A laundry basket contains 18 blue socks and 24 black socks. What is the probability of randomly picking 2 black socks, without r

Response:

• 4099 yes
• 4110 no
• 5909 no
• 5011 yes

Step-by-step breakdown:

The digits are related through a factor of 10 when they are identical. 4099 and 5011 have identical digits in the tens and units places. 4110 and 5909 do not share this property.

Answer:

The mean and center will be nearly identical, while the variability in simulation B will exceed that of simulation A.

Step-by-step explanation:

Solution

In general, the size of the sample significantly influences the distribution.

As a guideline, by quadrupling the sample size, the sampling error typically reduces by half.

Here, simulation B has a sample size that is twice that of simulation A.

Thus, the sampling error related to the mean is affected, and it stands that A does not have a greater value.

However, its sample size is considerable for this context, making them nearly equal.

Additionally, increased trials lead to decreased variability in simulation. A displays lesser variability.

As trial numbers increase, variability in simulation declines, hence A has lesser variability.

Response:

Step-by-step breakdown:

Average lifespan of electric bulbs = 300 hours

standard deviation = 45

Total tested bulbs = 100

What is the probability that the sample mean is below 295?

Utilizing the Central Limit Theorem

Referencing the normal distribution table: