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Veronika [31]
3 years ago
7

We perform an experiment that consists of independent trials where the probability of success is p = 0.25. (a) Let X be the numb

er of successes in 800 trials. Using the appropriate approximation, calculate P{X > 220}.
Mathematics
1 answer:
photoshop1234 [79]3 years ago
5 0

Answer:

0.0482

Step-by-step explanation:

Given the following :

Probability of success : p(success) = 0.25

Number of trials = 800

X = number of successes

Calculate P(X > 220)

The problem above can be solved using the binomial probability formula:

P(X > 220) = P(X = 221) + P(X =222)... + P(X =800)

To save computation time, we coild use the online binomial probability calculator :

P(X > 220) = 0.0482

The binomcdf function of a graphing calcukatur can also be used :

1 - binomcdf(800, 0.25, 220)

1 - (0.95177363855) = 0.04822

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f + g is a simple sum of the functions. This refers to increasing the good effect of exercise with diet effect, therefore more weight could be lost.

(f + g)(x) = f(x) + g(x) = 2x + 210 + 2x + 125 = 4x + 335, so (f + g)(x) = 4x + 335.

For x = 3 (meaning 3 hours of exercise) we have:

(f + g)(3) = 4·3 + 335 = 12 + 335 = 347 calories, after 3 hours of exercice.

The correct answer is: 347 calories burned while combining diet with 3 hours of exercise.

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Step-by-step explanation:

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oksian1 [2.3K]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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