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marta [7]
3 years ago
8

A popular computer card game keeps track of the number of games played and the number of games won on that computer. The cards a

re shuffled before each game, so the outcome of the game is independent from one game to the next and is based on the skill of the player. Let X represent the number of games that have been won out of 100 games. Under which of the following situations would X be a binomial random variable?
Mathematics
1 answer:
GrogVix [38]3 years ago
5 0

Answer:

Two players of equal skill level each played one game a day for 50 days and their skill level did not change from day to day.

Step-by-step explanation:

(A) The probability of player winning the game depends on the skill level . If  skill level increases the probability to win also increases. The probability of success (win) must remain constant for every trial (condition of binomial distribution), hence, this case cannot be modeled by a random binomial probability.

(B) Different skill levels means the probability of success differs between players, the probability of winning each game would differ between players,  hence. X can not be a binomial random variable.

(C) Same explanation as B  

(D) As both players have same skill set throughout the game, the probability of winning each of the n = 100 games is the cosnat; hence, X can be modeled as a binomial random variable

(E) Same explanation as B and C  

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What weight of dry substance is in 50g of a 3% substance solution? What weight of an 8% solution can we have with the same weigh
Gnoma [55]

Answer:

4.5 g 56.25 g Since the only type of measurement mentioned in this question is weight or mass, I'll assume that the percentage concentration is % m/m (mass/mass). For that type of concentration measurement, simply multiple the percentage by the total mass to get the mass of the desired substance. So 150 g * 3% = 150 g * 0.03 = 4.5g For the amount of 8% solution with the same amount of dry substance, there's 2 ways of calculating the mass of solution. First, use the ratio of percentages, multiplied by the mass of the original solution to get the desired amount of new solution: 3/8 * 150 g = 56.35 g Or calculate it from scratch, like 4.5/X = 8/100 450/X = 8 450 = 8X 56.25 = X In both cases, the result is that you desire 56.25 grams of 8% solution.

8 0
3 years ago
A 25-foot long ladder is propped against a wall at an angle of 18° with the wall. how high up the wall does the ladder reach? ro
Alecsey [184]

Answer

Find out the how high up the wall does the ladder reach .

To proof

let us assume that the height of the wall be x .

As given

A 25-foot long ladder is propped against a wall at an angle of 18° .

as shown in the diagram given below

By using the trignometric identity

cos\theta = \frac{Base}{Hypotenuse}

now

\theta = 18^{\circ}

Base = wall height = x

Hypotenuse = 25 foot

Put in the trignometric identity

cos18^{\circ} = \frac{x}{25}

cos18^{\circ} = \bar{0.9510565162}

x = 23.8 foot ( approx)

Therefore the height of the  ladder be 23.8 foot ( approx) .

8 0
3 years ago
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Naily [24]
I’m not sure but I think u can just subtract 2-1,65 and than multiply by 100
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3 years ago
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