Mathematics, 25.02.2020 02:58 whittingtondee7084

Possible values of X, the number of components in a system submitted for repair that must be replaced, are 1, 2, 3, and 4 with corresponding probabilities .15, .35, .35, and .15, respectively. a. Calculate E(X) and then E(5 2 X). b. Would the repair facility be better off charging a flat fee of $75 or else the amount $[150/(5 2 X)]

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Answer from: amourayanna321

Step-by-step explanation:

Given that possible values of X, the number of components in a system submitted for repair that must be replaced, are 1, 2, 3, and 4 with corresponding probabilities .15, .35, .35, and .15, respectively

To find E(x)

$E(x) = \Sigma x_i p_i\\= 1(0.15)+2(0.35)+3(0.35)+4(0.15)\\=0.15+0.70+1.05+0.60\\= 2.50$

To find E(5.2x)

By linear property ofExpectation we have

E(5.2x) = $5.2E(x) \\=5.2*2.5\\=13$

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Flat fee of 75 would incur a cost of 75*2.5 = 187.50

Instead 150 (5.2x) would incur on an average = 150

The second one is preferred as it shows cost to be lower.

Answer from: Quest

"it's not the heat, it's the humidity". that's a partly valid phrase you may have heard in the summer, but it's actually both. the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature. this has important considerations for the human body's comfort. when the body gets too hot, it begins to perspire or sweat to cool itself off. if the perspiration is not able to evaporate, the body cannot regulate its temperature. evaporation is a cooling process. when perspiration is evaporated off the body, it effectively reduces the body's temperature. when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases. in other words, the human body feels warmer in humid conditions. the opposite is true when the relative humidity decreases because the rate of perspiration increases. the body actually feels cooler in arid conditions. there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation:

75% of the temperatures are below what value? how do you know? 75% of the temperatures are above w

Answer from: Quest

Ithink it is correct but just ask someone else but i am sure it it

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Possible values of X, the number of components in a system submitted for repair that must be replace...

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