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
choli [55]
3 years ago
8

The number of accidents per week at a hazardous intersection varies with mean 2.2 and standard deviation of 1.4. The distributio

n takes only integers and most definitely not normal. Let x-bar be the mean of accidents per week at the intersection during one year (52 weeks). What is the approximate probability that x-bar is less than 2
Mathematics
1 answer:
posledela3 years ago
7 0

Answer:

Approximate probability that \overline{X} is less than 2 = 0.1515

Step-by-step explanation:

Given -

Mean (\nu ) = 2.2

Standard deviation (\sigma  ) = 1.4

Sample size ( n ) = 52

Let  \overline{X} be the mean of accidents per week at the intersection during one year (52 weeks) .

probability that \overline{X} is less than 2 =

P(\overline{X}< 2)  = P(\frac{\overline{X} - \nu }{\frac{\sigma }{\sqrt{n}}}< \frac{2 - 2.2 }{\frac{1.4}{\sqrt{52}}})   Putting (Z =\frac{\overline{X} - \nu }{\frac{\sigma }{\sqrt{n}}})

                 = P(Z< - 1.03)    ( Using Z table )

                 = 0.1515

You might be interested in
Tell which measure is greater. One yard or one meter?
tensa zangetsu [6.8K]

Answer:

one yard one yard is bigger. 1 yard=0.9144 meter

8 0
2 years ago
Read 2 more answers
Twice the quantity of a number plus two is greater than the number plus five.
Greeley [361]
2(x+2) > x+5
2x+4 > x+5
2x+4-x > x+5-x
x+4 > 5
x+4-4 > 5-4
x > 1
7 0
3 years ago
padma works at an electronics store. in addition to her salary, she receives 2 percent of the sales dollars she brings in each m
11111nata11111 [884]

Answer:

Step-by-step explanation:

A Commission

7 0
1 year ago
Two numbers have prime factorizations of 2 2 · 3 · 5 and 2 · 3 2 · 7.
ladessa [460]
I think for the question above, instead of 2 · 3^2 · 7 it is <span>2 · 3^2 · 5.
</span>
Two numbers have prime factorizations of 2^2 • 3 • 5 and 2 • 3^2 • 5 (note 2 squared & 3 squared).

Now, to choose the GCF, you choose, for each base factor in either number, the least exponent-ed one; so the GCF needs a factor 2, a factor 3, and a factor 5. Thus the GCF is 30 (their product). [i.e,2 squared is not a common factor]

<span>To create the LCM, you choose, for each base factor in either number, the greatest exponented one. Thus, LCM needs a factor 2 squared, 3 squared, and 5, giving LCM = 4(9)(5) = 180.</span><span />
4 0
3 years ago
Read 2 more answers
A bird cage hangs 5 feet off the floor in Mr. Gruber's kitchen with Judy the canary chirping away inside it. Paddington the cat
ANTONII [103]

3.906m

Step-by-step explanation:

from the topic angle of elevation and depression

putting down the above question diagrammatically

we have a triangle

The angle of elevation pad looking up = 38°

using the tangent rule TOA

TAN∅= OPPOSITE/ADJACENT

we have

tan 38° = x/5

x= tan 38° × 5

x= 0.781 * 5

x = 3.906m

6 0
3 years ago
Other questions:
  • Need help plz it's hard
    7·1 answer
  • Increase 28 by 7 percent
    15·1 answer
  • Which is equivalent to 243 2/5? 3 6 9 12
    8·2 answers
  • Write the pair of fractions as a part of fractions with a common denominator 1/4 and 2/3
    11·1 answer
  • As an estimation 5 miles is 8km. convert 12.5 miles to km
    10·2 answers
  • G(x) = x2 - 2<br> h(x) = 3x + 5<br> Find (g- h)(x)
    5·1 answer
  • Farmer Ed has 800 meters of​ fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not fen
    5·1 answer
  • A roofer needs to repair some shingles on the roof of a house, and uses a 12 foot ladder to reach the roof. In order to clear th
    15·1 answer
  • Becca and Kimberly are running at a constant speed in a marathon. Becca runs at 4.5 miles per hour. Kimberly’s progress is shown
    10·1 answer
  • (c) Use a calculator to verify that Σ(x) = 64, Σ(x2) = 1118, Σ(y) = 628, Σ(y2) = 87,982, and Σ(x y) = 9,627.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!