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Greeley [361]
2 years ago
5

Every day, the number of network blackouts has a distribution (probability mass function)

Mathematics
1 answer:
boyakko [2]2 years ago
3 0
Expected Mean, E(X), is obtained by multiplying each pair of x and its P(x) and add up the answers

E(X) = (0×0.7) + (1×0.2) + (2×0.1) = 0.4

The formula to calculate the variance, Var(X), is given by E(X)² - (E(X))²

E(X²) = (0²×0.7) + (1²×0.2) + (2²×0.1) = 0+0.2+0.4 = 0.6
(E(X))² = (0.4)² = 0.16

Var(X) = 0.6 - 0.16 = 0.44

Translating these answers into the context we have

E(Y) = 0.4×500 = $200
Var(Y) = $110

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The temperature reading from a thermocouple placed in a constant-temperature medium is normally distributed with mean μ, the act
stealth61 [152]

Answer:  0.2551

Step-by-step explanation:

Given : The temperature reading from a thermocouple placed in a constant-temperature medium is normally distributed with mean μ, the actual temperature of the medium, and standard deviation σ.

Significance level : \alpha=1-0.95=0.05

The critical z-value for 95% confidence : z_{\alpha/2}=1.960 (1)

Since , z=\dfrac{x-\mu}{\sigma} (where x be any random variable that represents the temperature reading from a thermocouple.)

Then, from (1)

\dfrac{x-\mu}{\sigma}=1.96\\\\ x-\mu=1.96\sigma     (2)

Also,  all readings are within 0.5° of μ,

i.e. x-\mu

i.e. 1.96\sigma   [From (2)]

i.e. \sigma  

i.e. \sigma\approx0.2551

The required standard deviation : \sigma=0.2551

3 0
2 years ago
Find the exact value of cos A in simplest radical form?​
Mamont248 [21]

Answer:

cosA = 7/8

Step-by-step explanation:

cos∅ = adjacent over hypotenuse

cosA = 14/16

cosA = 7/8

3 0
2 years ago
Person A speaks the truth 88% of the time. The probability of person B speaking the truth on an occasion that person A also spea
lawyer [7]

we are given the probability that is 88% of  person A speaking the truth. The probability of person B speaking the truth on an occasion that person A also speaks the truth is 43%. This means the probability that person A speaks the truth, but person B lies 0.88*(1-0.43) equal to 0.5016
7 0
2 years ago
Read 2 more answers
Every weekend, jaylon downloads interesting music on his phone from an app. He downloads 15 songs at $1.99 and 7 songs at $2.50.
butalik [34]

Answer:

15*1.99

7*2.50

Step-by-step explanation:

I think you would multiply them (im not sure im not very good with math if its wrong im really sorry hope you get it though good luck :) ! )

6 0
2 years ago
Bud's cheeseburger and fries contained 1310 milligrams and 350 milligrams of sodium, respectively. Together they contained 66.4%
Serhud [2]

Answer:

The recommended daily intake of sodium for a 2000 calorie diet is 2500 mg.

Step-by-step explanation:

In order to calculate the daily intake of sodium we first need to calculate the mass of sodium present in both snacks, this is given by their sum.

\text{total sodium} = 1310 + 350 = 1660 \text{ mg}

We can now apply a rule of three for which the total sodium from the snacks is related to 66.4% in the same proportion as "x" mg, which is the value we want to know, is related to 100%. So we have:

\frac{1660}{x} \frac{mg}{mg} = \frac{66.4\%}{100\%}

66.4*x = 1660*100\\x = \frac{166000}{66.4} = 2500 \text{ mg}

The recommended daily intake of sodium for a 2000 calorie diet is 2500 mg.

5 0
2 years ago
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