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3 years ago

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Which distribution has the greatest spread

1 answer:

Sauron [17]3 years ago

4 0

For solving this question we will use the relationship between the range of data and the spread of data. The relationship is that "Higher the Range of the Data, Higher is the Spread and lower the range of the data then lower is the spread".

So, keeping in mind this definition let us proceed and check each option and measure their range.

We know that Range is measured as

Range=(Highest Value of the Data)-(Lowest Value of the Data)

a. 13.7-3.1=10.6

b. 423.6-1.3=422.3

c. 38.4-7.2=31.2

d. 231.4-5.5=225.9

As we can see Option b. has the largest range and as range is a measure of spread then option b is the distribution which has the largest spread.

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Assume that the time it takes the housekeeping crew of a local hotel to clean a room varies uniformly between 28 and 45 minutes.

siniylev [52]

Answer:

The probability that the next room will require less than 32 minutes to clean

0.222222 = 22.22%

The probability that the next room will require more than 30 minutes to clean.

0.833333 = 83.33%

The mean

36.5

Standard deviation of the distribution

26.92

Step-by-step explanation:

Total Probable Outcomes = 18

Event 1

Possible outcomes less than 32 = 32-28 = 4

Probability less than 32 = 4/18 = 2/9 = 0.222222

Event 2

Possible outcomes less than 32 = 45-30 = 15

Probability less than 32 = 15/18 = 5/6 = 0.833333

Mean

Mean = (28+29+30+31+32+33+34+35+36+37+38+39+40+41+42+43+44+45)/18 = 36.5

Standard deviation of the distribution

*MS Excel file is attached for solution.

4 0

3 years ago

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tresset_1 [31]

Answer:

a. 81 feet

b. 1152 inches

c. 11 pounds

d. 1.5 gallons

6 0

3 years ago

Read 2 more answers

How do you write 0.1 as a fraction? Please help

wel

Answer:

1 over 9

Step-by-step explanation:

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3 years ago

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During summer weekdays, boats arrive at the inlet drawbridge according to Poisson distribution at a rate of 3 per hour. In a 2-h

mrs_skeptik [129]

Answer:

The probability that no boats arrive is $2.48\times 10^{-3}$ .

Step-by-step explanation:

Poisson distribution:

Poisson distribution is a statistical distribution that helps to find out the probability of a certain is likely occur a specified period of time.

$P(X=x)=\frac{e^{-\lambda t}(\lambda t)^x}{x!}$

$\lambda$ = rate.

Given that, Poisson distribution at a rate of 3 per hour.

$\lambda$ = 3

t=2

x=0

The probability that no boats arrive is

$P(X=0)=\frac{e^{-2\times 3}(2\times 3)^0}{0!}$

$=2.48\times 10^{-3}$

6 0

4 years ago

Midpoint of (-2,-4) and (2,1)

Mice21 [21]

I got it =4/5 hope it’s right

7 0

3 years ago