Awell-known author has postulated that 10% of all medicare claims are fraudulent. suppose we were to review 10 medicare claims. the binomial table for this event space is below: b~(10,0.1) p(x=k) p(x≤k) k π k π 0 0.3487 0 0.3487 1 0.3874 1 0.7361 2 0.1937 2 0.9298 3 0.0574 3 0.9872 4 0.0112 4 0.9984 5 0.0015 5 0. 6 0.0001 6 1.000 7 0. 7 1.000 8 0. 8 1.000 9 0. 9 1.000 10 0. 10 1.000 given the above information: a. how many claims would we expect to be fraudulent? b. what is the standard deviation? c. what is the probability that exactly 3 medicare claims are fraudulent? d. what is the probability that more than 3 claims are fraudulent? e. what is the probability that 3 to 5 claims are fraudulent?

a) 1; b) 0.95; c) 0.0574; d) 0.0128; e) 0.0127

Step-by-step explanation:

For part a,

To find the number we would expect (the mean), we multiply the sample size by the probability of success:

10(0.1) = 1

For part b,

To find the standard deviation, we use

Our n is 10, p is 0.1; this makes q = 1-0.1 = 0.9:

For part c,

We use the binomial table, looking up P(X = 3):  0.0574

For part d,

We start out finding P(X ≤ 3):  0.9872.  However, we want P(X > 3), so we subtract from 1:

1-0.9872 = 0.0128

For part d,

We find P(X ≤ 3) and P(X ≤ 5) then subtract:

P(X ≤ 3) = 0.9872; P(X ≤ 5) = 0.9999

0.9999-0.9872 = 0.0127

none cuz there are no "following statements" regarding the question

step-by-step explanation:

false

step-by-step explanation:

rulers and compasses arent required in order to bisect an angle because when bisecting angles, you're making a "half circle" and considering in order to bisect an angle it wouldn't be straight, you wouldn't need either of the two