Abag contains chips of which 27.5 percent are blue. a random sample of 5 chips will be selected one at a time and with replacement. what are the mean and standard deviation of the sampling distribution of the sample proportion of blue chips for samples of size 5 ?

Step-by-step explanation:

We know that the mean and standard deviation of the sampling distribution of the sample proportion() is given by :-

, where p= Population proportion and n = sample size.

Let p be the proportion of blue chips.

As per given , we have

p= 0.275

n= 5

Now , the mean and standard deviation of the sampling distribution of the sample proportion of blue chips for samples of size 5 will be :

Hence, the mean and standard deviation of the sampling distribution of the sample proportion of blue chips for samples of size 5 are :

The standard deviation and mean is

Given that ;

No. of blue chips contain in a bag = P = 27.5 % = 0.27

No. of chips random selected at a time with replacement = n = 5

We know that the mean and standard deviation of the sampling distribution of the sample proportion  (p) is given by :-

= p

    = 0.275

=

Where p= Population proportion and n = sample size.

Let p be the proportion of blue chips.

As per given , we have

p= 0.275

n= 5

=

= 0.1997

Now , the mean and standard deviation of the sampling distribution of the sample proportion  of blue chips for samples of size 5 will be :

Hence, the mean and standard deviation of the sampling distribution of the sample proportion of blue chips for samples of size 5 are :

For more details about standard deviation and mean click the link given below;

link

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

a

step-by-step explanation: