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3 years ago

A man can do work in 12 days how much work can be done in 1 days

1 answer:

3 0

so, the 12 men can complete 1 work in 12 days which is equal to 6 men can complete 12work in X days. ⇒x=726=12 days. So the number of extra days which is needed to complete the work = 18 – 12 = 6 days.

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A commuter must pass through 5 traffic lights on her way to work and will have to stop at each one that is red. She estimates th

sergij07 [2.7K]

Answer:

(a) The mean or expected value of X is 2.2.

(b) The standard deviation of X is 1.3.

Step-by-step explanation:

Let X = number of times the traffic light is red when a commuter passes through the traffic lights.

The probability distribution of X id provided.

The formula to compute the mean or expected value of X is:

$\mu=E(X)=\sum x.P(X=x)$

The formula to compute the standard deviation of X is:

$\sigma=\sqrt{E(X^{2})-(E(X))^{2}}$

The formula of E (X²) is:

$E(X^{2})=\sum x^{2}.P(X=x)$

(a)

Compute the expected value of X as follows:

$E(X)=\sum x.P(X=x)\\=(0\times0.06)+(1\times0.25)+(2\times0.35)+(3\times0.15)+(4\times0.13)+(5\times0.06)\\=2.22\\\approx2.2$

Thus, the mean or expected value of X is 2.2.

(b)

Compute the value of E (X²) as follows:

$E(X^{2})=\sum x^{2}.P(X=x)\\=(0^{2}\times0.06)+(1^{2}\times0.25)+(2^{2}\times0.35)+(3^{2}\times0.15)+(4^{2}\times0.13)+(5^{2}\times0.06)\\=6.58$

Compute the standard deviation of X as follows:

$\sigma=\sqrt{E(X^{2})-(E(X))^{2}}\\=\sqrt{6.58-(2.22)^{2}}\\=\sqrt{1.6516}\\=1.285\\\approx1.3$

Thus, the standard deviation of X is 1.3.

4 0

4 years ago

Read 2 more answers

A box of cereal contains 18 cups. Ben eats 2 1/4 cups every serving. How many servings can he eat?

g100num [7]

Ben can have 8 servings total!

Hope this helps! :)

4 0

4 years ago

Please help me !!

kherson [118]

The second answer is D) it will increase 8 times

7 0

3 years ago

Read 2 more answers

Find the missing length

antoniya [11.8K]

117 (if you put the answer in the green box)

9^2 = 81 , 6^2=36
81+36 = 117

Otherwise 10.82 if this is to the nearest hundredth

3 0

3 years ago

one apartment costs $1000 a month with deposit off $1500. Another apartment costs 1175 a month with a 1200 deposit. how many mon

kkurt [141]

3 or 4 because if you add 1000 and 1500,1175 and 1200.

8 0

3 years ago

A man can do work in 12 days how much work can be done in 1 days​

A man can do work in 12 days how much work can be done in 1 days