1. X∼Bernoulli(p). Find E(X). 2. For each of the following random variables, find, P(2<X≤ 6) and...

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1. X∼Bernoulli(p). Find E(X). 2. For each of the following random variables, find, P(2<X≤ 6) and...

1. X∼Bernoulli(p). Find E(X).

2. For each of the following random variables, find, P(2<X≤ 6) and P(X > 5|X < 8)

a. X∼Geometric(0.15)

b. X∼Binomial(10,0.1)

c. X∼Hypergeometric(12,10,10)

3. Births in a hospital occur randomly at an average rate of 1.8 births per hour.

a. What is the probability of observing 4 births in a given hour at the hospital?

b. What about the probability of observing more than or equal to 2 births in a given hour at the hospital?

c. What is the probability that we observe 5 births in a given 2 hour interval?

math Statistics-And-Probability

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Answer 1

Answer #1

1. Here X∼Bernoulli(p).

We know for Bernoulli distribution, X= 0,1

and P(x) = px (1-p)1-x

Now

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Answer 2

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