1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mel-nik [20]
3 years ago
14

A survey of U.S. adults found that 67% oppose raising the Medicare eligibility age from 65 to 67. You randomly select 80 U.S. ad

ults S and ask them how they feel about raising the Medicare eligibility age from 65 to 67. Find the probability that the number who oppose raising the age is (a) at least 65, (b) exactly 50, and (c) more than 60, and (d) identify any unusual events. Explain.
Mathematics
1 answer:
Dimas [21]3 years ago
6 0

Answer:

0.477%

6.55%

5.05%

Event in question (a)

Step-by-step explanation:

Given that:

p = 0.67 ; n = 80

Using Normal approximation :

Mean (m) = np = 80 * 0.67 = 53.6

Standard deviation (s) = sqrt(np(1-p)) = sqrt(80*0.67*0.33) = 4.2057

probability that the number who oppose raising the age is

(a) at least 65

65 - 0.5 = 64.5 = x

Z = (x - m) / s

Z = (64.5 - 53.6) / 4.2057 = 2.592

P(Z ≥ 2. 592) = 0.004771 (Z probability calculator)

(b) exactly 50

x = 50 + 0.5 = 50.5 ; x = 50 - 0.5 = 49.5

Z = (50.5 - 53.6) / 4.2057 = - 0.737

Z = (49.5 - 53.6) / 4.2057 = - 0.974

P(Z < - 0.737) - p(Z < 0.974) (Z probability calculator)

0.23056 - 0.16503 = 0.06553

(c) more than 60, and (d) identify any unusual events

x = 60 + 0.5 = 60.5

Z = (60.5 - 53.6) / 4.2057 = 1.64

P(Z > 1.64) = 0.0505

D.) Event with probability of less than 5%, which is event in (a) with probability of 0.477%

You might be interested in
M=2 can some one help me I need to evaluate the expression it says hint substitute m for 2
Semenov [28]

Answer:

LOL I NEED POINTS SORRY NOT SORRY

Step-by-step explanation:

8 0
3 years ago
What is -0.75 - 0.4 simplified
anzhelika [568]

Answer:

-1.15

Step-by-step explanation:

Subtract  0.4  from  − 0.75 .

3 0
3 years ago
Read 2 more answers
36 mi/hr ft/min please help me I need help
irakobra [83]
36 min in a hiur is 120
3 0
3 years ago
43⋅(10025)−50 please help me someone
Mashutka [201]
43 * (10025) - 50 = 431075 - 50 = 431025
5 0
3 years ago
Read 2 more answers
What is the height of the tree?
Nataly [62]

Answer:

The tree is 16 ft tall

3 0
3 years ago
Other questions:
  • Graph the equation.<br>2y-9= -2 please show work​
    6·1 answer
  • Circle O is shown. Chords B D and C A intersect at point E. Angle B E A is 112 degrees. The measure of arc B A is 120 degrees. T
    9·2 answers
  • How to reduce 10/4 i don’t know how to
    8·2 answers
  • The weights of bats in a zoo are normally distributed with a mean of 2.2 pounds and a standard deviation of 0.3 pounds. About wh
    12·2 answers
  • I am honestly the worst at geometry and this is my last proof for my class could someone help me, I don't wanna fail this proof.
    11·1 answer
  • Make a conjecture about the next two items in the sequence.
    12·1 answer
  • one company makes inflatable swimming pools that come in four sizes of rectangular prisms. the length of each pool is twice the
    13·2 answers
  • What is 3(4x+1)-9x=12-6x
    6·2 answers
  • Write a direct or inverse variation equation for each relation.
    9·1 answer
  • What is the distance, to the nearest tenth
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!