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3 years ago

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Emma usually has $1000 in her account at any given time during the month. She usually visits the atm twice a week and is interes

ted in banking online options. Bank r has 10 atms within a 5 mile radius of home. Bank s has one 10 miles from work. Which bank should she choose?

1 answer:

vovikov84 [41]3 years ago

6 0

She should choose bank r because we don't know how far she is from work.

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According to the article "Characterizing the Severity and Risk of Drought in the Poudre River, Colorado" (J. of Water Res. Plann

mihalych1998 [28]

Answer:

(a) P (Y = 3) = 0.0844, P (Y ≤ 3) = 0.8780

(b) The probability that the length of a drought exceeds its mean value by at least one standard deviation is 0.2064.

Step-by-step explanation:

The random variable <em>Y</em> is defined as the number of consecutive time intervals in which the water supply remains below a critical value <em>y₀</em>.

The random variable <em>Y</em> follows a Geometric distribution with parameter <em>p</em> = 0.409<em>.</em>

The probability mass function of a Geometric distribution is:

$P(Y=y)=(1-p)^{y}p;\ y=0,12...$

(a)

Compute the probability that a drought lasts exactly 3 intervals as follows:

$P(Y=3)=(1-0.409)^{3}\times 0.409=0.0844279\approx0.0844$

Thus, the probability that a drought lasts exactly 3 intervals is 0.0844.

Compute the probability that a drought lasts at most 3 intervals as follows:

P (Y ≤ 3) = P (Y = 0) + P (Y = 1) + P (Y = 2) + P (Y = 3)

$=(1-0.409)^{0}\times 0.409+(1-0.409)^{1}\times 0.409+(1-0.409)^{2}\times 0.409\\+(1-0.409)^{3}\times 0.409\\=0.409+0.2417+0.1429+0.0844\\=0.8780$

Thus, the probability that a drought lasts at most 3 intervals is 0.8780.

(b)

Compute the mean of the random variable <em>Y</em> as follows:

$\mu=\frac{1-p}{p}=\frac{1-0.409}{0.409}=1.445$

Compute the standard deviation of the random variable <em>Y</em> as follows:

$\sigma=\sqrt{\frac{1-p}{p^{2}}}=\sqrt{\frac{1-0.409}{(0.409)^{2}}}=1.88$

The probability that the length of a drought exceeds its mean value by at least one standard deviation is:

P (Y ≥ μ + σ) = P (Y ≥ 1.445 + 1.88)

= P (Y ≥ 3.325)

= P (Y ≥ 3)

= 1 - P (Y < 3)

= 1 - P (X = 0) - P (X = 1) - P (X = 2)

$=1-[(1-0.409)^{0}\times 0.409+(1-0.409)^{1}\times 0.409\\+(1-0.409)^{2}\times 0.409]\\=1-[0.409+0.2417+0.1429]\\=0.2064$

Thus, the probability that the length of a drought exceeds its mean value by at least one standard deviation is 0.2064.

6 0

3 years ago

Match the following.

WITCHER [35]

Migrate = to move from one place to another by people or animalsGlacier = large body of iceExtinct = no longer livingNomads = people who wander from place to place with no fixed homesIndigenous = Native; originating in the region or country where foundBering Strait = body of water between Russia and AlaskaArtifact = tools or weapons made by people in the past

7 0

3 years ago

Someone please help me

Vitek1552 [10]

Answer:

x = 34°

Step-by-step explanation:

The chord- chord angle x is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

x = $\frac{1}{2}$ ( AB + CD ) = $\frac{1}{2}$ (45 + 23)° = 0.5 × 68° = 34°

8 0

2 years ago

I will mark you the brainliest <br><br> What is the opposite polynomial?

JulsSmile [24]

Answer:

e t

Step-by-step explanation:

8 0

3 years ago

The area of a circle is 16cm2. What is the circle's circumference?

Delicious77 [7]

A=pir^2
c=2pir

a=pir^2=16
pir^2=16
divide both sides by pi or about 3.141592
r^2=5.0929581789406507446042804279205
sqrt both sides
r=2.2567583341910251477923178062431

circumference=2pir
circumference=2pi(2.2567583341910251477923178062431)
c=4.5135166683820502955846356124862pi
about 4.5pi square cm

7 0

3 years ago