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

this story was prepared by jim

mccullaugh in los angeles and

al stewart in new york.

new york the colossal success of "top gun" appears to have dramatically altered madison avenue's

perception of corporate sponsorship

of home video projects.

the paramount home video re- lease, featuring a 60- second diet

pepsi spot, was by no means the

first prerecorded video to carry an advertiser's plug, but it was the

first major theatrical release to do so. in the aftermath of the title's

success, paramount is widely ex- pected to ink a similar deal for

"crocodile dundee" or "star trek

iv" or both.

corporate america's new attraccds push british

recording sales

to 19% gain

london fueled by the compact

disk boom, the value of u.k. manu- facturer shipments of recordings

rose 19% in the 12 -month period ended march 1987, according to the

british phonographic industry.

total value of u.k. shipments for

the period was $755 million for all

configurations. (all value figures

are based on an exchange rate of

$1.68 to the pound sterling.)

cd sales totaled 10.7 million units

worth $121.3 million- compared

with 3.7 million units worth $39.5

million in the prior 12 months -and

accounted for two -thirds of the

overall gain in trade value. at present growth rates, says the bpi, cd

sales for calendar 1987 will reach 20

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step-by-step explanation: