# Stat 200 week 3 homework, all questions answered, a+ grade guaranteed

**Stat 200 Homework Assignment #3**

**NAME______________________ Jaw ______ / 50**

** **

** **

**STAT 200: Introduction to Statistics**

**Homework #3**

**Clearly Indicate Your Final Answer**

**Total Points Earned:**

**1. ______ / 3**

**2. ______ / 3**

**3. ______ / 7**

**4. ______ / 7**

**5. ______ / 3**

**6. ______ / 4**

**7. ______ / 5**

**8. ______ / 5**

**9. ______ / 5**

**10. ______ / 8**

**Score ______ / 50**

1. (3 tops) Determine whether the dedicated process results in a binomial division (or a division that can be treated as binomial). For those that are NOT binomial, demonstscold at smallest one fitness that is not affable.

a. (1 top) The YSORT manner of gender preoption, patent clear by the Genetics & IVF Institute, is intentional to growth the likelihood that a baby conciliate be a boy. When 291 couples use the YSORT manner and produce race to 291 babies, the genders of the babies are commemorative.

b. (1 top) In an Idaho Potato Company Commission scan of 1000 adults, matters are asked to clarifieded their favorite vegetables, and responses of potatoes, corn, broccoli, tomatoes, or “other” were commemorative.

c. (1 top) Ten incongruous US Senators are casually clarifieded outside resuscitation, and the bulk of provisions they own served are commemorative.

2. (3 tops) In the New York State Win 4 lottery, you fix a bet by clarifieding indecent digits. Repetition is recognized, and attractive requires that your series of indecent digits companiones the indecent digits that are forthcoming inducen. Presume that you fix one bet after a while a series of indecent digits.

a. (1 top) Use the multitudinousness administration to furnish the likelihood that your primeval two digits companion those inducen and your developed two digits do not companion those inducen. That is, furnish *P*(*MMXX*), where “*M*” denotes a companion and “*X*” denotes a digit that does not companion the attractive enumerate.

b. (1 top) Beginning after a while MMXX, shape a exhaustive list of the incongruous practicable arrangements of two companioning digits and two digits that do not companion, then furnish the likelihood for each register in the list.

c. (1 top) Based on the results from distribute (b), what is the likelihood of getting correspondently two companioning digits when you clarifieded indecent digits for the Win 4 lottery diversion?

3. (7 tops) Based on the American Chemical Society, there is a 0.9 likelihood that in the United States, a casually clarifieded $100 is rotten after a while traces of cocaine. Presume that prospect $100 bills are casually clarifieded.

a. (1 top) Furnish the likelihood that all of the $100 bills own traces of cocaine.

b. (1 top) Furnish the likelihood that correspondently seven of the $100 bills own traces of cocaine.

c. (1 top) Furnish the likelihood that the enumescold $100 bills after a while traces of cocaine is six or further.

d. (1 top) If we casually clarifieded prospect dollar bills, what is the expected enumescold (i.e. medium) of bills that would own traces of cocaine?

e. (1 top) If we casually clarifieded prospect dollar bills, what is the flag flexion of the enumescold of bills that would own traces of cocaine?

f. (1 top) Using the dispose administration of thumb, furnish the poverty ordinary compute and climax ordinary compute for the enumescold of bills after a while traces of cocaine if we casually clarifieded prospect dollar bills.

g. (1 top) If we casually clarifieded prospect dollar bills, is six an remarkablely low enumescold for those after a while traces of cocaine?

4. (7 tops) When proofing a manner of gender preoption foregoing to childbirth, we presume that the scold of womanish races is 50%, and we repudiate that self-assertion if we get results that are unordinary in the apprehension that they are very unreasonable to betide after a while a ordinary 50% race scold. In a antecedent proof of the XSORT manner of gender preoption during in-vitro fertilization, 15 races resulted in 14 maids.

a. (1 top) Assuming a 50% scold of womanish races, furnish the likelihood that in 15 races, the enumescold of maids is 14.

b. (1 top) Assuming a 50% scold of womanish races, furnish the likelihood that in 15 races, the enumescold of maids is 15.

c. (1 top) Assuming a 50% scold of womanish races, furnish the likelihood that in 15 races, the enumescold of maids is 13 or fewer.

d. (1 top) Assuming a 50% scold of womanish races, furnish the expected enumescold (i.e. medium) of maids in 15 races.

e. (1 top) Assuming a 50% scold of womanish races, furnish the flag flexion of the enumescold of maids in 15 races.

f. (1 top) Using the dispose administration of thumb, furnish the poverty ordinary compute and climax ordinary compute for the enumescold of maids in 15 races.

g. (1 top) Do these antecedent results allude-to that the XSORT manner is effectual in increasing the likelihood of a baby life a maid? Why or why not?

5. (3 tops) Presume that the halting age to consideration the Metrolink series follows a consistent division betwixt 0 and 12 minutes (that is, a series comes total 12 minutes, and you could land any age in that space-between). If you own not seen the Metrolink list (so, you own no matter when it is hence), furnish the likelihood that:

a. (1 top) You own to halt further than 6 minutes.

b. (1 top) You halt betwixt 3 and 8 minutes.

c. (1 top) You halt correspondently 4 minutes.

6. (4 tops) For the forthcoming flag ordinary division graphs (that is, *μ* = 0, *σ* = 1), furnish the area associated after a while the z-jaw or the z-jaw associated after a while the area.

a.

*Area = ?*

(1 top) b. (1 top)

c. (1 top) d. (1 top)

7. (5 tops) For the forthcoming questions, presume that a casually clarifieded matter is dedicated a blight blindness proof. The proof jaws are ordinaryly as sorted after a while a medium of 0 (*μ* = 0) and a flag flexion of 1 (*σ* = 1). In each height, induce a graph and furnish the likelihood of the dedicated z-score(s).

a. (1 top) Less than -0.19 (z < -0.19).

b. (1 top) Less than 1.96 (z < 1.96).

c. (1 top) Betwixt 1.23 and 2.37 (1.23 < z < 2.37).

d. (1 top) Betwixt -0.62 and 1.78 (-0.62 < z < 1.78).

e. (1 top) Superior than -3.90 (-3.90 < z).

8. (5 tops) Presume that adults own IQ jaws that are ordinaryly as sorted after a while a medium of 100 and a flag flexion of 15 (as on the Wechsler proof).

a. (1 top) For a casually clarifieded adult, furnish the likelihood of an IQ superior than 70.

b. (1 top) Furnish the likelihood that a casually clarifieded adult has an IQ betwixt 90 and 110 (referred to as the *normal* dispose).

c. (1 top) Furnish the likelihood that a casually clarifieded adult has an IQ betwixt 110 and 120 (referred to as *bright ordinary* dispose).

d. (1 top) Furnish the primeval quartile, Q1, which is the IQ jaw separating the floor 25% from the top 75%.

e. (1 top) Mensa Interdiplomatic calls itself “the interdiplomatic eminent IQ fellowship,” and it has further than 100,000 members. Mensa states that “candidates for contortment of Mensa must complete a jaw at or aloft the 98th percentile on a flag proof of apprehension (a jaw that is superior than that completed by 98 percent of the open population prelude the proof).” Furnish the 98th percentile for the population of the Wechsler IQ jaws. This is the smallest jaw contravention the fitness for Mensa contortment.

9. (4 tops) When a soak taxi sank in Baltimore’s Inner Harbor, an inquiry revealed that the trustworthy voyager inculpate for the soak taxi was 3500 pounds. It was besides famous that the medium wprospect of a voyager was presumed to be 140 pounds. Presume a “worst-case” scenario in which all of the voyagers are adult men. (This is a operative self-assertion since Baltifurther regularly hosts conventions and conferences in which inhabitants of the selfselfidentical gender frequently ramble in groups). Presume that gravitys of men are ordinaryly as sorted after a while a medium of 182.9 pounds and a flag flexion of 40.8 pounds.

a. (1 top) If one man is casually clarifieded, furnish the likelihood that he weighs less than 174 pounds (the new compute allude-toed by the National Transportation Safety Board).

b. (1 top) After a while a climax inculpate article of 3500 pounds, how frequent manful voyagers are recognized if we presume a medium wprospect of 140 pounds?

c. (1 top) After a while a climax inculpate article of 3500 pounds, how frequent manful voyagers are recognized if we presume a medium wprospect of 182.9 pounds.

d. (1 top) Why is it indispensable to periodically resurvey and amend the enumescold of voyagers that are recognized on consideration?

10. (8 tops) The ages of the indecent presidents who were assassinated in business-post are {56, 49, 58, 46} for Lincoln, Garfield, McKinley, and Kennedy (respectively). Use these ages as the “population for assassinated presidents” and clarifieded a casual case (after a while resuscitation) of bigness 2.

a. (2 top) List the 16 practicable cases.

b. (1 top) Furnish the medium of each case, then fabricate a consultation representing the sampling division of the case medium. In the consultation, coalesce computes of the case medium that are the selfsame.

c. (1 top) Compare the medium of the population {56, 49, 58, 46} to the medium of the sampling division of the medium.

d. (1 top) Do the case mediums target the compute of the population medium? In open, do case mediums shape cheerful-natured-natured estimators of population mediums? Why or why not?

e. (1 top) Furnish the discrepancy of each case, then fabricate a consultation representing the sampling division of the case discrepancy. In the consultation, coalesce computes of the case discrepancys that are the selfsame.

f. (1 top) Compare the discrepancy of the population {56, 49, 58, 46} to the medium of the sampling division of the discrepancy.

g. (1 top) Do the case discrepancys target the compute of the population discrepancy? In open, do case discrepancys shape cheerful-natured-natured estimators of population discrepancys? Why or why not?