 16 green marbles.

What is pˆ, the sample proportion of blue marbles?


Enter your answer, as a simplified fraction, in the box.

Answer 1

To find the probability of getting a blue jelly bean (P(B)), divide the number of blue jelly beans by the total number of jelly beans.

Step-by-step explanation:

In this problem, we have a jar of jelly beans that contains 22 red jelly beans, 38 yellow jelly beans, 20 green jelly beans, 28 purple jelly beans, 26 blue jelly beans, and some orange jelly beans. To find the probability of getting a blue jelly bean (P(B)), we need to divide the number of blue jelly beans by the total number of jelly beans.

Total Number of Jelly Beans = 22 + 38 + 20 + 28 + 26 + Orange Jelly Beans

P(B) = Number of Blue Jelly Beans / Total Number of Jelly Beans

P(B) = 26 / (22 + 38 + 20 + 28 + 26 + Orange Jelly Beans)

You will need to find the number of orange jelly beans to calculate P(B) as a simplified fraction. Unfortunately, we do not have enough information to determine the exact value of P(B).

Answer 2

Proportion of blue marbles in in sample = 9/40

Step-by-step explanation:

Total number of blue marbles in a jar is given by 25%

Lets find the probability of blue marble in the jar of the given sample:

Proportion of blue marbles in in sample = Total number of blue marbles in sample/ Total number of marbles in sample

Where

Total number of blue marbles in sample = 9

Total number of marbles in sample = 9 + 15 + 16

Total number of marbles in sample = 40

SO

Proportion of blue marbles in in sample = 9/40

or

Proportion of blue marbles in in sample = 9/40