5. Use the normal approximation to the binomial to find the probabilities for the specific value(s) of X. a. n= 30, p = 0.5, X = b. n = 50, p = 0.8, X = 44 c. n= 100, p 0.1, X = 12 %3D

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A:

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A: Mean =θ ,

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A:

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A:

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A: Solution: From the given information, n=300 and p=0.3.

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A: Answer:----.                 Date:----7/10/2021

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A: Given that, Variance = 6 Probability, p =0.5 Number of trials, n = 24

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A: Given  X~exp(parameter=0.0025)

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A:

Q: If a random variable X ∼ Exponential(1). Find the distribution of Y = X/λ.

A:

Q: For what values of k canf(x) = (1 − k)kx serve as the values of the probability distribution of…

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A: We have given the following statement about the binomial distribution.

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Q: Can the Normal approximation to the binomial be used when n=20 and p=0.8?

A:

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A:

Q: The lifetime T (in years) for a particular type of electric toothbrush is assumed to have the…

A: Solution

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A: From the provided information, X~B (3, 0.82) Probability of success (p) = 0.82 Sample size (n) = 3

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