Suppose the dealer incentive per vehicle for honda's acura brand in 2012 is thought to be bell-shaped and symmetrical with a mea

I aim to achieve the highest rank.

Answer:

The likelihood of selecting an individual with high blood pressure who is also a runner is 2/3.

Step-by-step explanation:

Based on the data provided:

P( Choosing someone with high blood pressure )  =  0.3

or stated as P(H)  = 0.3

P( Choosing a runner )  =  0.4

or stated as P(R)  = 0.4

Now, P( Selecting a person with high blood pressure as well as being a runner)  = 0.2

⇒ P(H∩ R)  = 0.2

Next, we want to calculate the P(the selected individual is a runner, given they have high blood pressure)

which means we need to determine: P(R/H)

Using BAYES THEOREM:

So, the chance of choosing a person with high blood pressure who is a runner stands at 2/3.

Answer:

The small puzzle took 16% of the total time while the large puzzle took 84%.

Step-by-step explanation:

Response:

Events A and B exhibit independence.

Detailed explanation:

We are provided with

The multiplication principle applicable to events A and B

A correct assertion regarding events A and B is necessary for this principle to hold.

It is understood that for two events A and B to be independent

Consequently, the probability

Thus, the correct assertion concerning events A and B for the application of this principle is stated as

Events A and B are independent.

The 99% confidence interval for the actual mean difference between average mail-order and internet purchase amounts falls within [$(-31.82), $12.02].

Step-by-step clarification:

We know a random sample of 16 mail-order sales receipts shows a mean sale amount of $74.50 and a standard deviation of $17.25.

For internet sales, a random sample of 9 receipts gives a mean sale amount of $84.40 with a standard deviation of $21.25.

The pivotal value utilized for constructing a 99% confidence interval for the true mean difference is given by;

                      P.Q.  =  

 ~

where,

= sample mean of mail-order sales = $74.50

= sample mean of internet sales = $84.40

= standard deviation for mail-order sales = $17.25

= standard deviation for internet sales = $21.25

= number of mail-order sales receipts = 16

= number of internet sales receipts = 9

Furthermore,  

 =   = 18.74

The actual mean difference between average mail-order and internet purchases is denoted by (

).

Thus, the 99% confidence interval for () is expressed as;

      = Here, the t critical value at the 0.5% significance level with 23 degrees of freedom is 2.807.           =

          = [$-31.82, $12.02]

Therefore, the 99% confidence interval for the true mean difference between average mail-order and internet purchases is [$(-31.82), $12.02].