A survey of consumer finance found that 25.4% of credit-card-holding families hardly ever pay off the balance. Suppose a random sample of 20 credit-card-holding families is taken. Find the probabilities of each of the following results. Source: Statistical Abstract of the United States. 25. Exactly 6 families hardly ever pay off the balance. 26. Exactly 9 families hardly ever pay off the balance. 27. At least 4 families hardly ever pay off the balance. 28. At most 5 families hardly ever pay off the balance.

25. P(6) = 0.1721

26. P(9) = 0.0294

27.

28.

Step-by-step explanation:

When we have n identical and independent events with a probability p of success and (1-p) of fail, we have a Binomial distribution. So, the probability that x events are success is calculated as:

So, the probability that x families hardly ever pay off the balance follows a binomial distribution and it is calculated as:

where n is 20 and p is 0.254.

Then, the probability that exactly 6 families hardly ever pay off the balance is:

The probability that exactly 9 families hardly ever pay off the balance is:

The probability that at least 4 families hardly ever pay off the balance is:

So, using the same equation to find every probability, we get:

Finally, the probability that at most 5 families hardly ever pay off the balance is:

d i think

step-by-step explanation:

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.