Suppose the probability of selecting a supermarket shopper who prefers plastic bags instead of paper bags is 50%. Out of 150 shoppers, how many can you expect will prefer plastic bags?

You can expect 75 shoppers to prefer plastic bags.

To calculate this, you simply multiply the probability of selecting a shopper who prefers plastic bags (50% or 0.5) by the total number of shoppers (150):

0.5 x 150 = 75

Well, if the probability of choosing a supermarket shopper who prefers plastic bags is 50%, then it's safe to say that half of them will prefer plastic bags. So, out of 150 shoppers, you can expect approximately 75 shoppers to prefer plastic bags. That's a lot of people choosing plastic over paper! Just remember to recycle those bags, folks, because we don't want to see them end up in the wild, causing mischief with all the wildlife!

To find the expected number of shoppers who prefer plastic bags, we need to multiply the probability of selecting a shopper who prefers plastic bags by the total number of shoppers.

Given that the probability of selecting a shopper who prefers plastic bags is 50% (or 0.5), and there are 150 shoppers, the calculation is as follows:

Expected number of shoppers who prefer plastic bags = probability of selecting a shopper who prefers plastic bags * total number of shoppers
= 0.5 * 150
= 75

Therefore, we can expect that out of 150 shoppers, approximately 75 shoppers will prefer plastic bags.

To find out how many shoppers you can expect to prefer plastic bags, you can use the concept of expected value. The expected value represents the average outcome you would expect if you repeated the experiment (in this case, selecting supermarket shoppers) many times.

In this scenario, the probability of selecting a shopper who prefers plastic bags is 50%, which can also be expressed as 0.5. The total number of shoppers is given as 150.

To calculate the expected number of shoppers who prefer plastic bags, you can multiply the probability (0.5) by the total number of shoppers (150):

Expected number = Probability × Total number
Expected number = 0.5 × 150

Calculating this, you find:

Expected number = 75

Therefore, you can expect that out of the 150 shoppers, around 75 shoppers will prefer plastic bags.

A single coin is tossed 300 times. Heads were observed 180 times. What is the long-run relative frequency of tails? Express the answer in decimal form.(1 point)