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3 years ago

The following list shows the favourite colours of some students:

Mathematics

1 answer:

tresset_1 [31]3 years ago

7 0

Answer: Green

Explanation:

Mode is the number (or in this case, color) that appears the most amount of times.

This is how many time each color appears:

Green: 3

Black: 3

Blue: 1

Red: 4

Orange: 2

Since Green appears the most, the mode is Green.

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The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.

Ulleksa [173]

Answer:

0.52763 is the probability that the time between the next two calls will be 54 seconds or less.

0.19285 is the probability that the time between the next two calls will be greater than 118.5 seconds.

Step-by-step explanation:

We are given the following information in the question:

The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.2 minutes.

The distribution function can be written as:

$f(x) = \lambda e^{-\lambda x}\\\text{where lambda is the parameter}\\\\\text{Mean} = \mu = \displaystyle\frac{1}{\lambda}\\\\\Rightarrow 1.2 = \frac{1}{\lambda}\\\\\lambda = 0.84 \\f(x) = 0.84 e^{0.84 x}$

The probability for exponential distribution is given as:

$P( x \leq a) = 1 - e^{\frac{-a}{\mu}}\\\\P(a \leq x \leq b) = e^{\frac{-a}{\mu} -\frac{-b}{\mu}}$

a) P( time between the next two calls will be 54 seconds or less)

$P( x \leq 0.9)\\= 1 - e^{\frac{\frac{-54}{60}}{1.2}} = 0.52763$

0.52763 is the probability that the time between the next two calls will be 54 seconds or less.

b) P(time between the next two calls will be greater than 118.5 seconds)

$p( x > \frac{118.5}{60}) = P(x > 1.975)\\\\ = 1 - P(x \leq 1.975) \\\\= 1 -1+ e^{\frac{-1.975}{1.2}}\\\\= 0.19285$

0.19285 is the probability that the time between the next two calls will be greater than 118.5 seconds.

6 0

3 years ago

To amend the U.S. Constitution, 3/4 of the 50 states must approve the amendment. If 35 states approve the amendment will the con

Tomtit [17]

No. That’s only 70%. You need 75%

5 0

3 years ago

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Abby has just started training for a marathon. She ran 15 miles in total during her first week of training. She wants to add an

dsp73

Answer:

204 miles i think

Step-by-step explanation:

7 0

3 years ago

Tommy has a pet monkey. Every day, his monkey eats 4 apples in the morning. The monkey also eats two bananas for every banana to

Kipish [7]

So, if tom eats 10 bananas in 10 days

than, monkey have eaten 40 apples and 20 bananas

hope this helped

8 0

3 years ago

The sum of 2 rational numbers is 5/2. if one of the number is -7/3. then find the other number.

serg [7]

Answer:

can you help me on myquestio

Step-by-step explanation:

6 0

3 years ago

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